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14522140023072 = 25311109312581909
BaseRepresentation
bin1101001101010011001011…
…1111110101100100100000
31220102022011220111101000120
43103110302333311210200
53400412320321214242
650515213511520240
73026122111333233
oct323246277654440
956368156441016
1014522140023072
1146998944a7110
1217665a3389080
1381457cc3b696
14382c37c8141a
151a2b4a5bd1ec
hexd3532ff5920

14522140023072 has 96 divisors (see below), whose sum is σ = 41624179248960. Its totient is φ = 4396621931520.

The previous prime is 14522140023043. The next prime is 14522140023089. The reversal of 14522140023072 is 27032004122541.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5136747 + ... + 7445162.

It is an arithmetic number, because the mean of its divisors is an integer number (433585200510).

Almost surely, 214522140023072 is an apocalyptic number.

14522140023072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

14522140023072 is an abundant number, since it is smaller than the sum of its proper divisors (27102039225888).

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

14522140023072 is a wasteful number, since it uses less digits than its factorization.

14522140023072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12583026 (or 12583018 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 33.

The spelling of 14522140023072 in words is "fourteen trillion, five hundred twenty-two billion, one hundred forty million, twenty-three thousand, seventy-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 1093 2186 3279 4372 6558 8744 12023 13116 17488 24046 26232 34976 36069 48092 52464 72138 96184 104928 144276 192368 288552 384736 577104 1154208 12581909 25163818 37745727 50327636 75491454 100655272 138400999 150982908 201310544 276801998 301965816 402621088 415202997 553603996 603931632 830405994 1107207992 1207863264 1660811988 2214415984 3321623976 4428831968 6643247952 13286495904 13752026537 27504053074 41256079611 55008106148 82512159222 110016212296 151272291907 165024318444 220032424592 302544583814 330048636888 440064849184 453816875721 605089167628 660097273776 907633751442 1210178335256 1320194547552 1815267502884 2420356670512 3630535005768 4840713341024 7261070011536 14522140023072