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130441857480 = 23325112171973127
BaseRepresentation
bin111100101111011110…
…0001100100111001000
3110110200201100221010200
41321132330030213020
54114121103414410
6135531341412200
712265320331404
oct1713674144710
9413621327120
10130441857480
1150358034200
122134486a060
13c3ba5b026c
146456048104
1535d6a443c0
hex1e5ef0c9c8

130441857480 has 1152 divisors, whose sum is σ = 530617651200. Its totient is φ = 27590492160.

The previous prime is 130441857437. The next prime is 130441857493. The reversal of 130441857480 is 84758144031.

130441857480 is a `hidden beast` number, since 1 + 30 + 4 + 41 + 8 + 574 + 8 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1027101177 + ... + 1027101303.

It is an arithmetic number, because the mean of its divisors is an integer number (460605600).

Almost surely, 2130441857480 is an apocalyptic number.

130441857480 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 130441857480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265308825600).

130441857480 is an abundant number, since it is smaller than the sum of its proper divisors (400175793720).

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

130441857480 is a wasteful number, since it uses less digits than its factorization.

130441857480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 130441857480 in words is "one hundred thirty billion, four hundred forty-one million, eight hundred fifty-seven thousand, four hundred eighty".