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142016676201 = 321256172
BaseRepresentation
bin1000010001000011011…
…0101000000101101001
3111120120101102122102100
42010100312220011221
54311322232114301
6145124102124013
713155206554521
oct2042066500551
9446511378370
10142016676201
1155257790894
1223635120609
131051362791a
146c333c8681
153a62cca286
hex2110da8169

142016676201 has 9 divisors (see below), whose sum is σ = 205136831991. Its totient is φ = 94677030432.

The previous prime is 142016676187. The next prime is 142016676209. The reversal of 142016676201 is 102676610241.

The square root of 142016676201 is 376851.

It is a perfect power (a square), and thus also a powerful number.

142016676201 is a `hidden beast` number, since 1 + 4 + 20 + 1 + 6 + 6 + 7 + 620 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 9392517225 + 132624158976 = 96915^2 + 364176^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 142016676201 - 231 = 139869192553 is a prime.

It is not an unprimeable number, because it can be changed into a prime (142016676209) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1067745 + ... + 1193361.

Almost surely, 2142016676201 is an apocalyptic number.

142016676201 is the 376851-st square number.

142016676201 is the 188426-th centered octagonal number.

It is an amenable number.

142016676201 is a deficient number, since it is larger than the sum of its proper divisors (63120155790).

142016676201 is an frugal number, since it uses more digits than its factorization.

142016676201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251240 (or 125620 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

Multiplying 142016676201 by its sum of digits (36), we get a square (5112600343236 = 22611062).

The spelling of 142016676201 in words is "one hundred forty-two billion, sixteen million, six hundred seventy-six thousand, two hundred one".

Divisors: 1 3 9 125617 376851 1130553 15779630689 47338892067 142016676201