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102440058640 = 2451280500733
BaseRepresentation
bin101111101100111100…
…1110011111100010000
3100210102020001011102221
41133121321303330100
53134244123334030
6115021005550424
710254363063043
oct1373171637420
9323366034387
10102440058640
113a498819297
1217a2ab75414
1398771b281a
144d5b14ac5a
1529e8574e7a
hex17d9e73f10

102440058640 has 20 divisors (see below), whose sum is σ = 238173136524. Its totient is φ = 40976023424.

The previous prime is 102440058631. The next prime is 102440058647. The reversal of 102440058640 is 46850044201.

It can be written as a sum of positive squares in 2 ways, for example, as 76921913104 + 25518145536 = 277348^2 + 159744^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×1024400586402 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102440058596 and 102440058605.

It is not an unprimeable number, because it can be changed into a prime (102440058647) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 640250287 + ... + 640250446.

Almost surely, 2102440058640 is an apocalyptic number.

102440058640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102440058640 is an abundant number, since it is smaller than the sum of its proper divisors (135733077884).

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

102440058640 is a wasteful number, since it uses less digits than its factorization.

102440058640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1280500746 (or 1280500740 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 34.

The spelling of 102440058640 in words is "one hundred two billion, four hundred forty million, fifty-eight thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1280500733 2561001466 5122002932 6402503665 10244005864 12805007330 20488011728 25610014660 51220029320 102440058640