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130023544440 = 23352813855977
BaseRepresentation
bin111100100011000000…
…0011101011001111000
3110102121120020102112010
41321012000131121320
54112242011410230
6135422035445520
712252050615016
oct1710600353170
9412546212463
10130023544440
11501629a0449
12212487568a0
13c351a2935a
1464166778b6
1535aee649b0
hex1e4601d678

130023544440 has 64 divisors (see below), whose sum is σ = 391458886560. Its totient is φ = 34549544960.

The previous prime is 130023544433. The next prime is 130023544459. The reversal of 130023544440 is 44445320031.

It is a super-2 number, since 2×1300235444402 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 130023544398 and 130023544407.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1894269 + ... + 1961708.

Almost surely, 2130023544440 is an apocalyptic number.

130023544440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130023544440 is an abundant number, since it is smaller than the sum of its proper divisors (261435342120).

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

130023544440 is a wasteful number, since it uses less digits than its factorization.

130023544440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3856272 (or 3856268 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

Adding to 130023544440 its reverse (44445320031), we get a palindrome (174468864471).

The spelling of 130023544440 in words is "one hundred thirty billion, twenty-three million, five hundred forty-four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 281 562 843 1124 1405 1686 2248 2810 3372 4215 5620 6744 8430 11240 16860 33720 3855977 7711954 11567931 15423908 19279885 23135862 30847816 38559770 46271724 57839655 77119540 92543448 115679310 154239080 231358620 462717240 1083529537 2167059074 3250588611 4334118148 5417647685 6501177222 8668236296 10835295370 13002354444 16252943055 21670590740 26004708888 32505886110 43341181480 65011772220 130023544440