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14113524991464 = 23332326910560917
BaseRepresentation
bin1100110101100000111110…
…1001001100010111101000
31211222020110211020001101000
43031120033221030113220
53322213444344211324
650003355221355000
72654445210016053
oct315301751142750
954866424201330
1014113524991464
11455156aa11a88
1216bb366b68a60
137b4b9082a802
1436b153877a9a
151971d26dc9c9
hexcd60fa4c5e8

14113524991464 has 128 divisors (see below), whose sum is σ = 41060849184000. Its totient is φ = 4483235572992.

The previous prime is 14113524991457. The next prime is 14113524991507. The reversal of 14113524991464 is 46419942531141.

14113524991464 is a `hidden beast` number, since 1 + 4 + 1 + 1 + 3 + 5 + 2 + 499 + 146 + 4 = 666.

14113524991464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 14113524991464.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3944067 + ... + 6616850.

It is an arithmetic number, because the mean of its divisors is an integer number (320787884250).

Almost surely, 214113524991464 is an apocalyptic number.

It is an amenable number.

14113524991464 is an abundant number, since it is smaller than the sum of its proper divisors (26947324192536).

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

14113524991464 is a wasteful number, since it uses less digits than its factorization.

14113524991464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10561224 (or 10561214 counting only the distinct ones).

The product of its digits is 3732480, while the sum is 54.

The spelling of 14113524991464 in words is "fourteen trillion, one hundred thirteen billion, five hundred twenty-four million, nine hundred ninety-one thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 27 36 46 54 69 72 92 108 138 184 207 216 269 276 414 538 552 621 807 828 1076 1242 1614 1656 2152 2421 2484 3228 4842 4968 6187 6456 7263 9684 12374 14526 18561 19368 24748 29052 37122 49496 55683 58104 74244 111366 148488 167049 222732 334098 445464 668196 1336392 10560917 21121834 31682751 42243668 63365502 84487336 95048253 126731004 190096506 242901091 253462008 285144759 380193012 485802182 570289518 728703273 760386024 971604364 1140579036 1457406546 1943208728 2186109819 2281158072 2840886673 2914813092 4372219638 5681773346 5829626184 6558329457 8522660019 8744439276 11363546692 13116658914 17045320038 17488878552 22727093384 25567980057 26233317828 34090640076 51135960114 52466635656 65340393479 68181280152 76703940171 102271920228 130680786958 153407880342 196021180437 204543840456 261361573916 306815760684 392042360874 522723147832 588063541311 613631521368 784084721748 1176127082622 1568169443496 1764190623933 2352254165244 3528381247866 4704508330488 7056762495732 14113524991464