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14457681402144 = 253316654173009
BaseRepresentation
bin1101001001100011000011…
…1101101101100100100000
31220012010210200020011011220
43102120300331231210200
53343333312414332034
650425433411535040
73021350552155551
oct322306075554440
956163720204156
1014457681402144
114674517271172
121755bb42ba480
1380b479865176
1437da811b4328
151a1126702749
hexd2630f6d920

14457681402144 has 96 divisors (see below), whose sum is σ = 39176778170880. Its totient is φ = 4663634227200.

The previous prime is 14457681402137. The next prime is 14457681402149. The reversal of 14457681402144 is 44120418675441.

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

It is not an unprimeable number, because it can be changed into a prime (14457681402149) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 197989512 + ... + 198062520.

It is an arithmetic number, because the mean of its divisors is an integer number (408091439280).

Almost surely, 214457681402144 is an apocalyptic number.

It is an amenable number.

14457681402144 is an abundant number, since it is smaller than the sum of its proper divisors (24719096768736).

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

14457681402144 is a wasteful number, since it uses less digits than its factorization.

14457681402144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139594 (or 139586 counting only the distinct ones).

The product of its (nonzero) digits is 3440640, while the sum is 51.

The spelling of 14457681402144 in words is "fourteen trillion, four hundred fifty-seven billion, six hundred eighty-one million, four hundred two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 186 248 372 496 744 992 1488 2976 66541 73009 133082 146018 199623 219027 266164 292036 399246 438054 532328 584072 798492 876108 1064656 1168144 1596984 1752216 2062771 2129312 2263279 2336288 3193968 3504432 4125542 4526558 6188313 6387936 6789837 7008864 8251084 9053116 12376626 13579674 16502168 18106232 24753252 27159348 33004336 36212464 49506504 54318696 66008672 72424928 99013008 108637392 198026016 217274784 4858091869 9716183738 14574275607 19432367476 29148551214 38864734952 58297102428 77729469904 116594204856 150600847939 155458939808 233188409712 301201695878 451802543817 466376819424 602403391756 903605087634 1204806783512 1807210175268 2409613567024 3614420350536 4819227134048 7228840701072 14457681402144