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422031114400 = 2552775362699
BaseRepresentation
bin1100010010000110000…
…00111100000010100000
31111100100001222221101211
412021003000330002200
523403304431130100
6521513423235504
742330216166150
oct6110300740240
91440301887354
10422031114400
11152a8961a765
1269961448b94
1330a49a655cc
14165d8122760
15aea0b211ba
hex624303c0a0

422031114400 has 72 divisors (see below), whose sum is σ = 1177466824800. Its totient is φ = 144696380160.

The previous prime is 422031114391. The next prime is 422031114433. The reversal of 422031114400 is 4411130224.

It is a happy number.

It is a super-2 number, since 2×4220311144002 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37675750 + ... + 37686949.

It is an arithmetic number, because the mean of its divisors is an integer number (16353705900).

Almost surely, 2422031114400 is an apocalyptic number.

422031114400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

422031114400 is an abundant number, since it is smaller than the sum of its proper divisors (755435710400).

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

422031114400 is a wasteful number, since it uses less digits than its factorization.

422031114400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75362726 (or 75362713 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 422031114400 its reverse (4411130224), we get a palindrome (426442244624).

The spelling of 422031114400 in words is "four hundred twenty-two billion, thirty-one million, one hundred fourteen thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 70 80 100 112 140 160 175 200 224 280 350 400 560 700 800 1120 1400 2800 5600 75362699 150725398 301450796 376813495 527538893 602901592 753626990 1055077786 1205803184 1507253980 1884067475 2110155572 2411606368 2637694465 3014507960 3768134950 4220311144 5275388930 6029015920 7536269900 8440622288 10550777860 12058031840 13188472325 15072539800 16881244576 21101555720 26376944650 30145079600 42203111440 52753889300 60290159200 84406222880 105507778600 211015557200 422031114400