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413301130440 = 233511313106917
BaseRepresentation
bin1100000001110101010…
…10101100010011001000
31110111210122222210202120
412000322222230103020
523232420042133230
6513511245331240
741600662433652
oct6007252542310
91414718883676
10413301130440
1114a309793590
1268125866b20
132cc88215523
141600a9176d2
15ab3e4ce310
hex603aaac4c8

413301130440 has 64 divisors (see below), whose sum is σ = 1352621885760. Its totient is φ = 100194213120.

The previous prime is 413301130439. The next prime is 413301130481. The reversal of 413301130440 is 44031103314.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 413301130440.

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, 156552139 + ... + 156554778.

It is an arithmetic number, because the mean of its divisors is an integer number (21134716965).

Almost surely, 2413301130440 is an apocalyptic number.

413301130440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

413301130440 is an abundant number, since it is smaller than the sum of its proper divisors (939320755320).

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

413301130440 is a wasteful number, since it uses less digits than its factorization.

413301130440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313106942 (or 313106938 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 413301130440 its reverse (44031103314), we get a palindrome (457332233754).

The spelling of 413301130440 in words is "four hundred thirteen billion, three hundred one million, one hundred thirty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 313106917 626213834 939320751 1252427668 1565534585 1878641502 2504855336 3131069170 3444176087 3757283004 4696603755 6262138340 6888352174 7514566008 9393207510 10332528261 12524276680 13776704348 17220880435 18786415020 20665056522 27553408696 34441760870 37572830040 41330113044 51662641305 68883521740 82660226088 103325282610 137767043480 206650565220 413301130440