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142631556564 = 223715746723159
BaseRepresentation
bin1000010011010110000…
…0001101010111010100
3111122011020102210201010
42010311200031113110
54314102134302224
6145305105132220
713206354140610
oct2046540152724
9448136383633
10142631556564
1155542882582
122378702a070
13105b0b33563
146c90d26340
153a9bc86e29
hex213580d5d4

142631556564 has 96 divisors (see below), whose sum is σ = 383609640960. Its totient is φ = 40403855232.

The previous prime is 142631556563. The next prime is 142631556577. The reversal of 142631556564 is 465655136241.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142631556563) 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, 6147217 + ... + 6170375.

It is an arithmetic number, because the mean of its divisors is an integer number (3995933760).

Almost surely, 2142631556564 is an apocalyptic number.

142631556564 is a gapful number since it is divisible by the number (14) 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 142631556564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191804820480).

142631556564 is an abundant number, since it is smaller than the sum of its proper divisors (240978084396).

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

142631556564 is a wasteful number, since it uses less digits than its factorization.

142631556564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23797 (or 23795 counting only the distinct ones).

The product of its digits is 2592000, while the sum is 48.

The spelling of 142631556564 in words is "one hundred forty-two billion, six hundred thirty-one million, five hundred fifty-six thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 157 314 467 471 628 934 942 1099 1401 1868 1884 2198 2802 3269 3297 4396 5604 6538 6594 9807 13076 13188 19614 23159 39228 46318 69477 73319 92636 138954 146638 162113 219957 277908 293276 324226 439914 486339 513233 648452 879828 972678 1026466 1539699 1945356 2052932 3079398 3635963 6158796 7271926 10815253 10907889 14543852 21630506 21815778 25451741 32445759 43261012 43631556 50903482 64891518 75706771 76355223 101806964 129783036 151413542 152710446 227120313 302827084 305420892 454240626 908481252 1697994721 3395989442 5093984163 6791978884 10187968326 11885963047 20375936652 23771926094 35657889141 47543852188 71315778282 142631556564