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242115366464 = 267183897213
BaseRepresentation
bin1110000101111100110…
…0110100111001000000
3212010221102202222020222
43201133030310321000
512431323013211324
6303120512322212
723330562441656
oct3413714647100
9763842688228
10242115366464
11937538a3394
123ab0bb43368
1319aa670c96a
14ba0b5b8dd6
156470a0b55e
hex385f334e40

242115366464 has 112 divisors (see below), whose sum is σ = 498694008960. Its totient is φ = 116573614080.

The previous prime is 242115366457. The next prime is 242115366469. The reversal of 242115366464 is 464663511242.

It is not an unprimeable number, because it can be changed into a prime (242115366469) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33562922 + ... + 33570134.

It is an arithmetic number, because the mean of its divisors is an integer number (4452625080).

Almost surely, 2242115366464 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 242115366464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249347004480).

242115366464 is an abundant number, since it is smaller than the sum of its proper divisors (256578642496).

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

242115366464 is an equidigital number, since it uses as much as digits as its factorization.

242115366464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7468 (or 7458 counting only the distinct ones).

The product of its digits is 829440, while the sum is 44.

The spelling of 242115366464 in words is "two hundred forty-two billion, one hundred fifteen million, three hundred sixty-six thousand, four hundred sixty-four".

Divisors: 1 2 4 8 16 32 64 71 83 89 142 166 178 284 332 356 568 664 712 1136 1328 1424 2272 2656 2848 4544 5312 5696 5893 6319 7213 7387 11786 12638 14426 14774 23572 25276 28852 29548 47144 50552 57704 59096 94288 101104 115408 118192 188576 202208 230816 236384 377152 404416 461632 472768 512123 524477 598679 641957 1024246 1048954 1197358 1283914 2048492 2097908 2394716 2567828 4096984 4195816 4789432 5135656 8193968 8391632 9578864 10271312 16387936 16783264 19157728 20542624 32775872 33566528 38315456 41085248 42506209 45578947 53282431 85012418 91157894 106564862 170024836 182315788 213129724 340049672 364631576 426259448 680099344 729263152 852518896 1360198688 1458526304 1705037792 2720397376 2917052608 3410075584 3783052601 7566105202 15132210404 30264420808 60528841616 121057683232 242115366464