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40143320445000 = 233547687348149
BaseRepresentation
bin10010010000010100110000…
…10110101111000001001000
312021010122221000121222022010
421020022120112233001020
520230202010013220000
6221213330430455520
711312154621526503
oct1110123026570110
9167118830558263
1040143320445000
1111877760947733
1246040649645a0
1319526640498c6
149cad38ac613a
154993471cdd50
hex2482985af048

40143320445000 has 160 divisors (see below), whose sum is σ = 125424407592000. Its totient is φ = 10703462112000.

The previous prime is 40143320444999. The next prime is 40143320445001. The reversal of 40143320445000 is 54402334104.

It is an interprime number because it is at equal distance from previous prime (40143320444999) and next prime (40143320445001).

It is a super-2 number, since 2×401433204450002 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (40143320445001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 115130926 + ... + 115479074.

It is an arithmetic number, because the mean of its divisors is an integer number (783902547450).

Almost surely, 240143320445000 is an apocalyptic number.

40143320445000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40143320445000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62712203796000).

40143320445000 is an abundant number, since it is smaller than the sum of its proper divisors (85281087147000).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

40143320445000 is a wasteful number, since it uses less digits than its factorization.

40143320445000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355865 (or 355846 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

Adding to 40143320445000 its reverse (54402334104), we get a palindrome (40197722779104).

The spelling of 40143320445000 in words is "forty trillion, one hundred forty-three billion, three hundred twenty million, four hundred forty-five thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 625 750 1000 1250 1500 1875 2500 3000 3750 5000 7500 7687 15000 15374 23061 30748 38435 46122 61496 76870 92244 115305 153740 184488 192175 230610 307480 348149 384350 461220 576525 696298 768700 922440 960875 1044447 1153050 1392596 1537400 1740745 1921750 2088894 2306100 2785192 2882625 3481490 3843500 4177788 4612200 4804375 5222235 5765250 6962980 7687000 8355576 8703725 9608750 10444470 11530500 13925960 14413125 17407450 19217500 20888940 23061000 26111175 28826250 34814900 38435000 41777880 43518625 52222350 57652500 69629800 87037250 104444700 115305000 130555875 174074500 208889400 217593125 261111750 348149000 435186250 522223500 652779375 870372500 1044447000 1305558750 1740745000 2611117500 2676221363 5222235000 5352442726 8028664089 10704885452 13381106815 16057328178 21409770904 26762213630 32114656356 40143320445 53524427260 64229312712 66905534075 80286640890 107048854520 133811068150 160573281780 200716602225 267622136300 321146563560 334527670375 401433204450 535244272600 669055340750 802866408900 1003583011125 1338110681500 1605732817800 1672638351875 2007166022250 2676221363000 3345276703750 4014332044500 5017915055625 6690553407500 8028664089000 10035830111250 13381106815000 20071660222500 40143320445000