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442826381130 = 23577328886261
BaseRepresentation
bin1100111000110101000…
…00100101011101001010
31120100000022221221111220
412130122200211131022
524223402023144010
6535233122102510
743664436064020
oct6343240453512
91510008857456
10442826381130
1116088aa47411
12719a57aaa36
13329b2126873
141760bca0710
15b7bb5cb970
hex671a82574a

442826381130 has 64 divisors (see below), whose sum is σ = 1231248031488. Its totient is φ = 99830914560.

The previous prime is 442826381113. The next prime is 442826381143. The reversal of 442826381130 is 31183628244.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14427801 + ... + 14458460.

It is an arithmetic number, because the mean of its divisors is an integer number (19238250492).

Almost surely, 2442826381130 is an apocalyptic number.

442826381130 is an abundant number, since it is smaller than the sum of its proper divisors (788421650358).

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

442826381130 is a wasteful number, since it uses less digits than its factorization.

442826381130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28886351.

The product of its (nonzero) digits is 221184, while the sum is 42.

The spelling of 442826381130 in words is "four hundred forty-two billion, eight hundred twenty-six million, three hundred eighty-one thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 73 105 146 210 219 365 438 511 730 1022 1095 1533 2190 2555 3066 5110 7665 15330 28886261 57772522 86658783 144431305 173317566 202203827 288862610 404407654 433293915 606611481 866587830 1011019135 1213222962 2022038270 2108697053 3033057405 4217394106 6066114810 6326091159 10543485265 12652182318 14760879371 21086970530 29521758742 31630455795 44282638113 63260911590 73804396855 88565276226 147608793710 221413190565 442826381130