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142710311268 = 22337231869909
BaseRepresentation
bin1000010011101000110…
…0101000100101100100
3111122100201121221212000
42010322030220211210
54314232314430033
6145321001125300
713211331426300
oct2047214504544
9448321557760
10142710311268
1155583283108
12237a9489830
13105c4248b85
146c9b586d00
153aa3b41a13
hex213a328964

142710311268 has 144 divisors (see below), whose sum is σ = 444280435200. Its totient is φ = 39459026880.

The previous prime is 142710311257. The next prime is 142710311273. The reversal of 142710311268 is 862113017241.

142710311268 is a `hidden beast` number, since 1 + 427 + 103 + 1 + 126 + 8 = 666.

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

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, 270903 + ... + 599006.

It is an arithmetic number, because the mean of its divisors is an integer number (3085280800).

Almost surely, 2142710311268 is an apocalyptic number.

142710311268 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

142710311268 is an abundant number, since it is smaller than the sum of its proper divisors (301570123932).

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

142710311268 is a wasteful number, since it uses less digits than its factorization.

142710311268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 869967 (or 869952 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 142710311268 in words is "one hundred forty-two billion, seven hundred ten million, three hundred eleven thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 31 36 42 49 54 62 63 84 93 98 108 124 126 147 186 189 196 217 252 279 294 372 378 434 441 558 588 651 756 837 868 882 1116 1302 1323 1519 1674 1764 1953 2604 2646 3038 3348 3906 4557 5292 5859 6076 7812 9114 11718 13671 18228 23436 27342 41013 54684 82026 164052 869909 1739818 2609727 3479636 5219454 6089363 7829181 10438908 12178726 15658362 18268089 23487543 24357452 26967179 31316724 36536178 42625541 46975086 53934358 54804267 73072356 80901537 85251082 93950172 107868716 109608534 127876623 161803074 164412801 170502164 188770253 219217068 242704611 255753246 323606148 328825602 377540506 383629869 485409222 511506492 566310759 657651204 728113833 755081012 767259738 970818444 1132621518 1150889607 1321391771 1456227666 1534519476 1698932277 2265243036 2301779214 2642783542 2912455332 3397864554 3964175313 4603558428 5096796831 5285567084 6795729108 7928350626 10193593662 11892525939 15856701252 20387187324 23785051878 35677577817 47570103756 71355155634 142710311268