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14422612795344 = 24331316315755393
BaseRepresentation
bin1101000111100000011010…
…1101100101111111010000
31220001210021200110100102000
43101320012231211333100
53342300002333422334
650401353513554000
73015666535010445
oct321700655457720
956053250410360
1014422612795344
114660660a208a6
12174b247a15900
1380807b36cb60
1437c0b59299cc
151a0272b1e299
hexd1e06b65fd0

14422612795344 has 160 divisors (see below), whose sum is σ = 44856236933760. Its totient is φ = 4410501414912.

The previous prime is 14422612795301. The next prime is 14422612795361. The reversal of 14422612795344 is 44359721622441.

14422612795344 is a `hidden beast` number, since 1 + 4 + 4 + 2 + 26 + 1 + 279 + 5 + 344 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 6962289 + ... + 8793104.

It is an arithmetic number, because the mean of its divisors is an integer number (280351480836).

Almost surely, 214422612795344 is an apocalyptic number.

It is an amenable number.

14422612795344 is an abundant number, since it is smaller than the sum of its proper divisors (30433624138416).

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

14422612795344 is a wasteful number, since it uses less digits than its factorization.

14422612795344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15755586 (or 15755574 counting only the distinct ones).

The product of its digits is 11612160, while the sum is 54.

The spelling of 14422612795344 in words is "fourteen trillion, four hundred twenty-two billion, six hundred twelve million, seven hundred ninety-five thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 104 108 117 144 156 163 208 216 234 312 326 351 432 468 489 624 652 702 936 978 1304 1404 1467 1872 1956 2119 2608 2808 2934 3912 4238 4401 5616 5868 6357 7824 8476 8802 11736 12714 16952 17604 19071 23472 25428 33904 35208 38142 50856 57213 70416 76284 101712 114426 152568 228852 305136 457704 915408 15755393 31510786 47266179 63021572 94532358 126043144 141798537 189064716 204820109 252086288 283597074 378129432 409640218 425395611 567194148 614460327 756258864 819280436 850791222 1134388296 1228920654 1638560872 1701582444 1843380981 2268776592 2457841308 2568129059 3277121744 3403164888 3686761962 4915682616 5136258118 5530142943 6806329776 7373523924 7704387177 9831365232 10272516236 11060285886 14747047848 15408774354 20545032472 22120571772 23113161531 29494095696 30817548708 33385677767 41090064944 44241143544 46226323062 61635097416 66771355534 69339484593 88482287088 92452646124 100157033301 123270194832 133542711068 138678969186 184905292248 200314066602 267085422136 277357938372 300471099903 369810584496 400628133204 534170844272 554715876744 600942199806 801256266408 901413299709 1109431753488 1201884399612 1602512532816 1802826599418 2403768799224 3605653198836 4807537598448 7211306397672 14422612795344