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130738378320 = 243351119289603
BaseRepresentation
bin111100111000010011…
…1010101011001010000
3110111110101022202021000
41321300213111121100
54120223011101240
6140021013102000
712305550610554
oct1716047253120
9414411282230
10130738378320
115049a451750
1221408027900
13c436b60594
146483593864
153602ab7430
hex1e709d5650

130738378320 has 320 divisors, whose sum is σ = 517116902400. Its totient is φ = 30025935360.

The previous prime is 130738378319. The next prime is 130738378349. The reversal of 130738378320 is 23873837031.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 306639 + ... + 596241.

It is an arithmetic number, because the mean of its divisors is an integer number (1615990320).

Almost surely, 2130738378320 is an apocalyptic number.

130738378320 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 130738378320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258558451200).

130738378320 is an abundant number, since it is smaller than the sum of its proper divisors (386378524080).

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

130738378320 is a wasteful number, since it uses less digits than its factorization.

130738378320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289655 (or 289643 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 130738378320 in words is "one hundred thirty billion, seven hundred thirty-eight million, three hundred seventy-eight thousand, three hundred twenty".