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40457040432252 = 22323374219410251
BaseRepresentation
bin10010011001011101000111…
…00001100000110001111100
312022020122200201010120100020
421030232203201200301330
520300322004322313002
6222013412514532140
711343632114445033
oct1114564341406174
9168218621116306
1040457040432252
111198880967a474
124654a18b97050
13197610c466c62
149dc1ba05171a
154a25a910e2bc
hex24cba3860c7c

40457040432252 has 96 divisors (see below), whose sum is σ = 101406682320384. Its totient is φ = 12520902240000.

The previous prime is 40457040432247. The next prime is 40457040432269. The reversal of 40457040432252 is 25223404075404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 405874 + ... + 9004377.

It is an arithmetic number, because the mean of its divisors is an integer number (1056319607504).

Almost surely, 240457040432252 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 40457040432252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50703341160192).

40457040432252 is an abundant number, since it is smaller than the sum of its proper divisors (60949641888132).

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

40457040432252 is a wasteful number, since it uses less digits than its factorization.

40457040432252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9410739 (or 9410737 counting only the distinct ones).

The product of its (nonzero) digits is 1075200, while the sum is 42.

The spelling of 40457040432252 in words is "forty trillion, four hundred fifty-seven billion, forty million, four hundred thirty-two thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 12 23 37 46 69 74 92 111 138 148 222 276 421 444 842 851 1263 1684 1702 2526 2553 3404 5052 5106 9683 10212 15577 19366 29049 31154 38732 46731 58098 62308 93462 116196 186924 358271 716542 1074813 1433084 2149626 4299252 9410251 18820502 28230753 37641004 56461506 112923012 216435773 348179287 432871546 649307319 696358574 865743092 1044537861 1298614638 1392717148 2089075722 2597229276 3961715671 4178151444 7923431342 8008123601 11885147013 15846862684 16016247202 23770294026 24024370803 32032494404 47540588052 48048741606 91119460433 96097483212 146583479827 182238920866 273358381299 293166959654 364477841732 439750439481 546716762598 586333919308 879500878962 1093433525196 1759001757924 3371420036021 6742840072042 10114260108063 13485680144084 20228520216126 40457040432252