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114112602560 = 2651122947123
BaseRepresentation
bin110101001000110100…
…1000010000111000000
3101220112200222211111102
41222101221002013000
53332200311240220
6124231141033532
711146550055245
oct1522151020700
9356480884442
10114112602560
1144438653300
121a1480b58a8
13a9b7555448
1457474895cc
152e7d1b1775
hex1a91a421c0

114112602560 has 84 divisors (see below), whose sum is σ = 298679228904. Its totient is φ = 41495477760.

The previous prime is 114112602559. The next prime is 114112602623. The reversal of 114112602560 is 65206211411.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1434842 + ... + 1512281.

It is an arithmetic number, because the mean of its divisors is an integer number (3555705106).

Almost surely, 2114112602560 is an apocalyptic number.

114112602560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114112602560 is an abundant number, since it is smaller than the sum of its proper divisors (184566626344).

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

114112602560 is a wasteful number, since it uses less digits than its factorization.

114112602560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2947162 (or 2947141 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 29.

Adding to 114112602560 its reverse (65206211411), we get a palindrome (179318813971).

The spelling of 114112602560 in words is "one hundred fourteen billion, one hundred twelve million, six hundred two thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 121 160 176 220 242 320 352 440 484 605 704 880 968 1210 1760 1936 2420 3520 3872 4840 7744 9680 19360 38720 2947123 5894246 11788492 14735615 23576984 29471230 32418353 47153968 58942460 64836706 94307936 117884920 129673412 162091765 188615872 235769840 259346824 324183530 356601883 471539680 518693648 648367060 713203766 943079360 1037387296 1296734120 1426407532 1783009415 2074774592 2593468240 2852815064 3566018830 5186936480 5705630128 7132037660 10373872960 11411260256 14264075320 22822520512 28528150640 57056301280 114112602560