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130541251344 = 24371920448191
BaseRepresentation
bin111100110010011011…
…1010110101100010000
3110110221122101122212220
41321210313112230100
54114322030020334
6135545252021040
712300635220420
oct1714467265420
9413848348786
10130541251344
11503a9151299
1221372001780
13c405070bba
14646531c480
1535e0629449
hex1e64dd6b10

130541251344 has 80 divisors (see below), whose sum is σ = 405692129280. Its totient is φ = 35334472320.

The previous prime is 130541251307. The next prime is 130541251367. The reversal of 130541251344 is 443152145031.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10217712 + ... + 10230479.

It is an arithmetic number, because the mean of its divisors is an integer number (5071151616).

Almost surely, 2130541251344 is an apocalyptic number.

130541251344 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

130541251344 is an abundant number, since it is smaller than the sum of its proper divisors (275150877936).

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

130541251344 is a wasteful number, since it uses less digits than its factorization.

130541251344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20448228 (or 20448222 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

Adding to 130541251344 its reverse (443152145031), we get a palindrome (573693396375).

The spelling of 130541251344 in words is "one hundred thirty billion, five hundred forty-one million, two hundred fifty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 38 42 48 56 57 76 84 112 114 133 152 168 228 266 304 336 399 456 532 798 912 1064 1596 2128 3192 6384 20448191 40896382 61344573 81792764 122689146 143137337 163585528 245378292 286274674 327171056 388515629 429412011 490756584 572549348 777031258 858824022 981513168 1145098696 1165546887 1554062516 1717648044 2290197392 2331093774 2719609403 3108125032 3435296088 4662187548 5439218806 6216250064 6870592176 8158828209 9324375096 10878437612 16317656418 18648750192 21756875224 32635312836 43513750448 65270625672 130541251344