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413224541352 = 23327819889963
BaseRepresentation
bin1100000001101100001…
…10100001110010101000
31110111121022212200021200
412000312012201302220
523232240440310402
6513455512004200
741566042435110
oct6006606416250
91414538780250
10413224541352
1114a27a532017
1268104090660
132cc753aa83c
141600069c040
15ab3790121c
hex60361a1ca8

413224541352 has 48 divisors (see below), whose sum is σ = 1279028343840. Its totient is φ = 118064154528.

The previous prime is 413224541351. The next prime is 413224541377. The reversal of 413224541352 is 253145422314.

It is a happy number.

413224541352 is a `hidden beast` number, since 4 + 13 + 224 + 5 + 413 + 5 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (413224541351) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 409944478 + ... + 409945485.

It is an arithmetic number, because the mean of its divisors is an integer number (26646423830).

Almost surely, 2413224541352 is an apocalyptic number.

413224541352 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

413224541352 is an abundant number, since it is smaller than the sum of its proper divisors (865803802488).

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

413224541352 is a wasteful number, since it uses less digits than its factorization.

413224541352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 819889982 (or 819889975 counting only the distinct ones).

The product of its digits is 115200, while the sum is 36.

Adding to 413224541352 its reverse (253145422314), we get a palindrome (666369963666).

The spelling of 413224541352 in words is "four hundred thirteen billion, two hundred twenty-four million, five hundred forty-one thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 819889963 1639779926 2459669889 3279559852 4919339778 5739229741 6559119704 7379009667 9838679556 11478459482 14758019334 17217689223 19677359112 22956918964 29516038668 34435378446 45913837928 51653067669 59032077336 68870756892 103306135338 137741513784 206612270676 413224541352