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130330311414440 = 23519549316666877
BaseRepresentation
bin11101101000100011100011…
…111010100101001010101000
3122002110110022111012201012012
4131220203203322211022220
5114040312434210230230
61141104530221535052
736311024420332604
oct3550434372451250
9562413274181165
10130330311414440
11385888580a8865
121274aa79714488
135795132142287
142428040c50504
1510102ccd97395
hex7688e3ea52a8

130330311414440 has 32 divisors (see below), whose sum is σ = 293244718295880. Its totient is φ = 52131854767872.

The previous prime is 130330311414437. The next prime is 130330311414469. The reversal of 130330311414440 is 44414113033031.

It can be written as a sum of positive squares in 4 ways, for example, as 87917889614116 + 42412421800324 = 9376454^2 + 6512482^2 .

It is a junction number, because it is equal to n+sod(n) for n = 130330311414397 and 130330311414406.

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, 513719 + ... + 16153158.

Almost surely, 2130330311414440 is an apocalyptic number.

130330311414440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130330311414440 is an abundant number, since it is smaller than the sum of its proper divisors (162914406881440).

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

130330311414440 is a wasteful number, since it uses less digits than its factorization.

130330311414440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16862381 (or 16862377 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 32.

Adding to 130330311414440 its reverse (44414113033031), we get a palindrome (174744424447471).

The spelling of 130330311414440 in words is "one hundred thirty trillion, three hundred thirty billion, three hundred eleven million, four hundred fourteen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 195493 390986 781972 977465 1563944 1954930 3909860 7819720 16666877 33333754 66667508 83334385 133335016 166668770 333337540 666675080 3258257785361 6516515570722 13033031141444 16291288926805 26066062282888 32582577853610 65165155707220 130330311414440