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130714698240 = 2933571959241
BaseRepresentation
bin111100110111100110…
…1000000001000000000
3110111101201202200022000
41321233031000020000
54120200430320430
6140014405344000
712305142413460
oct1715715001000
9414351680260
10130714698240
1150488048535
1221400108000
13c431c8c0b9
14648038bba0
15360098ae60
hex1e6f340200

130714698240 has 1280 divisors, whose sum is σ = 570392064000. Its totient is φ = 27709931520.

The previous prime is 130714698209. The next prime is 130714698241. The reversal of 130714698240 is 42896417031.

130714698240 is a `hidden beast` number, since 1 + 3 + 0 + 71 + 469 + 82 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (130714698241) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 542384520 + ... + 542384760.

It is an arithmetic number, because the mean of its divisors is an integer number (445618800).

Almost surely, 2130714698240 is an apocalyptic number.

130714698240 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 130714698240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285196032000).

130714698240 is an abundant number, since it is smaller than the sum of its proper divisors (439677365760).

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

130714698240 is a wasteful number, since it uses less digits than its factorization.

130714698240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 130714698240 in words is "one hundred thirty billion, seven hundred fourteen million, six hundred ninety-eight thousand, two hundred forty".