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140412134142 = 23272315135401
BaseRepresentation
bin1000001011000100110…
…1110010001011111110
3111102102120012110111200
42002301031302023332
54300031001243032
6144300543200330
713100354306400
oct2026115621376
9442376173450
10140412134142
1154603a97675
12232678a60a6
1310319091657
146b20270b70
1539bbed047c
hex20b13722fe

140412134142 has 72 divisors (see below), whose sum is σ = 365311956672. Its totient is φ = 38823624000.

The previous prime is 140412134113. The next prime is 140412134171. The reversal of 140412134142 is 241431214041.

140412134142 is a `hidden beast` number, since 1 + 404 + 1 + 213 + 4 + 1 + 42 = 666.

140412134142 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (140412134113) and next prime (140412134171).

It is a super-2 number, since 2×1404121341422 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2540359 + ... + 2595042.

It is an arithmetic number, because the mean of its divisors is an integer number (5073777176).

Almost surely, 2140412134142 is an apocalyptic number.

140412134142 is an abundant number, since it is smaller than the sum of its proper divisors (224899822530).

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

140412134142 is a wasteful number, since it uses less digits than its factorization.

140412134142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5135454 (or 5135444 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 140412134142 its reverse (241431214041), we get a palindrome (381843348183).

The spelling of 140412134142 in words is "one hundred forty billion, four hundred twelve million, one hundred thirty-four thousand, one hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 31 42 49 62 63 93 98 126 147 186 217 279 294 434 441 558 651 882 1302 1519 1953 3038 3906 4557 9114 13671 27342 5135401 10270802 15406203 30812406 35947807 46218609 71895614 92437218 107843421 159197431 215686842 251634649 318394862 323530263 477592293 503269298 647060526 754903947 955184586 1114382017 1432776879 1509807894 2228764034 2264711841 2865553758 3343146051 4529423682 6686292102 7800674119 10029438153 15601348238 20058876306 23402022357 46804044714 70206067071 140412134142