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23142012144 = 24317139373547
BaseRepresentation
bin10101100011010111…
…110001010011110000
32012201210210000121220
4111203113301103300
5334343323342034
614344205345040
71446323600106
oct254327612360
965653700556
1023142012144
1198a6076279
12459a268180
13224a622314
1411976d7c76
15906a12749
hex5635f14f0

23142012144 has 160 divisors (see below), whose sum is σ = 64043400960. Its totient is φ = 7175540736.

The previous prime is 23142012137. The next prime is 23142012149. The reversal of 23142012144 is 44121024132.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23142012149) 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, 42306879 + ... + 42307425.

It is an arithmetic number, because the mean of its divisors is an integer number (400271256).

Almost surely, 223142012144 is an apocalyptic number.

23142012144 is a gapful number since it is divisible by the number (24) 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 23142012144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32021700480).

23142012144 is an abundant number, since it is smaller than the sum of its proper divisors (40901388816).

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

23142012144 is a wasteful number, since it uses less digits than its factorization.

23142012144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1087 (or 1081 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 23142012144 its reverse (44121024132), we get a palindrome (67263036276).

The spelling of 23142012144 in words is "twenty-three billion, one hundred forty-two million, twelve thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 136 139 204 272 278 373 408 417 547 556 746 816 834 1094 1112 1119 1492 1641 1668 2188 2224 2238 2363 2984 3282 3336 4376 4476 4726 5968 6341 6564 6672 7089 8752 8952 9299 9452 12682 13128 14178 17904 18598 18904 19023 25364 26256 27897 28356 37196 37808 38046 50728 51847 55794 56712 74392 76033 76092 101456 103694 111588 113424 148784 152066 152184 155541 204031 207388 223176 228099 304132 304368 311082 408062 414776 446352 456198 608264 612093 622164 816124 829552 881399 912396 1216528 1224186 1244328 1292561 1632248 1762798 1824792 2448372 2488656 2585122 2644197 3264496 3468527 3525596 3649584 3877683 4896744 5170244 5288394 6937054 7051192 7755366 9793488 10340488 10405581 10576788 13874108 14102384 15510732 20680976 20811162 21153576 27748216 28360309 31021464 41622324 42307152 55496432 56720618 62042928 83244648 85080927 113441236 166489296 170161854 226882472 340323708 453764944 482125253 680647416 964250506 1361294832 1446375759 1928501012 2892751518 3857002024 5785503036 7714004048 11571006072 23142012144