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130980697323840 = 263357133141131071
BaseRepresentation
bin11101110010000001010001…
…111011111011100101000000
3122011202122002000001011111000
4131302001101323323211000
5114131441432003330330
61142323411321052000
736406020532340640
oct3562012173734500
9564678060034430
10130980697323840
1138809668a858a1
1212834b2a627000
135811571789350
14244b6dcb9c520
1510221963d8560
hex772051efb940

130980697323840 has 1792 divisors, whose sum is σ = 601370583367680. Its totient is φ = 26091528192000.

The previous prime is 130980697323743. The next prime is 130980697323841. The reversal of 130980697323840 is 48323796089031.

130980697323840 is a `hidden beast` number, since 1 + 309 + 8 + 0 + 6 + 97 + 3 + 238 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130980697323841) by changing a digit.

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 255 ways as a sum of consecutive naturals, for example, 999245505 + ... + 999376575.

It is an arithmetic number, because the mean of its divisors is an integer number (335586263040).

Almost surely, 2130980697323840 is an apocalyptic number.

130980697323840 is a gapful number since it is divisible by the number (10) 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 130980697323840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300685291683840).

130980697323840 is an abundant number, since it is smaller than the sum of its proper divisors (470389886043840).

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

130980697323840 is a wasteful number, since it uses less digits than its factorization.

130980697323840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131189 (or 131173 counting only the distinct ones).

The product of its (nonzero) digits is 47029248, while the sum is 63.

The spelling of 130980697323840 in words is "one hundred thirty trillion, nine hundred eighty billion, six hundred ninety-seven million, three hundred twenty-three thousand, eight hundred forty".