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40243144313000 = 2353193757244871
BaseRepresentation
bin10010010011001110101100…
…10100100100100010101000
312021111012120220211212212102
421021213112110210202220
520233320424421004000
6221331240102432532
711322320426436566
oct1111472624444250
9167435526755772
1040243144313000
11119060269121a2
12461b483732748
13195bbb220ac15
149d1ac85b8a36
1549bc3ac263d5
hex2499d65248a8

40243144313000 has 128 divisors (see below), whose sum is σ = 101804280364800. Its totient is φ = 14837870304000.

The previous prime is 40243144312961. The next prime is 40243144313003. The reversal of 40243144313000 is 31344134204.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (40243144313003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27919436 + ... + 29325435.

It is an arithmetic number, because the mean of its divisors is an integer number (795345940350).

Almost surely, 240243144313000 is an apocalyptic number.

40243144313000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40243144313000 is an abundant number, since it is smaller than the sum of its proper divisors (61561136051800).

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

40243144313000 is a wasteful number, since it uses less digits than its factorization.

40243144313000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57244948 (or 57244934 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 29.

Adding to 40243144313000 its reverse (31344134204), we get a palindrome (40274488447204).

The spelling of 40243144313000 in words is "forty trillion, two hundred forty-three billion, one hundred forty-four million, three hundred thirteen thousand".

Divisors: 1 2 4 5 8 10 19 20 25 37 38 40 50 74 76 95 100 125 148 152 185 190 200 250 296 370 380 475 500 703 740 760 925 950 1000 1406 1480 1850 1900 2375 2812 3515 3700 3800 4625 4750 5624 7030 7400 9250 9500 14060 17575 18500 19000 28120 35150 37000 70300 87875 140600 175750 351500 703000 57244871 114489742 228979484 286224355 457958968 572448710 1087652549 1144897420 1431121775 2118060227 2175305098 2289794840 2862243550 4236120454 4350610196 5438262745 5724487100 7155608875 8472240908 8701220392 10590301135 10876525490 11448974200 14311217750 16944481816 21180602270 21753050980 27191313725 28622435500 40243144313 42361204540 43506101960 52951505675 54382627450 57244871000 80486288626 84722409080 105903011350 108765254900 135956568625 160972577252 201215721565 211806022700 217530509800 264757528375 271913137250 321945154504 402431443130 423612045400 529515056750 543826274500 804862886260 1006078607825 1059030113500 1087652549000 1609725772520 2012157215650 2118060227000 4024314431300 5030393039125 8048628862600 10060786078250 20121572156500 40243144313000