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130455352440 = 23335725168749
BaseRepresentation
bin111100101111110111…
…1101011010001111000
3110110201122202112202000
41321133233223101320
54114133032234230
6135532542541000
712265543125330
oct1713757532170
9413648675660
10130455352440
1150364711166
1221349297760
13c3c032684a
146457b5c0c0
1535d7d0cb60
hex1e5fbeb478

130455352440 has 256 divisors, whose sum is σ = 498960000000. Its totient is φ = 29699136000.

The previous prime is 130455352411. The next prime is 130455352457. The reversal of 130455352440 is 44253554031.

130455352440 is a `hidden beast` number, since 1 + 3 + 0 + 45 + 53 + 524 + 40 = 666.

130455352440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1304553524402 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 130455352395 and 130455352404.

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, 1863186 + ... + 1931934.

It is an arithmetic number, because the mean of its divisors is an integer number (1949062500).

Almost surely, 2130455352440 is an apocalyptic number.

130455352440 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 130455352440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249480000000).

130455352440 is an abundant number, since it is smaller than the sum of its proper divisors (368504647560).

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

130455352440 is a wasteful number, since it uses less digits than its factorization.

130455352440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69027 (or 69017 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

The spelling of 130455352440 in words is "one hundred thirty billion, four hundred fifty-five million, three hundred fifty-two thousand, four hundred forty".