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14730876373120 = 275101227891033
BaseRepresentation
bin1101011001011100110010…
…1001110100100010000000
31221011020222002202121210021
43112113030221310202000
53412322313322414440
651155134324143224
73050161564125445
oct326271451644200
957136862677707
1014730876373120
11476a369752416
12179ab38837b14
1382b1671c944b
1438cd9a3479cc
151a82b59e084a
hexd65cca74880

14730876373120 has 64 divisors (see below), whose sum is σ = 35564674766040. Its totient is φ = 5834010419200.

The previous prime is 14730876373033. The next prime is 14730876373133. The reversal of 14730876373120 is 2137367803741.

It can be written as a sum of positive squares in 4 ways, for example, as 12496903729216 + 2233972643904 = 3535096^2 + 1494648^2 .

It is a tau number, because it is divible by the number of its divisors (64).

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 7 ways as a sum of consecutive naturals, for example, 113880877 + ... + 114010156.

Almost surely, 214730876373120 is an apocalyptic number.

14730876373120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14730876373120 is an abundant number, since it is smaller than the sum of its proper divisors (20833798392920).

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

14730876373120 is a wasteful number, since it uses less digits than its factorization.

14730876373120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227891153 (or 227891141 counting only the distinct ones).

The product of its (nonzero) digits is 3556224, while the sum is 52.

The spelling of 14730876373120 in words is "fourteen trillion, seven hundred thirty billion, eight hundred seventy-six million, three hundred seventy-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 101 128 160 202 320 404 505 640 808 1010 1616 2020 3232 4040 6464 8080 12928 16160 32320 64640 227891033 455782066 911564132 1139455165 1823128264 2278910330 3646256528 4557820660 7292513056 9115641320 14585026112 18231282640 23016994333 29170052224 36462565280 46033988666 72925130560 92067977332 115084971665 145850261120 184135954664 230169943330 368271909328 460339886660 736543818656 920679773320 1473087637312 1841359546640 2946175274624 3682719093280 7365438186560 14730876373120