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130741416960 = 21035711110543
BaseRepresentation
bin111100111000011001…
…0111011010000000000
3110111110121001010111020
41321300302323100000
54120224300320320
6140021202145440
712305615464560
oct1716062732000
9414417033436
10130741416960
11504a1137720
1221409052280
13c4376856ab
146483b44da0
153602eb7940
hex1e70cbb400

130741416960 has 352 divisors, whose sum is σ = 521357340672. Its totient is φ = 27166801920.

The previous prime is 130741416947. The next prime is 130741416973. The reversal of 130741416960 is 69614147031.

It is an interprime number because it is at equal distance from previous prime (130741416947) and next prime (130741416973).

It is a tau number, because it is divible by the number of its divisors (352).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1127449 + ... + 1237991.

Almost surely, 2130741416960 is an apocalyptic number.

130741416960 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 130741416960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260678670336).

130741416960 is an abundant number, since it is smaller than the sum of its proper divisors (390615923712).

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

130741416960 is a wasteful number, since it uses less digits than its factorization.

130741416960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110589 (or 110571 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The spelling of 130741416960 in words is "one hundred thirty billion, seven hundred forty-one million, four hundred sixteen thousand, nine hundred sixty".