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9141382134 = 23237101135899
BaseRepresentation
bin10001000001101111…
…00110101111110110
3212121002010022211200
420200313212233312
5122210143212014
64111031313330
7442350315603
oct104067465766
925532108750
109141382134
113971087775
12193151b846
13b28b52771
1462a0d96aa
15387807a09
hex220de6bf6

9141382134 has 48 divisors (see below), whose sum is σ = 20543187600. Its totient is φ = 2935396800.

The previous prime is 9141382127. The next prime is 9141382157. The reversal of 9141382134 is 4312831419.

9141382134 is a `hidden beast` number, since 9 + 141 + 382 + 134 = 666.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 684 + ... + 135215.

It is an arithmetic number, because the mean of its divisors is an integer number (427983075).

Almost surely, 29141382134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9141382134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10271593800).

9141382134 is an abundant number, since it is smaller than the sum of its proper divisors (11401805466).

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

9141382134 is a wasteful number, since it uses less digits than its factorization.

9141382134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136045 (or 136042 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 9141382134 is about 95610.5754297086. The cubic root of 9141382134 is about 2090.9193801610.

The spelling of 9141382134 in words is "nine billion, one hundred forty-one million, three hundred eighty-two thousand, one hundred thirty-four".

Divisors: 1 2 3 6 9 18 37 74 101 111 202 222 303 333 606 666 909 1818 3737 7474 11211 22422 33633 67266 135899 271798 407697 815394 1223091 2446182 5028263 10056526 13725799 15084789 27451598 30169578 41177397 45254367 82354794 90508734 123532191 247064382 507854563 1015709126 1523563689 3047127378 4570691067 9141382134