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21132342144432 = 24323114869318377
BaseRepresentation
bin1001100111000010000011…
…01111110010110110110000
32202211020021020222102220200
410303201001233302312300
510232213014042110212
6112540021452035200
74310522065315461
oct463410157626660
982736236872820
1021132342144432
1168081a3248912
12245370a762b00
13ba3a04763b7c
14530b4cc4cd68
15269a79da96dc
hex133841bf2db0

21132342144432 has 120 divisors (see below), whose sum is σ = 61053285970560. Its totient is φ = 6816404689920.

The previous prime is 21132342144383. The next prime is 21132342144449. The reversal of 21132342144432 is 23444124323112.

21132342144432 is a `hidden beast` number, since 2 + 1 + 1 + 3 + 2 + 3 + 4 + 214 + 4 + 432 = 666.

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

It is a nude number because it is divisible by every one of its digits.

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, 66216028 + ... + 66534404.

It is an arithmetic number, because the mean of its divisors is an integer number (508777383088).

Almost surely, 221132342144432 is an apocalyptic number.

It is an amenable number.

21132342144432 is an abundant number, since it is smaller than the sum of its proper divisors (39920943826128).

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

21132342144432 is a wasteful number, since it uses less digits than its factorization.

21132342144432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333291 (or 333282 counting only the distinct ones).

The product of its digits is 110592, while the sum is 36.

Adding to 21132342144432 its reverse (23444124323112), we get a palindrome (44576466467544).

The spelling of 21132342144432 in words is "twenty-one trillion, one hundred thirty-two billion, three hundred forty-two million, one hundred forty-four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 36 48 62 72 93 124 144 186 248 279 372 496 558 744 1116 1488 2232 4464 14869 29738 44607 59476 89214 118952 133821 178428 237904 267642 318377 356856 460939 535284 636754 713712 921878 955131 1070568 1273508 1382817 1843756 1910262 2141136 2547016 2765634 2865393 3687512 3820524 4148451 5094032 5531268 5730786 7375024 7641048 8296902 9869687 11062536 11461572 15282096 16593804 19739374 22125072 22923144 29609061 33187608 39478748 45846288 59218122 66375216 78957496 88827183 118436244 157914992 177654366 236872488 355308732 473744976 710617464 1421234928 4733947613 9467895226 14201842839 18935790452 28403685678 37871580904 42605528517 56807371356 75743161808 85211057034 113614742712 146752376003 170422114068 227229485424 293504752006 340844228136 440257128009 587009504012 681688456272 880514256018 1174019008024 1320771384027 1761028512036 2348038016048 2641542768054 3522057024072 5283085536108 7044114048144 10566171072216 21132342144432