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413008137406 = 2171271493731721
BaseRepresentation
bin1100000001010010011…
…01000000110010111110
31110111001020200012212201
412000221031000302332
523231320040344111
6513422221422114
741560504146604
oct6005115006276
91414036605781
10413008137406
1114a179365587
126806370a93a
132cc3c5cbb77
1415dbda49874
15ab239066c1
hex6029340cbe

413008137406 has 64 divisors (see below), whose sum is σ = 667728230400. Its totient is φ = 190907781120.

The previous prime is 413008137401. The next prime is 413008137431. The reversal of 413008137406 is 604731800314.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413008137401) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 239980626 + ... + 239982346.

It is an arithmetic number, because the mean of its divisors is an integer number (10433253600).

Almost surely, 2413008137406 is an apocalyptic number.

413008137406 is a deficient number, since it is larger than the sum of its proper divisors (254720092994).

413008137406 is a wasteful number, since it uses less digits than its factorization.

413008137406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2389.

The product of its (nonzero) digits is 48384, while the sum is 37.

The spelling of 413008137406 in words is "four hundred thirteen billion, eight million, one hundred thirty-seven thousand, four hundred six".

Divisors: 1 2 17 34 127 149 254 298 373 746 1721 2159 2533 3442 4318 5066 6341 12682 18923 29257 37846 47371 55577 58514 94742 111154 218567 256429 321691 437134 512858 641933 643382 805307 944809 1283866 1610614 1889618 3715639 4359293 7058279 7431278 8718586 10912861 14116558 21825722 32566483 65132966 81525491 95648017 119990743 163050982 191296034 239981486 553630211 1107260422 1385933347 1626016289 2771866694 3252032578 12147298159 24294596318 206504068703 413008137406