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130150603440 = 2433511131967331
BaseRepresentation
bin111100100110110010…
…1001001101010110000
3110102221102022200201000
41321031211021222300
54113022023302230
6135442415042000
712255152606304
oct1711545115260
9412842280630
10130150603440
1150218693790
1221283210300
13c3721552b0
1464294add04
1535bb1b1b60
hex1e4d949ab0

130150603440 has 1280 divisors, whose sum is σ = 564363878400. Its totient is φ = 27097804800.

The previous prime is 130150603411. The next prime is 130150603489. The reversal of 130150603440 is 44306051031.

130150603440 is a `hidden beast` number, since 1 + 3 + 0 + 1 + 50 + 603 + 4 + 4 + 0 = 666.

It is a super-3 number, since 3×1301506034403 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 393204075 + ... + 393204405.

It is an arithmetic number, because the mean of its divisors is an integer number (440909280).

Almost surely, 2130150603440 is an apocalyptic number.

130150603440 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 130150603440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282181939200).

130150603440 is an abundant number, since it is smaller than the sum of its proper divisors (434213274960).

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

130150603440 is a wasteful number, since it uses less digits than its factorization.

130150603440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 463 (or 451 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 130150603440 its reverse (44306051031), we get a palindrome (174456654471).

The spelling of 130150603440 in words is "one hundred thirty billion, one hundred fifty million, six hundred three thousand, four hundred forty".