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14366040104052 = 223271311969366383
BaseRepresentation
bin1101000100001101101010…
…1101111001110001110100
31212212101021000221212100100
43101003122231321301310
53340333122231312202
650315400120514100
73011624603036430
oct321033255716164
955771230855310
1014366040104052
11463967013157a
12174029991b930
138029339aa7b0
1437946a3119c0
1519da6121a41c
hexd10dab79c74

14366040104052 has 144 divisors (see below), whose sum is σ = 44698203164160. Its totient is φ = 3788518846464.

The previous prime is 14366040104051. The next prime is 14366040104057. The reversal of 14366040104052 is 25040104066341.

14366040104052 is a `hidden beast` number, since 1 + 4 + 3 + 6 + 604 + 0 + 1 + 0 + 40 + 5 + 2 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 14366040103998 and 14366040104016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14366040104051) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 39027253 + ... + 39393635.

It is an arithmetic number, because the mean of its divisors is an integer number (310404188640).

Almost surely, 214366040104052 is an apocalyptic number.

14366040104052 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

14366040104052 is an abundant number, since it is smaller than the sum of its proper divisors (30332163060108).

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

14366040104052 is a wasteful number, since it uses less digits than its factorization.

14366040104052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378382 (or 378377 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 14366040104052 in words is "fourteen trillion, three hundred sixty-six billion, forty million, one hundred four thousand, fifty-two".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 52 63 78 84 91 117 126 156 182 234 252 273 364 468 546 819 1092 1638 3276 11969 23938 35907 47876 71814 83783 107721 143628 155597 167566 215442 251349 311194 335132 366383 430884 466791 502698 622388 732766 754047 933582 1005396 1089179 1099149 1400373 1465532 1508094 1867164 2178358 2198298 2564681 2800746 3016188 3267537 3297447 4356716 4396596 4762979 5129362 5601492 6535074 6594894 7694043 9525958 9802611 10258724 13070148 13189788 14288937 15388086 19051916 19605222 23082129 28577874 30776172 33340853 39210444 42866811 46164258 57155748 66681706 85733622 92328516 100022559 133363412 171467244 200045118 300067677 400090236 600135354 1200270708 4385238127 8770476254 13155714381 17540952508 26311428762 30696666889 39467143143 52622857524 57008095651 61393333778 78934286286 92090000667 114016191302 122786667556 157868572572 171024286953 184180001334 228032382604 276270002001 342048573906 368360002668 399056669557 513072860859 552540004002 684097147812 798113339114 1026145721718 1105080008004 1197170008671 1596226678228 2052291443436 2394340017342 3591510026013 4788680034684 7183020052026 14366040104052