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413331022416 = 24313719329429
BaseRepresentation
bin1100000001111000111…
…00101110001001010000
31110111212202020110211210
412000330130232021100
523233000220204131
6513514234140120
741601504502404
oct6007434561120
91414782213753
10413331022416
1114a32464a8a4
1268133881640
132cc914802a0
1416010899104
15ab41e36146
hex603c72e250

413331022416 has 80 divisors (see below), whose sum is σ = 1166104114560. Its totient is φ = 125387512320.

The previous prime is 413331022411. The next prime is 413331022451. The reversal of 413331022416 is 614220133314.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413331022411) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4620411 + ... + 4709018.

It is an arithmetic number, because the mean of its divisors is an integer number (14576301432).

Almost surely, 2413331022416 is an apocalyptic number.

It is an amenable number.

413331022416 is an abundant number, since it is smaller than the sum of its proper divisors (752773092144).

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

413331022416 is a wasteful number, since it uses less digits than its factorization.

413331022416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9329524 (or 9329518 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The spelling of 413331022416 in words is "four hundred thirteen billion, three hundred thirty-one million, twenty-two thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 71 78 104 142 156 208 213 284 312 426 568 624 852 923 1136 1704 1846 2769 3408 3692 5538 7384 11076 14768 22152 44304 9329429 18658858 27988287 37317716 55976574 74635432 111953148 121282577 149270864 223906296 242565154 363847731 447812592 485130308 662389459 727695462 970260616 1324778918 1455390924 1940521232 1987168377 2649557836 2910781848 3974336754 5299115672 5821563696 7948673508 8611062967 10598231344 15897347016 17222125934 25833188901 31794694032 34444251868 51666377802 68888503736 103332755604 137777007472 206665511208 413331022416