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413404421100 = 2235211125274067
BaseRepresentation
bin1100000010000001101…
…00101101101111101100
31110112001212100111220120
412001000310231233230
523233123012433400
6513525415244540
741603355412626
oct6010064555754
91415055314816
10413404421100
1114a362022370
1268154379750
132cca373ba68
141601a523c16
15ab485d3ca0
hex6040d2dbec

413404421100 has 72 divisors (see below), whose sum is σ = 1304854692288. Its totient is φ = 100219252800.

The previous prime is 413404421093. The next prime is 413404421107. The reversal of 413404421100 is 1124404314.

It is an interprime number because it is at equal distance from previous prime (413404421093) and next prime (413404421107).

It is a super-2 number, since 2×4134044211002 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (413404421107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62633734 + ... + 62640333.

Almost surely, 2413404421100 is an apocalyptic number.

It is an amenable number.

413404421100 is an abundant number, since it is smaller than the sum of its proper divisors (891450271188).

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

413404421100 is a wasteful number, since it uses less digits than its factorization.

413404421100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125274095 (or 125274088 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 413404421100 its reverse (1124404314), we get a palindrome (414528825414).

The spelling of 413404421100 in words is "four hundred thirteen billion, four hundred four million, four hundred twenty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 660 825 1100 1650 3300 125274067 250548134 375822201 501096268 626370335 751644402 1252740670 1378014737 1503288804 1879111005 2505481340 2756029474 3131851675 3758222010 4134044211 5512058948 6263703350 6890073685 7516444020 8268088422 9395555025 12527406700 13780147370 16536176844 18791110050 20670221055 27560294740 34450368425 37582220100 41340442110 68900736850 82680884220 103351105275 137801473700 206702210550 413404421100