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40141460433432 = 233291932137139837
BaseRepresentation
bin10010010000010001010010…
…11111010110101000011000
312021010111010101200121002210
421020020221133112220120
520230134202332332212
6221212422104155120
711312060544636321
oct1110105137265030
9167114111617083
1040141460433432
1111876996a24496
124603825a68aa0
1319524288a7547
149cabdda6b448
15499288c6e53c
hex2482297d6a18

40141460433432 has 128 divisors (see below), whose sum is σ = 104401596484800. Its totient is φ = 12846046445568.

The previous prime is 40141460433413. The next prime is 40141460433479. The reversal of 40141460433432 is 23433406414104.

It is a super-2 number, since 2×401414604334322 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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, 286989018 + ... + 287128854.

Almost surely, 240141460433432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40141460433432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52200798242400).

40141460433432 is an abundant number, since it is smaller than the sum of its proper divisors (64260136051368).

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

40141460433432 is a wasteful number, since it uses less digits than its factorization.

40141460433432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142205 (or 142201 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 39.

Adding to 40141460433432 its reverse (23433406414104), we get a palindrome (63574866847536).

The spelling of 40141460433432 in words is "forty trillion, one hundred forty-one billion, four hundred sixty million, four hundred thirty-three thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 24 29 58 87 116 174 193 232 348 386 579 696 772 1158 1544 2137 2316 4274 4632 5597 6411 8548 11194 12822 16791 17096 22388 25644 33582 44776 51288 61973 67164 123946 134328 139837 185919 247892 279674 371838 412441 419511 495784 559348 743676 824882 839022 1118696 1237323 1487352 1649764 1678044 2474646 3299528 3356088 4055273 4949292 8110546 9898584 11960789 12165819 16221092 23921578 24331638 26988541 32442184 35882367 47843156 48663276 53977082 71764734 80965623 95686312 97326552 107954164 143529468 161931246 215908328 287058936 298831669 323862492 597663338 647724984 782667689 896495007 1195326676 1565335378 1792990014 2348003067 2390653352 3130670756 3585980028 4696006134 6261341512 7171960056 8666118401 9392012268 17332236802 18784024536 25998355203 34664473604 51996710406 57674512117 69328947208 103993420812 115349024234 173023536351 207986841624 230698048468 346047072702 461396096936 692094145404 1384188290808 1672560851393 3345121702786 5017682554179 6690243405572 10035365108358 13380486811144 20070730216716 40141460433432