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414236704004 = 222941537692137
BaseRepresentation
bin1100000011100100110…
…11100111110100000100
31110121012212102212102022
412001302123213310010
523241324044012004
6514144150102312
741633112613454
oct6016233476404
91417185385368
10414236704004
1114a749902882
126834704a998
13300a6cb5a56
1416098c93d64
15ab966d62be
hex60726e7d04

414236704004 has 96 divisors (see below), whose sum is σ = 784080712800. Its totient is φ = 191079383040.

The previous prime is 414236703989. The next prime is 414236704009. The reversal of 414236704004 is 400407632414.

It can be written as a sum of positive squares in 16 ways, for example, as 249480270400 + 164756433604 = 499480^2 + 405902^2 .

It is not an unprimeable number, because it can be changed into a prime (414236704009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 193839224 + ... + 193841360.

It is an arithmetic number, because the mean of its divisors is an integer number (8167507425).

Almost surely, 2414236704004 is an apocalyptic number.

It is an amenable number.

414236704004 is a deficient number, since it is larger than the sum of its proper divisors (369844008796).

414236704004 is a wasteful number, since it uses less digits than its factorization.

414236704004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3033 (or 3031 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 35.

The spelling of 414236704004 in words is "four hundred fourteen billion, two hundred thirty-six million, seven hundred four thousand, four".

Divisors: 1 2 4 29 41 53 58 82 106 116 164 212 769 1189 1537 1538 2137 2173 2378 3074 3076 4274 4346 4756 6148 8548 8692 22301 31529 40757 44602 61973 63017 63058 81514 87617 89204 113261 123946 126034 126116 163028 175234 226522 247892 252068 350468 453044 914341 1181953 1643353 1671037 1828682 2363906 2540893 3284569 3286706 3342074 3657364 4643701 4727812 5081786 6569138 6573412 6684148 9287402 10163572 13138276 18574804 47657237 48460073 67377473 87097709 95314474 96920146 134667329 134754946 174195418 190628948 193840292 269334658 269509892 348390836 538669316 1953946717 2525833561 3571006069 3907893434 5051667122 7142012138 7815786868 10103334244 14284024276 103559176001 207118352002 414236704004