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114730455015 = 3251117132110321
BaseRepresentation
bin110101011011001110…
…1111100111111100111
3101222010202120222201200
41222312131330333213
53334431444030030
6124412331453543
711201061530331
oct1526635747747
9358122528650
10114730455015
1144725394a70
121a29abb72b3
13aa85561b07
1457a555c451
152eb7558d60
hex1ab677cfe7

114730455015 has 96 divisors (see below), whose sum is σ = 229902484032. Its totient is φ = 52310016000.

The previous prime is 114730455013. The next prime is 114730455029. The reversal of 114730455015 is 510554037411.

114730455015 is a `hidden beast` number, since 1 + 147 + 3 + 0 + 4 + 5 + 501 + 5 = 666.

It is not a de Polignac number, because 114730455015 - 21 = 114730455013 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114730455011) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11111055 + ... + 11121375.

It is an arithmetic number, because the mean of its divisors is an integer number (2394817542).

Almost surely, 2114730455015 is an apocalyptic number.

114730455015 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

114730455015 is an abundant number, since it is smaller than the sum of its proper divisors (115172029017).

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

114730455015 is a wasteful number, since it uses less digits than its factorization.

114730455015 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11681 (or 11678 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 36.

The spelling of 114730455015 in words is "one hundred fourteen billion, seven hundred thirty million, four hundred fifty-five thousand, fifteen".

Divisors: 1 3 5 9 11 15 17 33 45 51 55 85 99 153 165 187 255 495 561 765 935 1321 1683 2805 3963 6605 8415 10321 11889 14531 19815 22457 30963 43593 51605 59445 67371 72655 92889 112285 113531 130779 154815 175457 202113 217965 247027 336855 340593 464445 526371 567655 653895 741081 877285 1010565 1021779 1235135 1579113 1702965 1930027 2223243 2631855 3705405 5108895 5790081 7895565 9650135 11116215 13634041 17370243 28950405 40902123 68170205 86851215 122706369 149974451 204510615 231778697 449923353 613531845 695336091 749872255 1158893485 1349770059 2086008273 2249616765 2549565667 3476680455 6748850295 7648697001 10430041365 12747828335 22946091003 38243485005 114730455015