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40120424433432 = 23327641571240769
BaseRepresentation
bin10010001111101010000111…
…01001011000011100011000
312021001110211100202002000200
421013311003221120130120
520224313112123332212
6221155022445502200
711310414342613260
oct1107650351303430
9167043740662020
1040120424433432
1111868a81723322
1245bb734b71960
131950455699775
149c9ba5d467a0
154989570b06dc
hex247d43a58718

40120424433432 has 96 divisors (see below), whose sum is σ = 124184301789600. Its totient is φ = 11462790500352.

The previous prime is 40120424433403. The next prime is 40120424433457. The reversal of 40120424433432 is 23433442402104.

40120424433432 is a `hidden beast` number, since 4 + 0 + 1 + 204 + 2 + 443 + 3 + 4 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31714744 + ... + 32955512.

It is an arithmetic number, because the mean of its divisors is an integer number (1293586476975).

Almost surely, 240120424433432 is an apocalyptic number.

40120424433432 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

40120424433432 is an abundant number, since it is smaller than the sum of its proper divisors (84063877356168).

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

40120424433432 is a wasteful number, since it uses less digits than its factorization.

40120424433432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1304945 (or 1304938 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 36.

Adding to 40120424433432 its reverse (23433442402104), we get a palindrome (63553866835536).

The spelling of 40120424433432 in words is "forty trillion, one hundred twenty billion, four hundred twenty-four million, four hundred thirty-three thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 64157 128314 192471 256628 384942 449099 513256 577413 769884 898198 1154826 1240769 1347297 1539768 1796396 2309652 2481538 2694594 3592792 3722307 4041891 4619304 4963076 5389188 7444614 8083782 8685383 9926152 10778376 11166921 14889228 16167564 17370766 22333842 26056149 29778456 32335128 34741532 44667684 52112298 69483064 78168447 89335368 104224596 156336894 208449192 312673788 625347576 79604016733 159208033466 238812050199 318416066932 477624100398 557228117131 636832133864 716436150597 955248200796 1114456234262 1432872301194 1671684351393 1910496401592 2228912468524 2865744602388 3343368702786 4457824937048 5015053054179 5731489204776 6686737405572 10030106108358 13373474811144 20060212216716 40120424433432