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130440012010000 = 245471119233710477
BaseRepresentation
bin11101101010001001101110…
…100101001001001000010000
3122002211221110201020100212221
4131222021232211021020100
5114044112121033310000
61141231151514230424
736321660045114040
oct3552115645111020
9562757421210787
10130440012010000
1138620331240990
1212768194125414
1357a25955bc494
14242d48a377720
15101309da4c61a
hex76a26e949210

130440012010000 has 1600 divisors, whose sum is σ = 444208831672320. Its totient is φ = 35843005440000.

The previous prime is 130440012009973. The next prime is 130440012010051. The reversal of 130440012010000 is 10210044031.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 12450124762 + ... + 12450135238.

Almost surely, 2130440012010000 is an apocalyptic number.

130440012010000 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 130440012010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222104415836160).

130440012010000 is an abundant number, since it is smaller than the sum of its proper divisors (313768819662320).

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

130440012010000 is a wasteful number, since it uses less digits than its factorization.

130440012010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10602 (or 10581 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 130440012010000 its reverse (10210044031), we get a palindrome (130450222054031).

The spelling of 130440012010000 in words is "one hundred thirty trillion, four hundred forty billion, twelve million, ten thousand".