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142089074928 = 24329716760913
BaseRepresentation
bin1000010001010100101…
…0110011100011110000
3111120202102122212210200
42010111022303203300
54311444300344203
6145135205555200
713160046131523
oct2042512634360
9446672585720
10142089074928
1155294640049
1223655415b00
13105256261c8
146c3cc72bba
153a6932b9a3
hex21152b38f0

142089074928 has 120 divisors (see below), whose sum is σ = 404163902688. Its totient is φ = 46593294336.

The previous prime is 142089074903. The next prime is 142089074947. The reversal of 142089074928 is 829470980241.

142089074928 is a `hidden beast` number, since 142 + 0 + 8 + 9 + 0 + 7 + 492 + 8 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2302200 + ... + 2363112.

Almost surely, 2142089074928 is an apocalyptic number.

142089074928 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 142089074928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202081951344).

142089074928 is an abundant number, since it is smaller than the sum of its proper divisors (262074827760).

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

142089074928 is a wasteful number, since it uses less digits than its factorization.

142089074928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61191 (or 61182 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 142089074928 in words is "one hundred forty-two billion, eighty-nine million, seventy-four thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 97 144 167 194 291 334 388 501 582 668 776 873 1002 1164 1336 1503 1552 1746 2004 2328 2672 3006 3492 4008 4656 6012 6984 8016 12024 13968 16199 24048 32398 48597 60913 64796 97194 121826 129592 145791 182739 194388 243652 259184 291582 365478 388776 487304 548217 583164 730956 777552 974608 1096434 1166328 1461912 2192868 2332656 2923824 4385736 5908561 8771472 10172471 11817122 17725683 20344942 23634244 30517413 35451366 40689884 47268488 53177049 61034826 70902732 81379768 91552239 94536976 106354098 122069652 141805464 162759536 183104478 212708196 244139304 283610928 366208956 425416392 488278608 732417912 850832784 986729687 1464835824 1973459374 2960189061 3946918748 5920378122 7893837496 8880567183 11840756244 15787674992 17761134366 23681512488 35522268732 47363024976 71044537464 142089074928