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413013413101545 = 3555873023191563
BaseRepresentation
bin101110111101000100010110…
…1110001100111111111101001
32000011100200210212212210200000
41131322020231301213333221
5413113302432223222140
64022223424224533213
7152665143253121244
oct13572105561477751
92004320725783600
10413013413101545
1110a665006505083
123a3a4924481209
131495bcc8055939
1473dbd54c1025b
1532b3660117a30
hex177a22dc67fe9

413013413101545 has 96 divisors (see below), whose sum is σ = 743918987814912. Its totient is φ = 219824677420992.

The previous prime is 413013413101543. The next prime is 413013413101591. The reversal of 413013413101545 is 545101314310314.

It is a happy number.

413013413101545 is a `hidden beast` number, since 4 + 1 + 3 + 0 + 1 + 3 + 4 + 1 + 3 + 101 + 545 = 666.

It is not a de Polignac number, because 413013413101545 - 21 = 413013413101543 is a prime.

It is not an unprimeable number, because it can be changed into a prime (413013413101543) 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, 2155922934 + ... + 2156114496.

It is an arithmetic number, because the mean of its divisors is an integer number (7749156123072).

Almost surely, 2413013413101545 is an apocalyptic number.

413013413101545 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

413013413101545 is a deficient number, since it is larger than the sum of its proper divisors (330905574713367).

413013413101545 is a wasteful number, since it uses less digits than its factorization.

413013413101545 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195193 (or 195181 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

Adding to 413013413101545 its reverse (545101314310314), we get a palindrome (958114727411859).

The spelling of 413013413101545 in words is "four hundred thirteen trillion, thirteen billion, four hundred thirteen million, one hundred one thousand, five hundred forty-five".

Divisors: 1 3 5 9 15 27 45 81 135 243 405 587 1215 1761 2935 3023 5283 8805 9069 15115 15849 26415 27207 45345 47547 79245 81621 136035 142641 191563 237735 244863 408105 574689 713205 734589 957815 1224315 1724067 1774501 2873445 3672945 5172201 5323503 8620335 8872505 15516603 15970509 25861005 26617515 46549809 47911527 77583015 79852545 112447481 143734581 232749045 239557635 337342443 431203743 562237405 579094949 718672905 1012027329 1686712215 1737284847 2156018715 2895474745 3036081987 5060136645 5211854541 8686424235 9108245961 15180409935 15635563623 26059272705 27324737883 45541229805 46906690869 78177818115 136623689415 140720072607 234533454345 339928735063 703600363035 1019786205189 1699643675315 3059358615567 5098931025945 9178075846701 15296793077835 27534227540103 45890379233505 82602682620309 137671137700515 413013413101545