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14060758272 = 283118918701
BaseRepresentation
bin11010001100001011…
…00010010100000000
31100021220210112020220
431012011202110000
5212244023231042
610243122503040
71005303321231
oct150605422400
940256715226
1014060758272
115a65a27890
122884b04a80
131431093012
149755b1088
155746358ec
hex346162500

14060758272 has 144 divisors (see below), whose sum is σ = 41285039040. Its totient is φ = 4212736000.

The previous prime is 14060758223. The next prime is 14060758273. The reversal of 14060758272 is 27285706041.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14060758273) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 742522 + ... + 761222.

It is an arithmetic number, because the mean of its divisors is an integer number (286701660).

Almost surely, 214060758272 is an apocalyptic number.

14060758272 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 14060758272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20642519520).

14060758272 is an abundant number, since it is smaller than the sum of its proper divisors (27224280768).

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

14060758272 is a wasteful number, since it uses less digits than its factorization.

14060758272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18820 (or 18806 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 42.

The spelling of 14060758272 in words is "fourteen billion, sixty million, seven hundred fifty-eight thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 89 96 128 132 176 178 192 256 264 267 352 356 384 528 534 704 712 768 979 1056 1068 1408 1424 1958 2112 2136 2816 2848 2937 3916 4224 4272 5696 5874 7832 8448 8544 11392 11748 15664 17088 18701 22784 23496 31328 34176 37402 46992 56103 62656 68352 74804 93984 112206 125312 149608 187968 205711 224412 250624 299216 375936 411422 448824 598432 617133 751872 822844 897648 1196864 1234266 1645688 1664389 1795296 2393728 2468532 3291376 3328778 3590592 4787456 4937064 4993167 6582752 6657556 7181184 9874128 9986334 13165504 13315112 14362368 18308279 19748256 19972668 26331008 26630224 36616558 39496512 39945336 52662016 53260448 54924837 73233116 78993024 79890672 106520896 109849674 146466232 157986048 159781344 213041792 219699348 292932464 319562688 426083584 439398696 585864928 639125376 878797392 1171729856 1278250752 1757594784 2343459712 3515189568 4686919424 7030379136 14060758272