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14640531150 = 2352728922381
BaseRepresentation
bin11011010001010010…
…01100011011001110
31101210022202001010110
431220221030123032
5214440433444100
610420433220450
71025543314200
oct155051143316
941708661113
1014640531150
11623321a823
122a07101726
1314c4228cab
149cc5b0770
155aa4aa250
hex368a4c6ce

14640531150 has 144 divisors (see below), whose sum is σ = 42712913520. Its totient is φ = 3308659200.

The previous prime is 14640531083. The next prime is 14640531173. The reversal of 14640531150 is 5113504641.

It is a happy number.

14640531150 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 642960 + ... + 665340.

It is an arithmetic number, because the mean of its divisors is an integer number (296617455).

Almost surely, 214640531150 is an apocalyptic number.

14640531150 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14640531150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21356456760).

14640531150 is an abundant number, since it is smaller than the sum of its proper divisors (28072382370).

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

14640531150 is a wasteful number, since it uses less digits than its factorization.

14640531150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22499 (or 22487 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The spelling of 14640531150 in words is "fourteen billion, six hundred forty million, five hundred thirty-one thousand, one hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 30 35 42 49 50 70 75 89 98 105 147 150 175 178 210 245 267 294 350 445 490 525 534 623 735 890 1050 1225 1246 1335 1470 1869 2225 2450 2670 3115 3675 3738 4361 4450 6230 6675 7350 8722 9345 13083 13350 15575 18690 21805 22381 26166 31150 43610 44762 46725 65415 67143 93450 109025 111905 130830 134286 156667 218050 223810 313334 327075 335715 470001 559525 654150 671430 783335 940002 1096669 1119050 1566670 1678575 1991909 2193338 2350005 3290007 3357150 3916675 3983818 4700010 5483345 5975727 6580014 7833350 9959545 10966690 11750025 11951454 13943363 16450035 19919090 23500050 27416725 27886726 29878635 32900070 41830089 49797725 54833450 59757270 69716815 82250175 83660178 97603541 99595450 139433630 149393175 164500350 195207082 209150445 292810623 298786350 348584075 418300890 488017705 585621246 697168150 976035410 1045752225 1464053115 2091504450 2440088525 2928106230 4880177050 7320265575 14640531150