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14682222708480 = 28335424832833
BaseRepresentation
bin1101010110100111100010…
…1010110100011100000000
31220222121101100022101002000
43111221320222310130000
53411023143003132410
651120530415224000
73043520110605615
oct325517052643400
956877340271060
1014682222708480
114750771a55018
12179161a818000
138266b2368a82
1438a8a275a50c
151a6db943edc0
hexd5a78ab4700

14682222708480 has 144 divisors (see below), whose sum is σ = 52101498761760. Its totient is φ = 3915259379712.

The previous prime is 14682222708467. The next prime is 14682222708487. The reversal of 14682222708480 is 8480722228641.

It is a happy number.

14682222708480 is a `hidden beast` number, since 1 + 46 + 82 + 22 + 27 + 0 + 8 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×146822227084802 (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14682222708487) 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, 212381857 + ... + 212450976.

Almost surely, 214682222708480 is an apocalyptic number.

14682222708480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14682222708480 is an abundant number, since it is smaller than the sum of its proper divisors (37419276053280).

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

14682222708480 is an equidigital number, since it uses as much as digits as its factorization.

14682222708480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 424832863 (or 424832843 counting only the distinct ones).

The product of its (nonzero) digits is 5505024, while the sum is 54.

The spelling of 14682222708480 in words is "fourteen trillion, six hundred eighty-two billion, two hundred twenty-two million, seven hundred eight thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 128 135 144 160 180 192 216 240 256 270 288 320 360 384 432 480 540 576 640 720 768 864 960 1080 1152 1280 1440 1728 1920 2160 2304 2880 3456 3840 4320 5760 6912 8640 11520 17280 34560 424832833 849665666 1274498499 1699331332 2124164165 2548996998 3398662664 3823495497 4248328330 5097993996 6372492495 6797325328 7646990994 8496656660 10195987992 11470486491 12744984990 13594650656 15293981988 16993313320 19117477485 20391975984 22940972982 25489969980 27189301312 30587963976 33986626640 38234954970 40783951968 45881945964 50979939960 54378602624 57352432455 61175927952 67973253280 76469909940 81567903936 91763891928 101959879920 108757205248 114704864910 122351855904 135946506560 152939819880 163135807872 183527783856 203919759840 229409729820 244703711808 271893013120 305879639760 326271615744 367055567712 407839519680 458819459640 489407423616 543786026240 611759279520 734111135424 815679039360 917638919280 978814847232 1223518559040 1468222270848 1631358078720 1835277838560 2447037118080 2936444541696 3670555677120 4894074236160 7341111354240 14682222708480