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107227656144 = 2434711819627
BaseRepresentation
bin110001111011101000…
…1000010111111010000
3101020202212202022120000
41203313101002333100
53224100234444034
6121132032450000
710514126016210
oct1436721027720
9336685668500
10107227656144
1141525242144
12189463a9900
13a15b033b5b
145292d1c240
152bc8a22599
hex18f7442fd0

107227656144 has 100 divisors (see below), whose sum is σ = 354683397024. Its totient is φ = 30636470592.

The previous prime is 107227656139. The next prime is 107227656199. The reversal of 107227656144 is 441656722701.

107227656144 is a `hidden beast` number, since 1 + 0 + 7 + 2 + 27 + 6 + 5 + 614 + 4 = 666.

It is a super-2 number, since 2×1072276561442 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 107227656144.

It is a congruent number.

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 19 ways as a sum of consecutive naturals, for example, 5900742 + ... + 5918885.

Almost surely, 2107227656144 is an apocalyptic number.

107227656144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

107227656144 is an abundant number, since it is smaller than the sum of its proper divisors (247455740880).

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

107227656144 is a wasteful number, since it uses less digits than its factorization.

107227656144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11819654 (or 11819639 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 107227656144 in words is "one hundred seven billion, two hundred twenty-seven million, six hundred fifty-six thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 81 84 108 112 126 144 162 168 189 216 252 324 336 378 432 504 567 648 756 1008 1134 1296 1512 2268 3024 4536 9072 11819627 23639254 35458881 47278508 70917762 82737389 94557016 106376643 141835524 165474778 189114032 212753286 248212167 283671048 319129929 330949556 425506572 496424334 567342096 638259858 661899112 744636501 851013144 957389787 992848668 1276519716 1323798224 1489273002 1702026288 1914779574 1985697336 2233909503 2553039432 2978546004 3829559148 3971394672 4467819006 5106078864 5957092008 6701728509 7659118296 8935638012 11914184016 13403457018 15318236592 17871276024 26806914036 35742552048 53613828072 107227656144