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242351244122544 = 243215672119150683
BaseRepresentation
bin110111000110101011001011…
…110100010001100110110000
31011210002112220220012002111200
4313012223023310101212300
5223231140321443410134
62215234342523211200
7102022204516561164
oct6706531364214660
91153075826162450
10242351244122544
11702476492501a7
1223221365376b00
13a52c81665b8bb
1443bbc11758ca4
151d041a3141499
hexdc6acbd119b0

242351244122544 has 120 divisors (see below), whose sum is σ = 678725134144512. Its totient is φ = 80726792365440.

The previous prime is 242351244122527. The next prime is 242351244122593. The reversal of 242351244122544 is 445221442153242.

242351244122544 is a `hidden beast` number, since 2 + 4 + 2 + 3 + 51 + 2 + 44 + 12 + 2 + 544 = 666.

242351244122544 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 242351244122544.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4781681427 + ... + 4781732109.

Almost surely, 2242351244122544 is an apocalyptic number.

242351244122544 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

242351244122544 is an abundant number, since it is smaller than the sum of its proper divisors (436373890021968).

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

242351244122544 is a wasteful number, since it uses less digits than its factorization.

242351244122544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73455 (or 73446 counting only the distinct ones).

The product of its digits is 2457600, while the sum is 45.

Adding to 242351244122544 its reverse (445221442153242), we get a palindrome (687572686275786).

The spelling of 242351244122544 in words is "two hundred forty-two trillion, three hundred fifty-one billion, two hundred forty-four million, one hundred twenty-two thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 1567 3134 4701 6268 9402 12536 14103 18804 21191 25072 28206 37608 42382 50683 56412 63573 75216 84764 101366 112824 127146 152049 169528 190719 202732 225648 254292 304098 339056 381438 405464 456147 508584 608196 762876 810928 912294 1017168 1216392 1525752 1824588 2432784 3051504 3649176 7298352 33206297 66412594 79420261 99618891 132825188 158840522 199237782 238260783 265650376 298856673 317681044 398475564 476521566 531300752 597713346 635362088 714782349 796951128 953043132 1074023453 1195426692 1270724176 1429564698 1593902256 1906086264 2148046906 2390853384 2859129396 3222070359 3812172528 4296093812 4781706768 5718258792 6444140718 8592187624 9666211077 11436517584 12888281436 17184375248 19332422154 25776562872 38664844308 51553125744 77329688616 154659377232 1682994750851 3365989501702 5048984252553 6731979003404 10097968505106 13463958006808 15146952757659 20195937010212 26927916013616 30293905515318 40391874020424 60587811030636 80783748040848 121175622061272 242351244122544