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14276407104 = 263261340433
BaseRepresentation
bin11010100101111000…
…01010111101000000
31100211221120121211200
431102330022331000
5213214230011404
610320344541200
71013532313101
oct152274127500
940757517750
1014276407104
116066728a63
122925181800
13146696908b
149960a83a8
15588531839
hex352f0af40

14276407104 has 84 divisors (see below), whose sum is σ = 40988511876. Its totient is φ = 4750921728.

The previous prime is 14276407003. The next prime is 14276407109. The reversal of 14276407104 is 40170467241.

It is a happy number.

14276407104 is a `hidden beast` number, since 1 + 4 + 2 + 7 + 640 + 7 + 1 + 0 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 699496704 + 13576910400 = 26448^2 + 116520^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14276407109) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 332872 + ... + 373304.

Almost surely, 214276407104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14276407104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20494255938).

14276407104 is an abundant number, since it is smaller than the sum of its proper divisors (26712104772).

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

14276407104 is a wasteful number, since it uses less digits than its factorization.

14276407104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41064 (or 41051 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The spelling of 14276407104 in words is "fourteen billion, two hundred seventy-six million, four hundred seven thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 613 1226 1839 2452 3678 4904 5517 7356 9808 11034 14712 19616 22068 29424 39232 40433 44136 58848 80866 88272 117696 121299 161732 176544 242598 323464 353088 363897 485196 646928 727794 970392 1293856 1455588 1940784 2587712 2911176 3881568 5822352 7763136 11644704 23289408 24785429 49570858 74356287 99141716 148712574 198283432 223068861 297425148 396566864 446137722 594850296 793133728 892275444 1189700592 1586267456 1784550888 2379401184 3569101776 4758802368 7138203552 14276407104