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130145445304 = 23722967317011
BaseRepresentation
bin111100100110101000…
…1011110010110111000
3110102221001121122001221
41321031101132112320
54113014213222204
6135442112321424
712255061014100
oct1711521362670
9412831548057
10130145445304
1150215790366
1221281543274
13c37106a544
14642892a200
1535ba9e3654
hex1e4d45e5b8

130145445304 has 96 divisors (see below), whose sum is σ = 294105157200. Its totient is φ = 53770106880.

The previous prime is 130145445277. The next prime is 130145445337. The reversal of 130145445304 is 403544541031.

It is a self number, because there is not a number n which added to its sum of digits gives 130145445304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7642159 + ... + 7659169.

Almost surely, 2130145445304 is an apocalyptic number.

130145445304 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130145445304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147052578600).

130145445304 is an abundant number, since it is smaller than the sum of its proper divisors (163959711896).

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

130145445304 is a wasteful number, since it uses less digits than its factorization.

130145445304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17733 (or 17722 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 34.

Adding to 130145445304 its reverse (403544541031), we get a palindrome (533689986335).

The spelling of 130145445304 in words is "one hundred thirty billion, one hundred forty-five million, four hundred forty-five thousand, three hundred four".

Divisors: 1 2 4 7 8 14 28 29 49 56 58 98 116 196 203 232 392 406 673 812 1346 1421 1624 2692 2842 4711 5384 5684 9422 11368 17011 18844 19517 32977 34022 37688 39034 65954 68044 78068 119077 131908 136088 136619 156136 238154 263816 273238 476308 493319 546476 833539 952616 956333 986638 1092952 1667078 1912666 1973276 3334156 3453233 3825332 3946552 6668312 6906466 7650664 11448403 13812932 22896806 24172631 27625864 45793612 48345262 80138821 91587224 96690524 160277642 193381048 320555284 332003687 560971747 641110568 664007374 1121943494 1328014748 2243886988 2324025809 2656029496 4487773976 4648051618 9296103236 16268180663 18592206472 32536361326 65072722652 130145445304