Search a number
-
+
142542601560 = 23325616491011
BaseRepresentation
bin1000010011000000110…
…0110111110101011000
3111121221001001102101100
42010300030313311120
54313411401222220
6145252210351400
713204224056562
oct2046014676530
9447831042340
10142542601560
11554a7645347
122376128b560
1310598589168
146c831ac332
153a94064d90
hex2130337d58

142542601560 has 96 divisors (see below), whose sum is σ = 470858010480. Its totient is φ = 37388217600.

The previous prime is 142542601549. The next prime is 142542601573. The reversal of 142542601560 is 65106245241.

142542601560 is a `hidden beast` number, since 1 + 4 + 2 + 5 + 42 + 601 + 5 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3223546 + ... + 3267465.

Almost surely, 2142542601560 is an apocalyptic number.

142542601560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

142542601560 is an abundant number, since it is smaller than the sum of its proper divisors (328315408920).

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

142542601560 is a wasteful number, since it uses less digits than its factorization.

142542601560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6491089 (or 6491082 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 142542601560 in words is "one hundred forty-two billion, five hundred forty-two million, six hundred one thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 61 72 90 120 122 180 183 244 305 360 366 488 549 610 732 915 1098 1220 1464 1830 2196 2440 2745 3660 4392 5490 7320 10980 21960 6491011 12982022 19473033 25964044 32455055 38946066 51928088 58419099 64910110 77892132 97365165 116838198 129820220 155784264 194730330 233676396 259640440 292095495 389460660 395951671 467352792 584190990 778921320 791903342 1168381980 1187855013 1583806684 1979758355 2336763960 2375710026 3167613368 3563565039 3959516710 4751420052 5939275065 7127130078 7919033420 9502840104 11878550130 14254260156 15838066840 17817825195 23757100260 28508520312 35635650390 47514200520 71271300780 142542601560