Search a number
-
+
142546310564 = 227172815771847
BaseRepresentation
bin1000010011000001101…
…1000001010110100100
3111121221022000212011212
42010300123001112210
54313413323414224
6145252422050552
713204300435160
oct2046033012644
9447838025155
10142546310564
11554a9748a39
1223762579a58
1310599287438
146c83895ca0
153a94548d0e
hex21306c15a4

142546310564 has 96 divisors (see below), whose sum is σ = 303626340864. Its totient is φ = 57162792960.

The previous prime is 142546310561. The next prime is 142546310587. The reversal of 142546310564 is 465013645241.

It is not an unprimeable number, because it can be changed into a prime (142546310561) 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, 77176289 + ... + 77178135.

It is an arithmetic number, because the mean of its divisors is an integer number (3162774384).

Almost surely, 2142546310564 is an apocalyptic number.

142546310564 is a gapful number since it is divisible by the number (14) 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 142546310564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151813170432).

142546310564 is an abundant number, since it is smaller than the sum of its proper divisors (161080030300).

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

142546310564 is a wasteful number, since it uses less digits than its factorization.

142546310564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2733 (or 2731 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 41.

The spelling of 142546310564 in words is "one hundred forty-two billion, five hundred forty-six million, three hundred ten thousand, five hundred sixty-four".

Divisors: 1 2 4 7 14 17 28 34 68 119 238 281 476 562 577 1124 1154 1847 1967 2308 3694 3934 4039 4777 7388 7868 8078 9554 9809 12929 16156 19108 19618 25858 31399 33439 39236 51716 62798 66878 68663 125596 133756 137326 162137 219793 274652 324274 439586 519007 648548 879172 1038014 1065719 1134959 2076028 2131438 2269918 2756329 3633049 4262876 4539836 5512658 7266098 7460033 8823119 11025316 14532196 14920066 17646238 18117223 19294303 29840132 35292476 36234446 38588606 61761833 72468892 77177212 123523666 126820561 247047332 253641122 299467039 507282244 598934078 1197868156 2096269273 4192538546 5090939663 8385077092 10181879326 20363758652 35636577641 71273155282 142546310564