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14187988332 = 223271910129339
BaseRepresentation
bin11010011011010101…
…11000010101101100
31100121210012111002100
431031222320111230
5213024111111312
610303505455100
71011406624320
oct151552702554
940553174070
1014187988332
1160208276a1
1228bb641490
13145154ba8b
1498844d980
155808b85dc
hex34dab856c

14187988332 has 144 divisors (see below), whose sum is σ = 43573420800. Its totient is φ = 3802204800.

The previous prime is 14187988307. The next prime is 14187988343. The reversal of 14187988332 is 23388978141.

It is a happy number.

14187988332 is a `hidden beast` number, since 141 + 87 + 98 + 8 + 332 = 666.

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, 468919 + ... + 498257.

It is an arithmetic number, because the mean of its divisors is an integer number (302593200).

Almost surely, 214187988332 is an apocalyptic number.

14187988332 is a gapful number since it is divisible by the number (12) 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 14187988332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21786710400).

14187988332 is an abundant number, since it is smaller than the sum of its proper divisors (29385432468).

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

14187988332 is a wasteful number, since it uses less digits than its factorization.

14187988332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29476 (or 29471 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 54.

The spelling of 14187988332 in words is "fourteen billion, one hundred eighty-seven million, nine hundred eighty-eight thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 28 36 38 42 57 63 76 84 101 114 126 133 171 202 228 252 266 303 342 399 404 532 606 684 707 798 909 1197 1212 1414 1596 1818 1919 2121 2394 2828 3636 3838 4242 4788 5757 6363 7676 8484 11514 12726 13433 17271 23028 25452 26866 29339 34542 40299 53732 58678 69084 80598 88017 117356 120897 161196 176034 205373 241794 264051 352068 410746 483588 528102 557441 616119 821492 1056204 1114882 1232238 1672323 1848357 2229764 2464476 2963239 3344646 3696714 3902087 5016969 5926478 6689292 7393428 7804174 8889717 10033938 11706261 11852956 15608348 17779434 20067876 20742673 23412522 26669151 35118783 35558868 41485346 46825044 53338302 56301541 62228019 70237566 82970692 106676604 112603082 124456038 140475132 168904623 186684057 225206164 248912076 337809246 373368114 394110787 506713869 675618492 746736228 788221574 1013427738 1182332361 1576443148 2026855476 2364664722 3546997083 4729329444 7093994166 14187988332