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240677133133701 = 31122927116696653
BaseRepresentation
bin110110101110010100000011…
…000001101010011110000101
31011120011111202020000022010210
4312232110003001222132011
5223021223232040234301
62211513314254510033
7101460230503140225
oct6656240301523605
91146144666008123
10240677133133701
116a761665239a00
1222bb0a10b05319
13a43a9aa6a9354
144360b9a490085
151cc58705a0ad6
hexdae50306a785

240677133133701 has 144 divisors (see below), whose sum is σ = 370733261109120. Its totient is φ = 138747458572800.

The previous prime is 240677133133691. The next prime is 240677133133739. The reversal of 240677133133701 is 107331331776042.

It is not a de Polignac number, because 240677133133701 - 210 = 240677133132677 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (240677133133771) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 36175726891 + ... + 36175733543.

It is an arithmetic number, because the mean of its divisors is an integer number (2574536535480).

Almost surely, 2240677133133701 is an apocalyptic number.

It is an amenable number.

240677133133701 is a deficient number, since it is larger than the sum of its proper divisors (130056127975419).

240677133133701 is a wasteful number, since it uses less digits than its factorization.

240677133133701 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8476 (or 8436 counting only the distinct ones).

The product of its (nonzero) digits is 1333584, while the sum is 48.

The spelling of 240677133133701 in words is "two hundred forty trillion, six hundred seventy-seven billion, one hundred thirty-three million, one hundred thirty-three thousand, seven hundred one".

Divisors: 1 3 11 29 33 71 87 121 213 319 363 781 841 957 1669 2059 2343 2523 3509 5007 6177 6653 8591 9251 10527 18359 19959 22649 25773 27753 48401 55077 59711 67947 73183 101761 118499 145203 179133 192937 201949 219549 249139 305283 355497 472363 532411 578811 605847 656821 747417 805013 1303489 1403629 1417089 1597233 1970463 2122307 2415039 3436471 3910467 4210887 5195993 5595173 5856521 6366921 7225031 10309413 11103857 13698527 14338379 15439919 15587979 16785519 17569563 21675093 23345377 33311571 37801181 41095581 43015137 46319757 57155923 61546903 70036131 99657659 113403543 122142427 150683797 169839109 171467769 184640709 298972977 322011853 366427281 397257283 415812991 452051391 509517327 677015933 788373847 966035559 1096234249 1191771849 1247438973 1343566697 1657521767 2031047799 2365121541 3288702747 3542130383 4030700091 4369830113 4972565301 8672112317 9338343737 10626391149 12058576739 13109490339 22862841563 26016336951 28015031211 36175730217 38963434213 48068131243 68588524689 95393235487 102721781107 116890302639 144204393729 251491257193 286179706461 308165343321 663022405327 754473771579 1129939592177 1989067215981 2766403829123 3389818776531 7293246458597 8299211487369 21879739375791 80225711044567 240677133133701