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23142113412 = 223112343177269
BaseRepresentation
bin10101100011011000…
…001010000010000100
32012201210222011112120
4111203120022002010
5334343340112122
614344211445540
71446324501255
oct254330120204
965653864476
1023142113412
1198a6135370
12459a2b68b0
13224a659442
141197722b2c
15906a3275c
hex56360a084

23142113412 has 96 divisors (see below), whose sum is σ = 62898232320. Its totient is φ = 6551825280.

The previous prime is 23142113399. The next prime is 23142113417. The reversal of 23142113412 is 21431124132.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (23142113417) 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, 41914 + ... + 219182.

It is an arithmetic number, because the mean of its divisors is an integer number (655189920).

Almost surely, 223142113412 is an apocalyptic number.

23142113412 is a gapful number since it is divisible by the number (22) 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 23142113412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31449116160).

23142113412 is an abundant number, since it is smaller than the sum of its proper divisors (39756118908).

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

23142113412 is a wasteful number, since it uses less digits than its factorization.

23142113412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177353 (or 177351 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

Adding to 23142113412 its reverse (21431124132), we get a palindrome (44573237544).

The spelling of 23142113412 in words is "twenty-three billion, one hundred forty-two million, one hundred thirteen thousand, four hundred twelve".

Divisors: 1 2 3 4 6 11 12 22 23 33 43 44 46 66 69 86 92 129 132 138 172 253 258 276 473 506 516 759 946 989 1012 1419 1518 1892 1978 2838 2967 3036 3956 5676 5934 10879 11868 21758 32637 43516 65274 130548 177269 354538 531807 709076 1063614 1949959 2127228 3899918 4077187 5849877 7622567 7799836 8154374 11699754 12231561 15245134 16308748 22867701 23399508 24463122 30490268 44849057 45735402 48926244 83848237 89698114 91470804 134547171 167696474 175319041 179396228 251544711 269094342 335392948 350638082 503089422 525957123 538188684 701276164 1006178844 1051914246 1928509451 2103828492 3857018902 5785528353 7714037804 11571056706 23142113412