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130044340355454 = 233710322914585689
BaseRepresentation
bin11101100100011001001110…
…101101100100000101111110
3122001110010011200012201122000
4131210121032231210011332
5114021121302112333304
61140325313433403130
736251251661414010
oct3544311655440576
9561403150181560
10130044340355454
1138488549977598
121270356a5694a6
1357741899164c5
142418272d9a1b0
151007b42136939
hex76464eb6417e

130044340355454 has 128 divisors (see below), whose sum is σ = 334934116608000. Its totient is φ = 36634114093824.

The previous prime is 130044340355431. The next prime is 130044340355459. The reversal of 130044340355454 is 454553043440031.

130044340355454 is a `hidden beast` number, since 1 + 3 + 0 + 0 + 4 + 4 + 3 + 40 + 3 + 554 + 54 = 666.

It is a super-2 number, since 2×1300443403554542 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130044340355459) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1623042 + ... + 16208730.

It is an arithmetic number, because the mean of its divisors is an integer number (2616672786000).

Almost surely, 2130044340355454 is an apocalyptic number.

130044340355454 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 130044340355454, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167467058304000).

130044340355454 is an abundant number, since it is smaller than the sum of its proper divisors (204889776252546).

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

130044340355454 is a wasteful number, since it uses less digits than its factorization.

130044340355454 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14586039 (or 14586033 counting only the distinct ones).

The product of its (nonzero) digits is 3456000, while the sum is 45.

Adding to 130044340355454 its reverse (454553043440031), we get a palindrome (584597383795485).

The spelling of 130044340355454 in words is "one hundred thirty trillion, forty-four billion, three hundred forty million, three hundred fifty-five thousand, four hundred fifty-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 103 126 189 206 229 309 378 458 618 687 721 927 1374 1442 1603 1854 2061 2163 2781 3206 4122 4326 4809 5562 6183 6489 9618 12366 12978 14427 19467 23587 28854 38934 43281 47174 70761 86562 141522 165109 212283 330218 424566 495327 636849 990654 1273698 1485981 2971962 4457943 8915886 14585689 29171378 43757067 87514134 102099823 131271201 204199646 262542402 306299469 393813603 612598938 787627206 918898407 1502325967 1837796814 2756695221 3004651934 3340122781 4506977901 5513390442 6680245562 9013955802 10020368343 10516281769 13520933703 20040736686 21032563538 23380859467 27041867406 30061105029 31548845307 40562801109 46761718934 60122210058 63097690614 70142578401 81125602218 90183315087 94646535921 140285156802 180366630174 189293071842 210427735203 283939607763 344032646443 420855470406 567879215526 631283205609 688065292886 1032097939329 1262566411218 2064195878658 2408228525101 3096293817987 4816457050202 6192587635974 7224685575303 9288881453961 14449371150606 18577762907922 21674056725909 43348113451818 65022170177727 130044340355454