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239780938144 = 251119174120593
BaseRepresentation
bin1101111101010000001…
…1101100000110100000
3211220220202010201121211
43133110003230012200
512412032410010034
6302053121355504
723215665226336
oct3372403540640
9756822121554
10239780938144
11927660a7890
123a57a198b94
13197c3ba2027
14b869547b56
156385ad8d64
hex37d40ec1a0

239780938144 has 96 divisors (see below), whose sum is σ = 542426189760. Its totient is φ = 103190630400.

The previous prime is 239780938127. The next prime is 239780938211. The reversal of 239780938144 is 441839087932.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11633512 + ... + 11654104.

It is an arithmetic number, because the mean of its divisors is an integer number (5650272810).

Almost surely, 2239780938144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 239780938144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271213094880).

239780938144 is an abundant number, since it is smaller than the sum of its proper divisors (302645251616).

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

239780938144 is a wasteful number, since it uses less digits than its factorization.

239780938144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22374 (or 22366 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 58.

The spelling of 239780938144 in words is "two hundred thirty-nine billion, seven hundred eighty million, nine hundred thirty-eight thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 19 22 32 38 44 76 88 152 176 209 304 352 418 608 836 1672 1741 3344 3482 6688 6964 13928 19151 20593 27856 33079 38302 41186 55712 66158 76604 82372 132316 153208 164744 226523 264632 306416 329488 363869 391267 453046 529264 612832 658976 727738 782534 906092 1058528 1455476 1565068 1812184 2910952 3130136 3624368 4303937 5821904 6260272 7248736 8607874 11643808 12520544 17215748 34431496 35852413 68862992 71704826 137725984 143409652 286819304 394376543 573638608 681195847 788753086 1147277216 1362391694 1577506172 2724783388 3155012344 5449566776 6310024688 7493154317 10899133552 12620049376 14986308634 21798267104 29972617268 59945234536 119890469072 239780938144