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1306434226104 = 233272592131401
BaseRepresentation
bin10011000000101101100…
…011000100011110111000
311121220010122111000010200
4103000231203010132320
5132401034130213404
62440100111242200
7163246441461150
oct23005543043670
94556118430120
101306434226104
11464068075527
12191242219360
1396272129217
1447335d0b760
1523eb3c32839
hex1302d8c47b8

1306434226104 has 48 divisors (see below), whose sum is σ = 4043724987120. Its totient is φ = 373266921600.

The previous prime is 1306434226103. The next prime is 1306434226121. The reversal of 1306434226104 is 4016224346031.

1306434226104 is a `hidden beast` number, since 1 + 3 + 0 + 6 + 4 + 34 + 2 + 2 + 610 + 4 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1306434226103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1296065197 + ... + 1296066204.

It is an arithmetic number, because the mean of its divisors is an integer number (84244270565).

Almost surely, 21306434226104 is an apocalyptic number.

1306434226104 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1306434226104 is an abundant number, since it is smaller than the sum of its proper divisors (2737290761016).

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

1306434226104 is a wasteful number, since it uses less digits than its factorization.

1306434226104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2592131420 (or 2592131413 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 1306434226104 in words is "one trillion, three hundred six billion, four hundred thirty-four million, two hundred twenty-six thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 2592131401 5184262802 7776394203 10368525604 15552788406 18144919807 20737051208 23329182609 31105576812 36289839614 46658365218 54434759421 62211153624 72579679228 93316730436 108869518842 145159358456 163304278263 186633460872 217739037684 326608556526 435478075368 653217113052 1306434226104