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1020432133144 = 231929263880211
BaseRepresentation
bin11101101100101100111…
…11101010110000011000
310121112220200002022222001
432312112133222300120
5113204321111230034
62100440254010344
7133503155006224
oct16662637526030
93545820068861
101020432133144
11363843377a46
121459247a69b4
13752c3355958
1437563c99784
151b8253e1a14
hexed967eac18

1020432133144 has 64 divisors (see below), whose sum is σ = 2091383712000. Its totient is φ = 464919880320.

The previous prime is 1020432133129. The next prime is 1020432133157. The reversal of 1020432133144 is 4413312340201.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 719199 + ... + 1599409.

It is an arithmetic number, because the mean of its divisors is an integer number (32677870500).

Almost surely, 21020432133144 is an apocalyptic number.

It is an amenable number.

1020432133144 is an abundant number, since it is smaller than the sum of its proper divisors (1070951578856).

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

1020432133144 is a wasteful number, since it uses less digits than its factorization.

1020432133144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 880528 (or 880524 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 1020432133144 its reverse (4413312340201), we get a palindrome (5433744473345).

The spelling of 1020432133144 in words is "one trillion, twenty billion, four hundred thirty-two million, one hundred thirty-three thousand, one hundred forty-four".

Divisors: 1 2 4 8 19 29 38 58 76 116 152 232 263 526 551 1052 1102 2104 2204 4408 4997 7627 9994 15254 19988 30508 39976 61016 144913 289826 579652 880211 1159304 1760422 3520844 7041688 16724009 25526119 33448018 51052238 66896036 102104476 133792072 204208952 231495493 462990986 484996261 925981972 969992522 1851963944 1939985044 3879970088 4398414367 6713369297 8796828734 13426738594 17593657468 26853477188 35187314936 53706954376 127554016643 255108033286 510216066572 1020432133144