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413515304040 = 23359587359441
BaseRepresentation
bin1100000010001110110…
…11101100110001101000
31110112100120222221201010
412001013123230301220
523233334404212130
6513544420023520
741606203042536
oct6010733546150
91415316887633
10413515304040
1114a409677363
1268185531ba0
132ccc06c2c77
141602b149156
15ab531d80b0
hex60476ecc68

413515304040 has 64 divisors (see below), whose sum is σ = 1240678762560. Its totient is φ = 110258938880.

The previous prime is 413515304039. The next prime is 413515304077. The reversal of 413515304040 is 40403515314.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 413515303989 and 413515304007.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 970720 + ... + 1330160.

It is an arithmetic number, because the mean of its divisors is an integer number (19385605665).

Almost surely, 2413515304040 is an apocalyptic number.

413515304040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

413515304040 is an abundant number, since it is smaller than the sum of its proper divisors (827163458520).

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

413515304040 is a wasteful number, since it uses less digits than its factorization.

413515304040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369042 (or 369038 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 413515304040 its reverse (40403515314), we get a palindrome (453918819354).

The spelling of 413515304040 in words is "four hundred thirteen billion, five hundred fifteen million, three hundred four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 9587 19174 28761 38348 47935 57522 76696 95870 115044 143805 191740 230088 287610 359441 383480 575220 718882 1078323 1150440 1437764 1797205 2156646 2875528 3594410 4313292 5391615 7188820 8626584 10783230 14377640 21566460 43132920 3445960867 6891921734 10337882601 13783843468 17229804335 20675765202 27567686936 34459608670 41351530404 51689413005 68919217340 82703060808 103378826010 137838434680 206757652020 413515304040