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13718056431330 = 23251911876758429
BaseRepresentation
bin1100011110011111101111…
…1000010110111011100010
31210120102200221100200021100
43013213323320112323202
53244224034421300310
645101553233535230
72614045140512016
oct307477370267342
953512627320240
1013718056431330
114409882254509
121656799414516
137867b7c53444
14355d59446546
1518bc88a42ec0
hexc79fbe16ee2

13718056431330 has 96 divisors (see below), whose sum is σ = 37575789451200. Its totient is φ = 3462694102656.

The previous prime is 13718056431281. The next prime is 13718056431347. The reversal of 13718056431330 is 3313465081731.

13718056431330 is a `hidden beast` number, since 1 + 3 + 7 + 1 + 80 + 564 + 3 + 1 + 3 + 3 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1349445 + ... + 5408984.

It is an arithmetic number, because the mean of its divisors is an integer number (391414473450).

Almost surely, 213718056431330 is an apocalyptic number.

13718056431330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13718056431330 is an abundant number, since it is smaller than the sum of its proper divisors (23857733019870).

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

13718056431330 is a wasteful number, since it uses less digits than its factorization.

13718056431330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6759648 (or 6759645 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 13718056431330 in words is "thirteen trillion, seven hundred eighteen billion, fifty-six million, four hundred thirty-one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 19 30 38 45 57 90 95 114 171 190 285 342 570 855 1187 1710 2374 3561 5935 7122 10683 11870 17805 21366 22553 35610 45106 53415 67659 106830 112765 135318 202977 225530 338295 405954 676590 1014885 2029770 6758429 13516858 20275287 33792145 40550574 60825861 67584290 101376435 121651722 128410151 202752870 256820302 304129305 385230453 608258610 642050755 770460906 1155691359 1284101510 1926152265 2311382718 3852304530 5778456795 8022255223 11556913590 16044510446 24066765669 40111276115 48133531338 72200297007 80222552230 120333828345 144400594014 152422849237 240667656690 304845698474 361001485035 457268547711 722002970070 762114246185 914537095422 1371805643133 1524228492370 2286342738555 2743611286266 4572685477110 6859028215665 13718056431330