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14245516032 = 283111686259
BaseRepresentation
bin11010100010001100…
…10101001100000000
31100202210110012020220
431101012111030000
5213133323003112
610313322503040
71013005613466
oct152106251400
940683405226
1014245516032
11605024a050
122916964a80
131460441637
14991d46836
1558597d98c
hex351195300

14245516032 has 72 divisors (see below), whose sum is σ = 41360585280. Its totient is φ = 4316820480.

The previous prime is 14245515919. The next prime is 14245516063. The reversal of 14245516032 is 23061554241.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 14245515984 and 14245516002.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 834682 + ... + 851577.

Almost surely, 214245516032 is an apocalyptic number.

14245516032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

14245516032 is an abundant number, since it is smaller than the sum of its proper divisors (27115069248).

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

14245516032 is a wasteful number, since it uses less digits than its factorization.

14245516032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1686289 (or 1686275 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The spelling of 14245516032 in words is "fourteen billion, two hundred forty-five million, five hundred sixteen thousand, thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 528 704 768 1056 1408 2112 2816 4224 8448 1686259 3372518 5058777 6745036 10117554 13490072 18548849 20235108 26980144 37097698 40470216 53960288 55646547 74195396 80940432 107920576 111293094 148390792 161880864 215841152 222586188 296781584 323761728 431682304 445172376 593563168 647523456 890344752 1187126336 1295046912 1780689504 2374252672 3561379008 4748505344 7122758016 14245516032