Search a number
-
+
142226121688 = 2373195946237
BaseRepresentation
bin1000010001110101010…
…1100110001111011000
3111121002222112120121121
42010131111212033120
54312234341343223
6145200543215024
713163332042000
oct2043525461730
9447088476547
10142226121688
1155354a35332
12236932a7474
1310547b3b271
146c53149000
153a7639d15d
hex211d5663d8

142226121688 has 128 divisors (see below), whose sum is σ = 332913600000. Its totient is φ = 56765971584.

The previous prime is 142226121647. The next prime is 142226121727. The reversal of 142226121688 is 886121622241.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3052906 + ... + 3099142.

It is an arithmetic number, because the mean of its divisors is an integer number (2600887500).

Almost surely, 2142226121688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142226121688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166456800000).

142226121688 is an abundant number, since it is smaller than the sum of its proper divisors (190687478312).

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

142226121688 is a wasteful number, since it uses less digits than its factorization.

142226121688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46342 (or 46324 counting only the distinct ones).

The product of its digits is 147456, while the sum is 43.

The spelling of 142226121688 in words is "one hundred forty-two billion, two hundred twenty-six million, one hundred twenty-one thousand, six hundred eighty-eight".

Divisors: 1 2 4 7 8 14 19 28 38 49 56 59 76 98 118 133 152 196 236 266 343 392 413 472 532 686 826 931 1064 1121 1372 1652 1862 2242 2744 2891 3304 3724 4484 5782 6517 7448 7847 8968 11564 13034 15694 20237 23128 26068 31388 40474 46237 52136 54929 62776 80948 92474 109858 161896 184948 219716 323659 369896 384503 439432 647318 769006 878503 1294636 1538012 1757006 2265613 2589272 2727983 3076024 3514012 4531226 5455966 6149521 7028024 9062452 10911932 12299042 15859291 18124904 19095881 21823864 24598084 31718582 38191762 43046647 49196168 51831677 63437164 76383524 86093294 103663354 126874328 133671167 152767048 172186588 207326708 267342334 301326529 344373176 362821739 414653416 534684668 602653058 725643478 935698169 1069369336 1205306116 1451286956 1871396338 2410612232 2539752173 2902573912 3742792676 5079504346 7485585352 10159008692 17778265211 20318017384 35556530422 71113060844 142226121688