Search a number
-
+
142959138408 = 23335683116461
BaseRepresentation
bin1000010100100100000…
…1110101011001101000
3111200000001211200112000
42011021001311121220
54320240014412113
6145401410251000
713220442424662
oct2051101653150
9450001750460
10142959138408
11556a0785679
1223858886a60
131063396a778
146cc2639532
153aba8e3373
hex2149075668

142959138408 has 64 divisors (see below), whose sum is σ = 397182004800. Its totient is φ = 47644251840.

The previous prime is 142959138397. The next prime is 142959138431. The reversal of 142959138408 is 804831959241.

It is a happy number.

142959138408 is a `hidden beast` number, since 1 + 4 + 2 + 9 + 591 + 3 + 8 + 40 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1169298 + ... + 1285758.

It is an arithmetic number, because the mean of its divisors is an integer number (6205968825).

Almost surely, 2142959138408 is an apocalyptic number.

142959138408 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

142959138408 is an abundant number, since it is smaller than the sum of its proper divisors (254222866392).

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

142959138408 is a wasteful number, since it uses less digits than its factorization.

142959138408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122159 (or 122149 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 142959138408 in words is "one hundred forty-two billion, nine hundred fifty-nine million, one hundred thirty-eight thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 5683 11366 17049 22732 34098 45464 51147 68196 102294 116461 136392 153441 204588 232922 306882 349383 409176 465844 613764 698766 931688 1048149 1227528 1397532 2096298 2795064 3144447 4192596 6288894 8385192 12577788 25155576 661847863 1323695726 1985543589 2647391452 3971087178 5294782904 5956630767 7942174356 11913261534 15884348712 17869892301 23826523068 35739784602 47653046136 71479569204 142959138408