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40945216405401 = 327113371187147703
BaseRepresentation
bin10010100111101010011010…
…00101000011111110011001
312100222022202112100111000100
421103311031011003332121
520331321300344433101
6223025550040130013
711424123426655050
oct1123651505037631
9170868675314010
1040945216405401
1112056850248550
12471355a166909
1319b016aa44229
14a17a8ab83397
154b012bb81e86
hex253d4d143f99

40945216405401 has 96 divisors (see below), whose sum is σ = 74018449410048. Its totient is φ = 21189116229120.

The previous prime is 40945216405399. The next prime is 40945216405411. The reversal of 40945216405401 is 10450461254904.

40945216405401 is a `hidden beast` number, since 4 + 0 + 9 + 4 + 52 + 16 + 40 + 540 + 1 = 666.

It is not a de Polignac number, because 40945216405401 - 21 = 40945216405399 is a prime.

It is not an unprimeable number, because it can be changed into a prime (40945216405411) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 277139316 + ... + 277287018.

It is an arithmetic number, because the mean of its divisors is an integer number (771025514688).

Almost surely, 240945216405401 is an apocalyptic number.

It is an amenable number.

40945216405401 is a deficient number, since it is larger than the sum of its proper divisors (33073233004647).

40945216405401 is a wasteful number, since it uses less digits than its factorization.

40945216405401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149251 (or 149248 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 40945216405401 in words is "forty trillion, nine hundred forty-five billion, two hundred sixteen million, four hundred five thousand, four hundred one".

Divisors: 1 3 7 9 11 21 33 63 77 99 231 337 693 1011 1187 2359 3033 3561 3707 7077 8309 10683 11121 13057 21231 24927 25949 33363 39171 74781 77847 91399 117513 147703 233541 274197 400019 443109 822591 1033921 1200057 1329327 1624733 2800133 3101763 3600171 4400209 4874199 8400399 9305289 11373131 13200627 14622597 25201197 30801463 34119393 39601881 49775911 92404389 102358179 149327733 175323461 277213167 348431377 447983199 525970383 547535021 1045294131 1227264227 1577911149 1642605063 1928558071 3135882393 3681792681 3832745147 4927815189 5785674213 11045378043 11498235441 13499906497 17357022639 34494706323 40499719491 59084006357 121499158473 177252019071 413588044499 531756057213 649924069927 1240764133497 1949772209781 3722292400491 4549468489489 5849316629343 13648405468467 40945216405401