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142166115 = 325713149233
BaseRepresentation
bin10000111100101…
…00100001100011
3100220111210020200
420132110201203
5242343303430
622035040243
73344251320
oct1036244143
9326453220
10142166115
1173281563
123b740083
13235b8280
1414c49b47
15c733460
hex8794863

142166115 has 96 divisors (see below), whose sum is σ = 306633600. Its totient is φ = 59332608.

The previous prime is 142166111. The next prime is 142166119. The reversal of 142166115 is 511661241.

142166115 is a `hidden beast` number, since 1 + 42 + 1 + 6 + 611 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (142166111) and next prime (142166119).

It is not a de Polignac number, because 142166115 - 22 = 142166111 is a prime.

It is a super-2 number, since 2×1421661152 = 40422408508386450, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (142166111) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 610039 + ... + 610271.

It is an arithmetic number, because the mean of its divisors is an integer number (3194100).

Almost surely, 2142166115 is an apocalyptic number.

142166115 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

142166115 is an abundant number, since it is smaller than the sum of its proper divisors (164467485).

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

142166115 is a wasteful number, since it uses less digits than its factorization.

142166115 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413 (or 410 counting only the distinct ones).

The product of its digits is 1440, while the sum is 27.

The square root of 142166115 is about 11923.3432811439. The cubic root of 142166115 is about 521.9137017685.

The spelling of 142166115 in words is "one hundred forty-two million, one hundred sixty-six thousand, one hundred fifteen".

Divisors: 1 3 5 7 9 13 15 21 35 39 45 63 65 91 105 117 149 195 233 273 315 447 455 585 699 745 819 1043 1165 1341 1365 1631 1937 2097 2235 3029 3129 3495 4095 4893 5215 5811 6705 8155 9087 9387 9685 10485 13559 14679 15145 15645 17433 21203 24465 27261 29055 34717 40677 45435 46935 63609 67795 73395 87165 104151 106015 122031 136305 173585 190827 203385 243019 312453 318045 451321 520755 610155 729057 954135 1215095 1353963 1562265 2187171 2256605 3159247 3645285 4061889 6769815 9477741 10935855 15796235 20309445 28433223 47388705 142166115