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130958614032 = 24323118621933
BaseRepresentation
bin111100111110110111…
…1011101111000010000
3110112000201201212212020
41321331233131320100
54121200401122112
6140054521331440
712314163565311
oct1717557357020
9415021655766
10130958614032
11505a27a6034
1221469936b80
13c47068137c
1464a4922608
1536170bc48c
hex1e7dbdde10

130958614032 has 40 divisors (see below), whose sum is σ = 353018875584. Its totient is φ = 41754920064.

The previous prime is 130958614019. The next prime is 130958614049. The reversal of 130958614032 is 230416859031.

130958614032 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 59309863 + ... + 59312070.

Almost surely, 2130958614032 is an apocalyptic number.

130958614032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

130958614032 is an abundant number, since it is smaller than the sum of its proper divisors (222060261552).

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

130958614032 is a wasteful number, since it uses less digits than its factorization.

130958614032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118621967 (or 118621961 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The spelling of 130958614032 in words is "one hundred thirty billion, nine hundred fifty-eight million, six hundred fourteen thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 92 138 184 276 368 552 1104 118621933 237243866 355865799 474487732 711731598 948975464 1423463196 1897950928 2728304459 2846926392 5456608918 5693852784 8184913377 10913217836 16369826754 21826435672 32739653508 43652871344 65479307016 130958614032