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134344403232 = 25313181594739
BaseRepresentation
bin111110100011110001…
…1001110100100100000
3110211202200200210111020
41331013203032210200
54200114131400412
6141414510445440
712464115404664
oct1750743164440
9424680623436
10134344403232
1151a7aa05626
1222053803880
13c88cc6cb30
1467064708a4
15376446918c
hex1f478ce920

134344403232 has 96 divisors (see below), whose sum is σ = 381880175040. Its totient is φ = 41108290560.

The previous prime is 134344403209. The next prime is 134344403251. The reversal of 134344403232 is 232304443431.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 134344403193 and 134344403202.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71482 + ... + 523257.

It is an arithmetic number, because the mean of its divisors is an integer number (3977918490).

Almost surely, 2134344403232 is an apocalyptic number.

134344403232 is a gapful number since it is divisible by the number (12) 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 134344403232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190940087520).

134344403232 is an abundant number, since it is smaller than the sum of its proper divisors (247535771808).

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

134344403232 is a wasteful number, since it uses less digits than its factorization.

134344403232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 594946 (or 594938 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 33.

Adding to 134344403232 its reverse (232304443431), we get a palindrome (366648846663).

The spelling of 134344403232 in words is "one hundred thirty-four billion, three hundred forty-four million, four hundred three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 181 208 312 362 416 543 624 724 1086 1248 1448 2172 2353 2896 4344 4706 5792 7059 8688 9412 14118 17376 18824 28236 37648 56472 75296 112944 225888 594739 1189478 1784217 2378956 3568434 4757912 7136868 7731607 9515824 14273736 15463214 19031648 23194821 28547472 30926428 46389642 57094944 61852856 92779284 107647759 123705712 185558568 215295518 247411424 322943277 371117136 430591036 645886554 742234272 861182072 1291773108 1399420867 1722364144 2583546216 2798841734 3444728288 4198262601 5167092432 5597683468 8396525202 10334184864 11195366936 16793050404 22390733872 33586100808 44781467744 67172201616 134344403232