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242047493376 = 2831325499511
BaseRepresentation
bin1110000101101100100…
…1111010010100000000
3212010202201001122212220
43201123021322110000
512431203124242001
6303110045451040
723326106514153
oct3413311722400
9763681048786
10242047493376
1193719555327
123aab1270a80
1319a95637280
14ba0258bc9a
156469aa0c36
hex385b27a500

242047493376 has 144 divisors (see below), whose sum is σ = 694098249600. Its totient is φ = 74439106560.

The previous prime is 242047493371. The next prime is 242047493377. The reversal of 242047493376 is 673394740242.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242047493371) 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, 25444461 + ... + 25453971.

Almost surely, 2242047493376 is an apocalyptic number.

242047493376 is a gapful number since it is divisible by the number (26) 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 242047493376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347049124800).

242047493376 is an abundant number, since it is smaller than the sum of its proper divisors (452050756224).

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

242047493376 is a wasteful number, since it uses less digits than its factorization.

242047493376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12092 (or 12078 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 51.

The spelling of 242047493376 in words is "two hundred forty-two billion, forty-seven million, four hundred ninety-three thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 256 312 384 416 624 768 832 1248 1664 2496 2549 3328 4992 5098 7647 9511 9984 10196 15294 19022 20392 28533 30588 33137 38044 40784 57066 61176 66274 76088 81568 99411 114132 122352 123643 132548 152176 163136 198822 228264 244704 247286 265096 304352 326272 370929 397644 456528 489408 494572 530192 608704 652544 741858 795288 913056 978816 989144 1060384 1217408 1483716 1590576 1826112 1957632 1978288 2120768 2434816 2967432 3181152 3652224 3956576 4241536 5934864 6362304 7304448 7913152 8483072 11869728 12724608 15826304 23739456 24243539 25449216 31652608 47478912 48487078 72730617 94957824 96974156 145461234 193948312 290922468 315166007 387896624 581844936 630332014 775793248 945498021 1163689872 1260664028 1551586496 1890996042 2327379744 2521328056 3103172992 3781992084 4654759488 5042656112 6206345984 7563984168 9309518976 10085312224 15127968336 18619037952 20170624448 30255936672 40341248896 60511873344 80682497792 121023746688 242047493376