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240054455716656 = 24378361713951061
BaseRepresentation
bin110110100101010000001000…
…100011110100101100110000
31011110221222111202121002200120
4312211100020203310230300
5222431023011130413111
62210315254452450240
7101364235124336550
oct6645201043645460
91143858452532616
10240054455716656
116a541583055329
1222b101b3619980
13a3c4065766799
14433c9aa4cd160
151cb45798e3406
hexda54088f4b30

240054455716656 has 160 divisors (see below), whose sum is σ = 718433710299648. Its totient is φ = 67650810501120.

The previous prime is 240054455716651. The next prime is 240054455716693. The reversal of 240054455716656 is 656617554450042.

It is a happy number.

It is a super-2 number, since 2×2400544557166562 (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 240054455716656.

It is not an unprimeable number, because it can be changed into a prime (240054455716651) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10231366 + ... + 24182426.

Almost surely, 2240054455716656 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 240054455716656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359216855149824).

240054455716656 is an abundant number, since it is smaller than the sum of its proper divisors (478379254582992).

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

240054455716656 is a wasteful number, since it uses less digits than its factorization.

240054455716656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13951779 (or 13951773 counting only the distinct ones).

The product of its (nonzero) digits is 120960000, while the sum is 60.

The spelling of 240054455716656 in words is "two hundred forty trillion, fifty-four billion, four hundred fifty-five million, seven hundred sixteen thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 83 84 112 166 168 249 332 336 498 581 617 664 996 1162 1234 1328 1743 1851 1992 2324 2468 3486 3702 3984 4319 4648 4936 6972 7404 8638 9296 9872 12957 13944 14808 17276 25914 27888 29616 34552 51211 51828 69104 102422 103656 153633 204844 207312 307266 358477 409688 614532 716954 819376 1075431 1229064 1433908 2150862 2458128 2867816 4301724 5735632 8603448 13951061 17206896 27902122 41853183 55804244 83706366 97657427 111608488 167412732 195314854 223216976 292972281 334825464 390629708 585944562 669650928 781259416 1157938063 1171889124 1562518832 2315876126 2343778248 3473814189 4631752252 4687556496 6947628378 8105566441 8607804637 9263504504 13895256756 16211132882 17215609274 18527009008 24316699323 25823413911 27790513512 32422265764 34431218548 48633398646 51646827822 55581027024 60254632459 64844531528 68862437096 97266797292 103293655644 120509264918 129689063056 137724874192 180763897377 194533594584 206587311288 241018529836 361527794754 389067189168 413174622576 482037059672 714447784871 723055589508 964074119344 1428895569742 1446111179016 2143343354613 2857791139484 2892222358032 4286686709226 5001134494097 5715582278968 8573373418452 10002268988194 11431164557936 15003403482291 17146746836904 20004537976388 30006806964582 34293493673808 40009075952776 60013613929164 80018151905552 120027227858328 240054455716656