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13950944143272 = 233471303228659
BaseRepresentation
bin1100101100000011010100…
…0100011110011110101000
31211101200211021200020020000
43023000311010132132220
53312033013200041042
645400550353503000
72636631254426103
oct313006504363650
954350737606200
1013950944143272
1144996202a5434
121693952b71a60
137a27509952a6
1436332d2a973a
15192d693a474c
hexcb03511e7a8

13950944143272 has 80 divisors (see below), whose sum is σ = 39625921288800. Its totient is φ = 4584817308960.

The previous prime is 13950944143247. The next prime is 13950944143307. The reversal of 13950944143272 is 27234144905931.

13950944143272 is a `hidden beast` number, since 1 + 3 + 9 + 50 + 94 + 4 + 1 + 432 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 151568322 + ... + 151660337.

It is an arithmetic number, because the mean of its divisors is an integer number (495324016110).

Almost surely, 213950944143272 is an apocalyptic number.

13950944143272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13950944143272 is an abundant number, since it is smaller than the sum of its proper divisors (25674977145528).

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

13950944143272 is a wasteful number, since it uses less digits than its factorization.

13950944143272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303228748 (or 303228735 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 13950944143272 in words is "thirteen trillion, nine hundred fifty billion, nine hundred forty-four million, one hundred forty-three thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 71 72 81 108 142 162 213 216 284 324 426 568 639 648 852 1278 1704 1917 2556 3834 5112 5751 7668 11502 15336 23004 46008 303228659 606457318 909685977 1212914636 1819371954 2425829272 2729057931 3638743908 5458115862 7277487816 8187173793 10916231724 16374347586 21529234789 21832463448 24561521379 32748695172 43058469578 49123042758 64587704367 65497390344 86116939156 98246085516 129175408734 172233878312 193763113101 196492171032 258350817468 387526226202 516701634936 581289339303 775052452404 1162578678606 1550104904808 1743868017909 2325157357212 3487736035818 4650314714424 6975472071636 13950944143272