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6130136217240 = 233457238612599
BaseRepresentation
bin101100100110100100010…
…0101110111011010011000
3210201000221201210100110000
41121031020211313122120
51300414004332422430
621012051245453000
71201613330052300
oct131151045673230
923630851710400
106130136217240
111a5385a09a612
1283008a271160
133560b9518c39
141729b33d6600
15a96d3c56e60
hex59348977698

6130136217240 has 240 divisors, whose sum is σ = 23967999198000. Its totient is φ = 1401173956224.

The previous prime is 6130136217203. The next prime is 6130136217307. The reversal of 6130136217240 is 427126310316.

6130136217240 is a `hidden beast` number, since 6 + 1 + 3 + 0 + 1 + 3 + 621 + 7 + 24 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 6130136217195 and 6130136217204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 19147540 + ... + 19465059.

It is an arithmetic number, because the mean of its divisors is an integer number (99866663325).

Almost surely, 26130136217240 is an apocalyptic number.

6130136217240 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6130136217240 is an abundant number, since it is smaller than the sum of its proper divisors (17837862980760).

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

6130136217240 is a wasteful number, since it uses less digits than its factorization.

6130136217240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38612636 (or 38612616 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 6130136217240 in words is "six trillion, one hundred thirty billion, one hundred thirty-six million, two hundred seventeen thousand, two hundred forty".