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13730342724 = 223572288283
BaseRepresentation
bin11001100100110010…
…00110011101000100
31022102220001200100000
430302121012131010
5211104431431344
610150240521300
7664151662500
oct146231063504
938386050300
1013730342724
11590646978a
1227b2320230
1313aa7a6067
14943761300
15555619a69
hex332646744

13730342724 has 108 divisors (see below), whose sum is σ = 41869215024. Its totient is φ = 3922941456.

The previous prime is 13730342719. The next prime is 13730342789. The reversal of 13730342724 is 42724303731.

It is a tau number, because it is divible by the number of its divisors (108).

It is a super-2 number, since 2×137303427242 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 96514 + ... + 191769.

Almost surely, 213730342724 is an apocalyptic number.

13730342724 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

13730342724 is an abundant number, since it is smaller than the sum of its proper divisors (28138872300).

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

13730342724 is a wasteful number, since it uses less digits than its factorization.

13730342724 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288316 (or 288295 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 36.

The spelling of 13730342724 in words is "thirteen billion, seven hundred thirty million, three hundred forty-two thousand, seven hundred twenty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 81 84 98 108 126 147 162 189 196 243 252 294 324 378 441 486 567 588 756 882 972 1134 1323 1701 1764 2268 2646 3402 3969 5292 6804 7938 11907 15876 23814 47628 288283 576566 864849 1153132 1729698 2017981 2594547 3459396 4035962 5189094 6053943 7783641 8071924 10378188 12107886 14125867 15567282 18161829 23350923 24215772 28251734 31134564 36323658 42377601 46701846 54485487 56503468 70052769 72647316 84755202 93403692 108970974 127132803 140105538 163456461 169510404 217941948 254265606 280211076 326912922 381398409 490369383 508531212 653825844 762796818 980738766 1144195227 1525593636 1961477532 2288390454 3432585681 4576780908 6865171362 13730342724