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1480422257514 = 234311013498363
BaseRepresentation
bin10101100010110000000…
…010101111001101101010
312020112020011122202220000
4111202300002233031222
5143223401044220024
63052032510443430
7211646146364064
oct25426002571552
95215204582800
101480422257514
11520930851722
121baaba503576
13a97ac3740b5
145191d4a0734
152879873bcc9
hex158b00af36a

1480422257514 has 160 divisors (see below), whose sum is σ = 3468477196800. Its totient is φ = 471416112000.

The previous prime is 1480422257497. The next prime is 1480422257551. The reversal of 1480422257514 is 4157522240841.

1480422257514 is a `hidden beast` number, since 1 + 4 + 8 + 0 + 42 + 22 + 575 + 14 = 666.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1480422257514.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 177016297 + ... + 177024659.

It is an arithmetic number, because the mean of its divisors is an integer number (21677982480).

Almost surely, 21480422257514 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1480422257514, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1734238598400).

1480422257514 is an abundant number, since it is smaller than the sum of its proper divisors (1988054939286).

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

1480422257514 is a wasteful number, since it uses less digits than its factorization.

1480422257514 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8858 (or 8849 counting only the distinct ones).

The product of its (nonzero) digits is 716800, while the sum is 45.

The spelling of 1480422257514 in words is "one trillion, four hundred eighty billion, four hundred twenty-two million, two hundred fifty-seven thousand, five hundred fourteen".

Divisors: 1 2 3 6 9 18 27 31 54 62 81 93 101 162 186 202 279 303 349 558 606 698 837 909 1047 1674 1818 2094 2511 2727 3131 3141 5022 5454 6262 6282 8181 8363 9393 9423 10819 16362 16726 18786 18846 21638 25089 28179 28269 32457 35249 50178 56358 56538 64914 70498 75267 84537 97371 105747 150534 169074 194742 211494 225801 253611 259253 292113 317241 451602 507222 518506 584226 634482 677403 777759 844663 876339 951723 1092719 1354806 1555518 1689326 1752678 1903446 2185438 2333277 2533989 2855169 2918687 3278157 4666554 5067978 5710338 5837374 6556314 6999831 7601967 8756061 9834471 13999662 15203934 17512122 19668942 20999493 22805901 26184553 26268183 29503413 41998986 45611802 52369106 52536366 59006826 68417703 78553659 78804549 88510239 90479297 136835406 157107318 157609098 177020478 180958594 235660977 236413647 271437891 294787387 471321954 472827294 542875782 589574774 706982931 814313673 884362161 1413965862 1628627346 1768724322 2120948793 2442941019 2653086483 4241897586 4885882038 5306172966 7328823057 7959259449 9138408997 14657646114 15918518898 18276817994 23877778347 27415226991 47755556694 54830453982 82245680973 164491361946 246737042919 493474085838 740211128757 1480422257514