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239125887798144 = 2734120697340929
BaseRepresentation
bin110110010111101111010101…
…100110010100101110000000
31011100200012201021020101120020
4312113233111212110232000
5222320314304234020034
62204324525531413440
7101240163263301054
oct6627572546245600
91140605637211506
10239125887798144
116a2137a0732526
12229a0247bb4280
13a3576225175a9
144309a7cd61c64
151c9a32e36d249
hexd97bd5994b80

239125887798144 has 128 divisors (see below), whose sum is σ = 650984863284000. Its totient is φ = 77726920212480.

The previous prime is 239125887798101. The next prime is 239125887798157. The reversal of 239125887798144 is 441897788521932.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 239125887798144.

It is a congruent number.

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, 28903872 + ... + 36244800.

Almost surely, 2239125887798144 is an apocalyptic number.

239125887798144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 239125887798144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325492431642000).

239125887798144 is an abundant number, since it is smaller than the sum of its proper divisors (411858975485856).

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

239125887798144 is a wasteful number, since it uses less digits than its factorization.

239125887798144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7343056 (or 7343044 counting only the distinct ones).

The product of its digits is 1950842880, while the sum is 78.

The spelling of 239125887798144 in words is "two hundred thirty-nine trillion, one hundred twenty-five billion, eight hundred eighty-seven million, seven hundred ninety-eight thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 64 82 96 123 128 164 192 246 328 384 492 656 984 1312 1968 2069 2624 3936 4138 5248 6207 7872 8276 12414 15744 16552 24828 33104 49656 66208 84829 99312 132416 169658 198624 254487 264832 339316 397248 508974 678632 794496 1017948 1357264 2035896 2714528 4071792 5429056 7340929 8143584 10858112 14681858 16287168 22022787 29363716 32574336 44045574 58727432 88091148 117454864 176182296 234909728 300978089 352364592 469819456 601956178 704729184 902934267 939638912 1203912356 1409458368 1805868534 2407824712 2818916736 3611737068 4815649424 7223474136 9631298848 14446948272 15188382101 19262597696 28893896544 30376764202 38525195392 45565146303 57787793088 60753528404 91130292606 115575586176 121507056808 182260585212 243014113616 364521170424 486028227232 622723666141 729042340848 972056454464 1245447332282 1458084681696 1868170998423 1944112908928 2490894664564 2916169363392 3736341996846 4981789329128 5832338726784 7472683993692 9963578658256 14945367987384 19927157316512 29890735974768 39854314633024 59781471949536 79708629266048 119562943899072 239125887798144