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14732043444 = 223223103172741
BaseRepresentation
bin11011011100001100…
…10010010010110100
31102000200221100101200
431232012102102310
5220132400342234
610433502452500
71031034205656
oct155606222264
942020840350
1014732043444
11627a944318
122a31894130
13150a18a391
149da7d26d6
155b3534d99
hex36e1924b4

14732043444 has 72 divisors (see below), whose sum is σ = 39235926912. Its totient is φ = 4651542720.

The previous prime is 14732043439. The next prime is 14732043503. The reversal of 14732043444 is 44434023741.

14732043444 is a `hidden beast` number, since 1 + 4 + 7 + 3 + 204 + 3 + 444 = 666.

It is a super-2 number, since 2×147320434442 (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 14732043399 and 14732043408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1087 + ... + 171654.

Almost surely, 214732043444 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 14732043444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19617963456).

14732043444 is an abundant number, since it is smaller than the sum of its proper divisors (24503883468).

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

14732043444 is a wasteful number, since it uses less digits than its factorization.

14732043444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172877 (or 172872 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 36.

The spelling of 14732043444 in words is "fourteen billion, seven hundred thirty-two million, forty-three thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 103 138 206 207 276 309 412 414 618 828 927 1236 1854 2369 3708 4738 7107 9476 14214 21321 28428 42642 85284 172741 345482 518223 690964 1036446 1554669 2072892 3109338 3973043 6218676 7946086 11919129 15892172 17792323 23838258 35584646 35757387 47676516 53376969 71169292 71514774 106753938 143029548 160130907 213507876 320261814 409223429 640523628 818446858 1227670287 1636893716 2455340574 3683010861 4910681148 7366021722 14732043444