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130400143413440 = 265702015804767
BaseRepresentation
bin11101101001100100100110…
…001110100001000011000000
3122002201010120012102211000112
4131221210212032201003000
5114042433443203212230
61141200555432010452
736316046054460455
oct3551444616410300
9562633505384015
10130400143413440
113860543248322a
1212760508230a28
13579b8b0827444
14242b58741382c
15101201886ed95
hex7699263a10c0

130400143413440 has 56 divisors (see below), whose sum is σ = 310519818229632. Its totient is φ = 52159305369600.

The previous prime is 130400143413427. The next prime is 130400143413467. The reversal of 130400143413440 is 44314341004031.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 130400143413397 and 130400143413406.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19561937 + ... + 25366703.

Almost surely, 2130400143413440 is an apocalyptic number.

130400143413440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130400143413440 is an abundant number, since it is smaller than the sum of its proper divisors (180119674816192).

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

130400143413440 is an equidigital number, since it uses as much as digits as its factorization.

130400143413440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5874985 (or 5874975 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 130400143413440 its reverse (44314341004031), we get a palindrome (174714484417471).

The spelling of 130400143413440 in words is "one hundred thirty trillion, four hundred billion, one hundred forty-three million, four hundred thirteen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 70201 140402 280804 351005 561608 702010 1123216 1404020 2246432 2808040 4492864 5616080 5804767 11232160 11609534 22464320 23219068 29023835 46438136 58047670 92876272 116095340 185752544 232190680 371505088 464381360 928762720 1857525440 407500448167 815000896334 1630001792668 2037502240835 3260003585336 4075004481670 6520007170672 8150008963340 13040014341344 16300017926680 26080028682688 32600035853360 65200071706720 130400143413440