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14465835076 = 2272114712
BaseRepresentation
bin11010111100011101…
…10010000001000100
31101100011000120011111
431132032302001010
5214111223210301
610351233014404
71021322366200
oct153616620104
941304016144
1014465835076
116153650000
1229786b4404
131496c91334
149b32d7b00
15599e9d551
hex35e3b2044

14465835076 has 135 divisors (see below), whose sum is σ = 32855601135. Its totient is φ = 5556658800.

The previous prime is 14465835053. The next prime is 14465835077. The reversal of 14465835076 is 67053856441.

The square root of 14465835076 is 120274.

It is a perfect power (a square), and thus also a powerful number.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (14465835077) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 203744121 + ... + 203744191.

Almost surely, 214465835076 is an apocalyptic number.

14465835076 is the 120274-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14465835076

14465835076 is an abundant number, since it is smaller than the sum of its proper divisors (18389766059).

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

14465835076 is an frugal number, since it uses more digits than its factorization.

14465835076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 49.

Multiplying 14465835076 by its sum of digits (49), we get a square (708825918724 = 8419182).

14465835076 divided by its sum of digits (49) gives a square (295221124 = 171822).

The spelling of 14465835076 in words is "fourteen billion, four hundred sixty-five million, eight hundred thirty-five thousand, seventy-six".

Divisors: 1 2 4 7 11 14 22 28 44 49 71 77 98 121 142 154 196 242 284 308 484 497 539 781 847 994 1078 1331 1562 1694 1988 2156 2662 3124 3388 3479 5041 5324 5467 5929 6958 8591 9317 10082 10934 11858 13916 14641 17182 18634 20164 21868 23716 29282 34364 35287 37268 38269 55451 58564 60137 65219 70574 76538 94501 102487 110902 120274 130438 141148 153076 189002 204974 221804 240548 247009 260876 378004 388157 409948 420959 494018 609961 661507 717409 776314 841918 988036 1039511 1219922 1323014 1434818 1552628 1683836 2079022 2439844 2646028 2717099 2869636 4158044 4269727 4630549 5434198 6709571 7276577 8539454 9261098 10868396 13419142 14553154 17078908 18522196 26838284 29106308 29888089 46966997 50936039 59776178 73805281 93933994 101872078 119552356 147610562 187867988 203744156 295221124 328768979 516636967 657537958 1033273934 1315075916 2066547868 3616458769 7232917538 14465835076