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142324000512342 = 2311291674231105239
BaseRepresentation
bin100000010111000101100011…
…011111100101100101010110
3200122221001010022012202210220
4200113011203133211211112
5122123314023112343332
61222410424311255210
741656366260512625
oct4027054337454526
9618831108182726
10142324000512342
11413922a6a014a0
1213b6741797a506
13615513221bc5c
14272073860d6bc
15116c291c1ad2c
hex8171637e5956

142324000512342 has 128 divisors (see below), whose sum is σ = 323235853516800. Its totient is φ = 41381770550400.

The previous prime is 142324000512341. The next prime is 142324000512373. The reversal of 142324000512342 is 243215000423241.

It is a happy number.

142324000512342 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1423240005123422 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142324000512341) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1352335759 + ... + 1352440997.

It is an arithmetic number, because the mean of its divisors is an integer number (2525280105600).

Almost surely, 2142324000512342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142324000512342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161617926758400).

142324000512342 is an abundant number, since it is smaller than the sum of its proper divisors (180911853004458).

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

142324000512342 is a wasteful number, since it uses less digits than its factorization.

142324000512342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109682.

The product of its (nonzero) digits is 46080, while the sum is 33.

Adding to 142324000512342 its reverse (243215000423241), we get a palindrome (385539000935583).

The spelling of 142324000512342 in words is "one hundred forty-two trillion, three hundred twenty-four billion, five hundred twelve thousand, three hundred forty-two".

Divisors: 1 2 3 6 11 22 29 33 58 66 87 167 174 319 334 501 638 957 1002 1837 1914 3674 4231 4843 5511 8462 9686 11022 12693 14529 25386 29058 46541 53273 93082 105239 106546 122699 139623 159819 210478 245398 279246 315717 319638 368097 631434 706577 736194 1157629 1349689 1413154 2119731 2315258 2699378 3051931 3472887 4049067 4239462 6103862 6945774 7772347 8098134 9155793 15544694 17574913 18311586 20490733 23317041 33571241 35149826 40981466 46634082 52724739 61472199 67142482 100713723 105449478 122944398 193324043 201427446 225398063 386648086 445266209 450796126 509672477 579972129 676194189 890532418 1019344954 1159944258 1335798627 1352388378 1529017431 2671597254 3058034862 4897928299 5606397247 9795856598 11212794494 12912720061 14693784897 16819191741 25825440122 29387569794 33638383482 38738160183 74359456903 77476320366 142039920671 148718913806 223078370709 284079841342 426119762013 446156741418 817954025933 852239524026 1635908051866 2156424250187 2453862077799 4312848500374 4907724155598 6469272750561 12938545501122 23720666752057 47441333504114 71162000256171 142324000512342