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134476615314 = 23329199431521
BaseRepresentation
bin111110100111101101…
…1100100111010010010
3110212002220110212101000
41331033123210322102
54200402003142224
6141435552322430
712500312240646
oct1751733447222
9425086425330
10134476615314
11520385a8508
122208bb43416
13c8b1481432
146719c48c26
153770d830c9
hex1f4f6e4e92

134476615314 has 64 divisors (see below), whose sum is σ = 310695840000. Its totient is φ = 43062243840.

The previous prime is 134476615313. The next prime is 134476615331. The reversal of 134476615314 is 413516674431.

134476615314 is a `hidden beast` number, since 1 + 3 + 44 + 76 + 6 + 1 + 531 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 134476615314.

It is not an unprimeable number, because it can be changed into a prime (134476615313) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 95874 + ... + 527394.

It is an arithmetic number, because the mean of its divisors is an integer number (4854622500).

Almost surely, 2134476615314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134476615314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155347920000).

134476615314 is an abundant number, since it is smaller than the sum of its proper divisors (176219224686).

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

134476615314 is a wasteful number, since it uses less digits than its factorization.

134476615314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431760 (or 431754 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The spelling of 134476615314 in words is "one hundred thirty-four billion, four hundred seventy-six million, six hundred fifteen thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 18 27 29 54 58 87 174 199 261 398 522 597 783 1194 1566 1791 3582 5373 5771 10746 11542 17313 34626 51939 103878 155817 311634 431521 863042 1294563 2589126 3883689 7767378 11651067 12514109 23302134 25028218 37542327 75084654 85872679 112626981 171745358 225253962 257618037 337880943 515236074 675761886 772854111 1545708222 2318562333 2490307691 4637124666 4980615382 7470923073 14941846146 22412769219 44825538438 67238307657 134476615314