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14910000654408 = 233173372321779
BaseRepresentation
bin1101100011111000000101…
…0010101110100001001000
31221210101022120200220210120
43120332001102232201020
53423241140131420113
651413320523143240
73066132500316666
oct330760122564110
957711276626716
1014910000654408
114829328737122
1218097a9074b20
13842012599332
1439790db07c36
151acc9b3b6a23
hexd8f814ae848

14910000654408 has 96 divisors (see below), whose sum is σ = 39585234016800. Its totient is φ = 4663752511488.

The previous prime is 14910000654401. The next prime is 14910000654443. The reversal of 14910000654408 is 80445600001941.

It is a Cunningham number, because it is equal to 38613472-1.

It is a self number, because there is not a number n which added to its sum of digits gives 14910000654408.

It is not an unprimeable number, because it can be changed into a prime (14910000654401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46175263 + ... + 46497041.

It is an arithmetic number, because the mean of its divisors is an integer number (412346187675).

Almost surely, 214910000654408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14910000654408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19792617008400).

14910000654408 is an abundant number, since it is smaller than the sum of its proper divisors (24675233362392).

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

14910000654408 is a wasteful number, since it uses less digits than its factorization.

14910000654408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322479 (or 322138 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The spelling of 14910000654408 in words is "fourteen trillion, nine hundred ten billion, six hundred fifty-four thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 204 337 408 674 1011 1348 2022 2696 4044 5729 8088 11458 17187 22916 34374 45832 68748 113569 137496 227138 321779 340707 454276 643558 681414 908552 965337 1287116 1362828 1930673 1930674 2574232 2725656 3861346 3861348 5470243 5792019 7722692 7722696 10940486 11584038 15445384 16410729 21880972 23168076 32821458 43761944 46336152 65642916 108439523 131285832 216879046 325318569 433758092 650637138 867516184 1301274276 1843471891 2602548552 3686943782 5530415673 7373887564 11060831346 14747775128 22121662692 36544119251 44243325384 73088238502 109632357753 146176477004 219264715506 292352954008 438529431012 621250027267 877058862024 1242500054534 1863750081801 2485000109068 3727500163602 4970000218136 7455000327204 14910000654408