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142995906468 = 22336122439677
BaseRepresentation
bin1000010100101100111…
…0000101111110100100
3111200002122000200211000
42011023032011332210
54320323423001333
6145405202313300
713221400102332
oct2051316057644
9450078020730
10142995906468
115570a508aa8
1223869058830
131063b47220c
146cc748ab52
153abdc57713
hex214b385fa4

142995906468 has 96 divisors (see below), whose sum is σ = 377014619520. Its totient is φ = 46858158720.

The previous prime is 142995906467. The next prime is 142995906499. The reversal of 142995906468 is 864609599241.

142995906468 is a `hidden beast` number, since 1 + 429 + 9 + 5 + 90 + 64 + 68 = 666.

It is not an unprimeable number, because it can be changed into a prime (142995906467) 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, 14772046 + ... + 14781722.

It is an arithmetic number, because the mean of its divisors is an integer number (3927235620).

Almost surely, 2142995906468 is an apocalyptic number.

142995906468 is a gapful number since it is divisible by the number (18) 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 142995906468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188507309760).

142995906468 is an abundant number, since it is smaller than the sum of its proper divisors (234018713052).

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

142995906468 is a wasteful number, since it uses less digits than its factorization.

142995906468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11994 (or 11986 counting only the distinct ones).

The product of its (nonzero) digits is 33592320, while the sum is 63.

The spelling of 142995906468 in words is "one hundred forty-two billion, nine hundred ninety-five million, nine hundred six thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 61 108 122 183 244 366 549 732 1098 1647 2196 2243 3294 4486 6588 6729 8972 9677 13458 19354 20187 26916 29031 38708 40374 58062 60561 80748 87093 116124 121122 136823 174186 242244 261279 273646 348372 410469 522558 547292 590297 820938 1045116 1180594 1231407 1641876 1770891 2361188 2462814 3541782 3694221 4925628 5312673 7083564 7388442 10625346 14776884 15938019 21250692 21705511 31876038 43411022 63752076 65116533 86822044 130233066 195349599 260466132 390699198 586048797 781398396 1172097594 1324036171 2344195188 2648072342 3972108513 5296144684 7944217026 11916325539 15888434052 23832651078 35748976617 47665302156 71497953234 142995906468