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132341033220024 = 233192359417212369
BaseRepresentation
bin11110000101110100001100…
…010001100011011110111000
3122100120200100011000201101210
4132011310030101203132320
5114321233414001020044
61145244344212243120
736606216113563236
oct3605641421433670
9570520304021353
10132341033220024
11391935761468a2
1212a146b43104a0
1358ac923a993b5
1424974a9675956
1510477622b11b9
hex785d0c4637b8

132341033220024 has 128 divisors (see below), whose sum is σ = 363415699008000. Its totient is φ = 39974004854784.

The previous prime is 132341033220023. The next prime is 132341033220037. The reversal of 132341033220024 is 420022330143231.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 132341033219973 and 132341033220000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132341033220023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 623059312 + ... + 623271680.

It is an arithmetic number, because the mean of its divisors is an integer number (2839185148500).

Almost surely, 2132341033220024 is an apocalyptic number.

It is an amenable number.

132341033220024 is an abundant number, since it is smaller than the sum of its proper divisors (231074665787976).

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

132341033220024 is a wasteful number, since it uses less digits than its factorization.

132341033220024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271837 (or 271833 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 132341033220024 its reverse (420022330143231), we get a palindrome (552363363363255).

The spelling of 132341033220024 in words is "one hundred thirty-two trillion, three hundred forty-one billion, thirty-three million, two hundred twenty thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 19 23 24 38 46 57 69 76 92 114 138 152 184 228 276 437 456 552 874 1311 1748 2622 3496 5244 10488 59417 118834 178251 212369 237668 356502 424738 475336 637107 713004 849476 1128923 1274214 1366591 1426008 1698952 2257846 2548428 2733182 3386769 4035011 4099773 4515692 4884487 5096856 5466364 6773538 8070022 8199546 9031384 9768974 10932728 12105033 13547076 14653461 16140044 16399092 19537948 24210066 25965229 27094152 29306922 32280088 32798184 39075896 48420132 51930458 58613844 77895687 92805253 96840264 103860916 117227688 155791374 185610506 207721832 278415759 311582748 371221012 556831518 623165496 742442024 1113663036 2227326072 12618328873 25236657746 37854986619 50473315492 75709973238 100946630984 151419946476 239748248587 290221564079 302839892952 479496497174 580443128158 719244745761 870664692237 958992994348 1160886256316 1438489491522 1741329384474 1917985988696 2321772512632 2876978983044 3482658768948 5514209717501 5753957966088 6965317537896 11028419435002 16542629152503 22056838870004 33085258305006 44113677740008 66170516610012 132341033220024