Search a number
-
+
12143006932 = 22721915232141
BaseRepresentation
bin10110100111100011…
…11001010011010100
31011100021012122222111
423103301321103110
5144332102210212
65324534440404
7606625566400
oct132361712324
934307178874
1012143006932
115171457921
12242a803104
1311b6985704
14832a06100
154b10bcea7
hex2d3c794d4

12143006932 has 72 divisors (see below), whose sum is σ = 26049975840. Its totient is φ = 4924704960.

The previous prime is 12143006923. The next prime is 12143007017. The reversal of 12143006932 is 23960034121.

It is a junction number, because it is equal to n+sod(n) for n = 12143006894 and 12143006903.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5670582 + ... + 5672722.

It is an arithmetic number, because the mean of its divisors is an integer number (361805220).

Almost surely, 212143006932 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12143006932, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13024987920).

12143006932 is an abundant number, since it is smaller than the sum of its proper divisors (13906968908).

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

12143006932 is a wasteful number, since it uses less digits than its factorization.

12143006932 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3701 (or 3692 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 31.

The spelling of 12143006932 in words is "twelve billion, one hundred forty-three million, six thousand, nine hundred thirty-two".

Divisors: 1 2 4 7 14 19 28 38 49 76 98 133 196 266 532 931 1523 1862 2141 3046 3724 4282 6092 8564 10661 14987 21322 28937 29974 40679 42644 57874 59948 74627 81358 104909 115748 149254 162716 202559 209818 284753 298508 405118 419636 569506 810236 1139012 1417913 1993271 2835826 3260743 3986542 5671652 6521486 7973084 13042972 22825201 45650402 61954117 91300804 123908234 159776407 247816468 319552814 433678819 639105628 867357638 1734715276 3035751733 6071503466 12143006932