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114013454120436 = 223131767794134289
BaseRepresentation
bin11001111011000111010011…
…011011101011010111110100
3112221200120122122112121122010
4121323013103123223113310
5104420444023223323221
61042253020250204220
733005125451620623
oct3173072333532764
9487616578477563
10114013454120436
113336791a587662
12109546a3123670
134b8056557bbb0
1420223d005b6ba
15d2ab41923c76
hex67b1d36eb5f4

114013454120436 has 48 divisors (see below), whose sum is σ = 286497036190400. Its totient is φ = 35080855875072.

The previous prime is 114013454120389. The next prime is 114013454120567. The reversal of 114013454120436 is 634021454310411.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 114013454120394 and 114013454120403.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25510380 + ... + 29644668.

Almost surely, 2114013454120436 is an apocalyptic number.

It is an amenable number.

114013454120436 is an abundant number, since it is smaller than the sum of its proper divisors (172483582069964).

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

114013454120436 is a wasteful number, since it uses less digits than its factorization.

114013454120436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4311088 (or 4311086 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 39.

The spelling of 114013454120436 in words is "one hundred fourteen trillion, thirteen billion, four hundred fifty-four million, one hundred twenty thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 176779 353558 530337 707116 1060674 2121348 2298127 4134289 4596254 6894381 8268578 9192508 12402867 13788762 16537156 24805734 27577524 49611468 53745757 107491514 161237271 214983028 322474542 644949084 730855475131 1461710950262 2192566425393 2923421900524 4385132850786 8770265701572 9501121176703 19002242353406 28503363530109 38004484706812 57006727060218 114013454120436