Search a number
-
+
142168587444 = 2232131033737907
BaseRepresentation
bin1000010001100111101…
…0000111110010110100
3111120221222021112110200
42010121322013302310
54312130124244234
6145151130120500
713162033024452
oct2043172076264
9446858245420
10142168587444
1155325508a74
1223677b80130
1310538c45730
146c4964d9d2
153a712d5d99
hex2119e87cb4

142168587444 has 144 divisors (see below), whose sum is σ = 391869109632. Its totient is φ = 43197878016.

The previous prime is 142168587419. The next prime is 142168587493. The reversal of 142168587444 is 444785861241.

142168587444 is a `hidden beast` number, since 1 + 4 + 2 + 16 + 8 + 587 + 4 + 44 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17976139 + ... + 17984045.

Almost surely, 2142168587444 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 142168587444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195934554816).

142168587444 is an abundant number, since it is smaller than the sum of its proper divisors (249700522188).

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

142168587444 is a wasteful number, since it uses less digits than its factorization.

142168587444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8406 (or 8401 counting only the distinct ones).

The product of its digits is 6881280, while the sum is 54.

The spelling of 142168587444 in words is "one hundred forty-two billion, one hundred sixty-eight million, five hundred eighty-seven thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 103 117 156 206 234 309 373 412 468 618 746 927 1119 1236 1339 1492 1854 2238 2678 3357 3708 4017 4476 4849 5356 6714 7907 8034 9698 12051 13428 14547 15814 16068 19396 23721 24102 29094 31628 38419 43641 47442 48204 58188 71163 76838 87282 94884 102791 115257 142326 153676 174564 205582 230514 284652 308373 345771 411164 461028 499447 616746 691542 814421 925119 998894 1233492 1383084 1498341 1628842 1850238 1997788 2443263 2949311 2996682 3257684 3700476 4495023 4886526 5898622 5993364 7329789 8847933 8990046 9773052 10587473 11797244 14659578 17695866 17980092 21174946 26543799 29319156 31762419 35391732 38341043 42349892 53087598 63524838 76682086 95287257 106175196 115023129 127049676 153364172 190574514 230046258 303779033 345069387 381149028 460092516 607558066 690138774 911337099 1215116132 1380277548 1822674198 2734011297 3645348396 3949127429 5468022594 7898254858 10936045188 11847382287 15796509716 23694764574 35542146861 47389529148 71084293722 142168587444