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40455155332332 = 223213454719010917
BaseRepresentation
bin10010011001011001100110…
…01010011011010011101100
312022020110211022222120101200
421030230303022123103230
520300304124231113312
6222012501454405500
711343534314403636
oct1114546312332354
9168213738876350
1040455155332332
1111987a31580a54
124654591800890
131975b9ba4c410
149dc07b945a56
154a24e88960dc
hex24cb3329b4ec

40455155332332 has 72 divisors (see below), whose sum is σ = 110152148551536. Its totient is φ = 12445001875584.

The previous prime is 40455155332303. The next prime is 40455155332399. The reversal of 40455155332332 is 23323355155404.

40455155332332 is a `hidden beast` number, since 4 + 0 + 4 + 55 + 15 + 533 + 23 + 32 = 666.

40455155332332 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×404551553323322 (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7377463 + ... + 11633454.

Almost surely, 240455155332332 is an apocalyptic number.

It is an amenable number.

40455155332332 is an abundant number, since it is smaller than the sum of its proper divisors (69696993219204).

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

40455155332332 is a wasteful number, since it uses less digits than its factorization.

40455155332332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19015487 (or 19015482 counting only the distinct ones).

The product of its (nonzero) digits is 3240000, while the sum is 45.

The spelling of 40455155332332 in words is "forty trillion, four hundred fifty-five billion, one hundred fifty-five million, three hundred thirty-two thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 4547 9094 13641 18188 27282 40923 54564 59111 81846 118222 163692 177333 236444 354666 531999 709332 1063998 2127996 19010917 38021834 57032751 76043668 114065502 171098253 228131004 247141921 342196506 494283842 684393012 741425763 988567684 1482851526 2224277289 2965703052 4448554578 8897109156 86442639599 172885279198 259327918797 345770558396 518655837594 777983756391 1037311675188 1123754314787 1555967512782 2247508629574 3111935025564 3371262944361 4495017259148 6742525888722 10113788833083 13485051777444 20227577666166 40455155332332