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130442034432 = 283732326663
BaseRepresentation
bin111100101111011110…
…0110111110100000000
3110110200201200220212110
41321132330313310000
54114121130100212
6135531345255320
712265321666323
oct1713674676400
9413621626773
10130442034432
1150358145146
1221344934540
13c3ba642978
1464560927ba
1535d6a7ba3c
hex1e5ef37d00

130442034432 has 72 divisors (see below), whose sum is σ = 351921889984. Its totient is φ = 42885033984.

The previous prime is 130442034421. The next prime is 130442034461. The reversal of 130442034432 is 234430244031.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 130442034432.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1107268 + ... + 1219395.

Almost surely, 2130442034432 is an apocalyptic number.

130442034432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

130442034432 is an abundant number, since it is smaller than the sum of its proper divisors (221479855552).

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

130442034432 is an equidigital number, since it uses as much as digits as its factorization.

130442034432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2326755 (or 2326741 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 130442034432 its reverse (234430244031), we get a palindrome (364872278463).

The spelling of 130442034432 in words is "one hundred thirty billion, four hundred forty-two million, thirty-four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 73 96 128 146 192 219 256 292 384 438 584 768 876 1168 1752 2336 3504 4672 7008 9344 14016 18688 28032 56064 2326663 4653326 6979989 9306652 13959978 18613304 27919956 37226608 55839912 74453216 111679824 148906432 169846399 223359648 297812864 339692798 446719296 509539197 595625728 679385596 893438592 1019078394 1358771192 1786877184 2038156788 2717542384 4076313576 5435084768 8152627152 10870169536 16305254304 21740339072 32610508608 43480678144 65221017216 130442034432