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40504151202345 = 3358334631043843
BaseRepresentation
bin10010011010110100110111…
…00010110101101000101001
312022102011021221100122122000
421031122123202311220221
520302110000201433340
6222051203350121213
711350220424415005
oct1115323342655051
9168364257318560
1040504151202345
11119a679445a306
124661b86350209
13197a6a976718c
14a005a8b71705
154a3914ee0d30
hex24d69b8b5a29

40504151202345 has 64 divisors (see below), whose sum is σ = 72896052418560. Its totient is φ = 21335763047616.

The previous prime is 40504151202337. The next prime is 40504151202349. The reversal of 40504151202345 is 54320215140504.

40504151202345 is a `hidden beast` number, since 4 + 0 + 5 + 0 + 415 + 1 + 2 + 0 + 234 + 5 = 666.

40504151202345 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 40504151202345 - 23 = 40504151202337 is a prime.

It is not an unprimeable number, because it can be changed into a prime (40504151202349) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 38280994 + ... + 39324836.

It is an arithmetic number, because the mean of its divisors is an integer number (1139000819040).

Almost surely, 240504151202345 is an apocalyptic number.

40504151202345 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

40504151202345 is a deficient number, since it is larger than the sum of its proper divisors (32391901216215).

40504151202345 is a wasteful number, since it uses less digits than its factorization.

40504151202345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1047403 (or 1047397 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

Adding to 40504151202345 its reverse (54320215140504), we get a palindrome (94824366342849).

The spelling of 40504151202345 in words is "forty trillion, five hundred four billion, one hundred fifty-one million, two hundred two thousand, three hundred forty-five".

Divisors: 1 3 5 9 15 27 45 83 135 249 415 747 1245 2241 3463 3735 10389 11205 17315 31167 51945 93501 155835 287429 467505 862287 1043843 1437145 2586861 3131529 4311435 5219215 7760583 9394587 12934305 15657645 28183761 38802915 46972935 86638969 140918805 259916907 433194845 779750721 1299584535 2339252163 3614828309 3898753605 10844484927 11696260815 18074141545 32533454781 54222424635 97600364343 162667273905 300030749647 488001821715 900092248941 1500153748235 2700276746823 4500461244705 8100830240469 13501383734115 40504151202345