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40799393280 = 29335590269
BaseRepresentation
bin100101111111110101…
…010101011000000000
310220022101020220221000
4211333311111120000
51132024121041110
630424252332000
72643022056312
oct457765253000
9126271226830
1040799393280
1116337215048
127aa7774000
133b02882239
141d908197b2
1510dbc8e1c0
hex97fd55600

40799393280 has 160 divisors (see below), whose sum is σ = 144923090400. Its totient is φ = 10879819776.

The previous prime is 40799393263. The next prime is 40799393407. The reversal of 40799393280 is 8239399704.

40799393280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×407993932802 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 226015 + ... + 364254.

It is an arithmetic number, because the mean of its divisors is an integer number (905769315).

Almost surely, 240799393280 is an apocalyptic number.

40799393280 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40799393280 is an abundant number, since it is smaller than the sum of its proper divisors (104123697120).

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

40799393280 is an equidigital number, since it uses as much as digits as its factorization.

40799393280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 590301 (or 590279 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The spelling of 40799393280 in words is "forty billion, seven hundred ninety-nine million, three hundred ninety-three thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 128 135 144 160 180 192 216 240 256 270 288 320 360 384 432 480 512 540 576 640 720 768 864 960 1080 1152 1280 1440 1536 1728 1920 2160 2304 2560 2880 3456 3840 4320 4608 5760 6912 7680 8640 11520 13824 17280 23040 34560 69120 590269 1180538 1770807 2361076 2951345 3541614 4722152 5312421 5902690 7083228 8854035 9444304 10624842 11805380 14166456 15937263 17708070 18888608 21249684 23610760 26562105 28332912 31874526 35416140 37777216 42499368 47221520 53124210 56665824 63749052 70832280 75554432 79686315 84998736 94443040 106248420 113331648 127498104 141664560 151108864 159372630 169997472 188886080 212496840 226663296 254996208 283329120 302217728 318745260 339994944 377772160 424993680 453326592 509992416 566658240 637490520 679989888 755544320 849987360 906653184 1019984832 1133316480 1274981040 1359979776 1511088640 1699974720 2039969664 2266632960 2549962080 2719959552 3399949440 4079939328 4533265920 5099924160 6799898880 8159878656 10199848320 13599797760 20399696640 40799393280