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42968314016144 = 24111947273390983
BaseRepresentation
bin10011100010100010101110…
…00101111111000110010000
312122010201201200102112022222
421301101113011333012100
521112443101342004034
6231215212043120212
712023233606634126
oct1161212705770620
9178121650375288
1042968314016144
111276683a098130
12499b669513068
131ac8b8265289a
14a8796b08d916
154e7a8780112e
hex27145717f190

42968314016144 has 80 divisors (see below), whose sum is σ = 97633388206080. Its totient is φ = 18109418647680.

The previous prime is 42968314016119. The next prime is 42968314016161. The reversal of 42968314016144 is 44161041386924.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 136538324 + ... + 136852659.

It is an arithmetic number, because the mean of its divisors is an integer number (1220417352576).

Almost surely, 242968314016144 is an apocalyptic number.

42968314016144 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42968314016144 is an abundant number, since it is smaller than the sum of its proper divisors (54665074189936).

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

42968314016144 is a wasteful number, since it uses less digits than its factorization.

42968314016144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273391068 (or 273391062 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 53.

The spelling of 42968314016144 in words is "forty-two trillion, nine hundred sixty-eight billion, three hundred fourteen million, sixteen thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 19 22 38 44 47 76 88 94 152 176 188 209 304 376 418 517 752 836 893 1034 1672 1786 2068 3344 3572 4136 7144 8272 9823 14288 19646 39292 78584 157168 273390983 546781966 1093563932 2187127864 3007300813 4374255728 5194428677 6014601626 10388857354 12029203252 12849376201 20777714708 24058406504 25698752402 41555429416 48116813008 51397504804 57138715447 83110858832 102795009608 114277430894 141343138211 205590019216 228554861788 244138147819 282686276422 457109723576 488276295638 565372552844 914219447152 976552591276 1130745105688 1953105182552 2261490211376 2685519626009 3906210365104 5371039252018 10742078504036 21484157008072 42968314016144