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14215533144 = 2331724743607
BaseRepresentation
bin11010011110100111…
…11101001001011000
31100200201000220110120
431033103331021120
5213103134030034
610310332113240
71012163016021
oct151723751130
940621026416
1014215533144
1160353304aa
122908905820
131457174397
1498bd7dc48
15583009c49
hex34f4fd258

14215533144 has 96 divisors (see below), whose sum is σ = 38556449280. Its totient is φ = 4364786176.

The previous prime is 14215533131. The next prime is 14215533181. The reversal of 14215533144 is 44133551241.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 304189 + ... + 347795.

It is an arithmetic number, because the mean of its divisors is an integer number (401629680).

Almost surely, 214215533144 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 14215533144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19278224640).

14215533144 is an abundant number, since it is smaller than the sum of its proper divisors (24340916136).

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

14215533144 is a wasteful number, since it uses less digits than its factorization.

14215533144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43697 (or 43676 counting only the distinct ones).

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

The spelling of 14215533144 in words is "fourteen billion, two hundred fifteen million, five hundred thirty-three thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 17 24 34 47 51 68 94 102 136 141 188 204 282 289 376 408 564 578 799 867 1128 1156 1598 1734 2312 2397 3196 3468 4794 6392 6936 9588 13583 19176 27166 40749 43607 54332 81498 87214 108664 130821 162996 174428 261642 325992 348856 523284 741319 1046568 1482638 2049529 2223957 2965276 4099058 4447914 5930552 6148587 8198116 8895828 12297174 12602423 16396232 17791656 24594348 25204846 34841993 37807269 49188696 50409692 69683986 75614538 100819384 104525979 139367972 151229076 209051958 278735944 302458152 418103916 592313881 836207832 1184627762 1776941643 2369255524 3553883286 4738511048 7107766572 14215533144