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1002444431032 = 2311157652911113
BaseRepresentation
bin11101001011001100101…
…10000001111010111000
310112211111002001101110201
432211212112001322320
5112411001233243112
62044303331051544
7132265336034062
oct16454626017270
93484432041421
101002444431032
11357152825130
12142344740bb4
13736b783cb35
1436738d50732
151b121167257
hexe966581eb8

1002444431032 has 64 divisors (see below), whose sum is σ = 2064016504800. Its totient is φ = 452644208640.

The previous prime is 1002444431029. The next prime is 1002444431033. The reversal of 1002444431032 is 2301344442001.

1002444431032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002444431033) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90199108 + ... + 90210220.

Almost surely, 21002444431032 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 1002444431032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1032008252400).

1002444431032 is an abundant number, since it is smaller than the sum of its proper divisors (1061572073768).

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

1002444431032 is a wasteful number, since it uses less digits than its factorization.

1002444431032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17816 (or 17812 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 1002444431032 its reverse (2301344442001), we get a palindrome (3303788873033).

The spelling of 1002444431032 in words is "one trillion, two billion, four hundred forty-four million, four hundred thirty-one thousand, thirty-two".

Divisors: 1 2 4 8 11 22 44 88 157 314 628 1256 1727 3454 6529 6908 11113 13058 13816 22226 26116 44452 52232 71819 88904 122243 143638 244486 287276 488972 574552 977944 1025053 1744741 2050106 3489482 4100212 6978964 8200424 11275583 13957928 19192151 22551166 38384302 45102332 72556777 76768604 90204664 145113554 153537208 290227108 580454216 798124547 1596249094 3192498188 6384996376 11391413989 22782827978 45565655956 91131311912 125305553879 250611107758 501222215516 1002444431032