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14106895350930 = 2335532266943487
BaseRepresentation
bin1100110101001000010001…
…1111000111110010010010
31211221121100210101102021000
43031102010133013302102
53322111410202212210
650000341313242430
72654122006011024
oct315220437076222
954847323342230
1014106895350930
114549778728a18
1216ba016863416
137b43751889a5
1436aac51a8014
15196e4567eac0
hexcd4847c7c92

14106895350930 has 128 divisors (see below), whose sum is σ = 38330740684800. Its totient is φ = 3690612986112.

The previous prime is 14106895350907. The next prime is 14106895350937. The reversal of 14106895350930 is 3905359860141.

14106895350930 is a `hidden beast` number, since 1 + 4 + 1 + 0 + 6 + 89 + 53 + 509 + 3 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (14106895350937) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 324371647 + ... + 324415133.

It is an arithmetic number, because the mean of its divisors is an integer number (299458911600).

Almost surely, 214106895350930 is an apocalyptic number.

14106895350930 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14106895350930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19165370342400).

14106895350930 is an abundant number, since it is smaller than the sum of its proper divisors (24223845333870).

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

14106895350930 is a wasteful number, since it uses less digits than its factorization.

14106895350930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66225 (or 66219 counting only the distinct ones).

The product of its (nonzero) digits is 3499200, while the sum is 54.

The spelling of 14106895350930 in words is "fourteen trillion, one hundred six billion, eight hundred ninety-five million, three hundred fifty thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 53 54 90 106 135 159 265 270 318 477 530 795 954 1431 1590 2385 2862 4770 7155 14310 22669 43487 45338 68007 86974 113345 130461 136014 204021 217435 226690 260922 340035 391383 408042 434870 612063 652305 680070 782766 1020105 1174149 1201457 1224126 1304610 1956915 2040210 2304811 2348298 2402914 3060315 3604371 3913830 4609622 5870745 6007285 6120630 6914433 7208742 10813113 11524055 11741490 12014570 13828866 18021855 20743299 21626226 23048110 32439339 34572165 36043710 41486598 54065565 62229897 64878678 69144330 103716495 108131130 124459794 162196695 207432990 311149485 324393390 622298970 985806803 1971613606 2957420409 4929034015 5914840818 8872261227 9858068030 14787102045 17744522454 26616783681 29574204090 44361306135 52247760559 53233567362 88722612270 104495521118 133083918405 156743281677 261238802795 266167836810 313486563354 470229845031 522477605590 783716408385 940459690062 1410689535093 1567432816770 2351149225155 2821379070186 4702298450310 7053447675465 14106895350930