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142345269 = 37116197
BaseRepresentation
bin10000111110000…
…00010000110101
3100220211220000000
420133000100311
5242420022034
622042541513
73345625533
oct1037002065
9326756000
10142345269
1173394120
123b807899
132364b991
1414c95153
15c76b599
hex87c0435

142345269 has 64 divisors (see below), whose sum is σ = 239151360. Its totient is φ = 83980800.

The previous prime is 142345261. The next prime is 142345303. The reversal of 142345269 is 962543241.

It is a happy number.

142345269 is a `hidden beast` number, since 142 + 3 + 452 + 69 = 666.

It is not a de Polignac number, because 142345269 - 23 = 142345261 is a prime.

It is a super-2 number, since 2×1423452692 = 40524351213364722, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142345261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1467429 + ... + 1467525.

It is an arithmetic number, because the mean of its divisors is an integer number (3736740).

Almost surely, 2142345269 is an apocalyptic number.

It is an amenable number.

142345269 is a deficient number, since it is larger than the sum of its proper divisors (96806091).

142345269 is an frugal number, since it uses more digits than its factorization.

142345269 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 172 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 142345269 is about 11930.8536576391. The cubic root of 142345269 is about 522.1328437165.

It can be divided in two parts, 14234 and 5269, that added together give a triangular number (19503 = T197).

The spelling of 142345269 in words is "one hundred forty-two million, three hundred forty-five thousand, two hundred sixty-nine".

Divisors: 1 3 9 11 27 33 61 81 97 99 183 243 291 297 549 671 729 873 891 1067 1647 2013 2187 2619 2673 3201 4941 5917 6039 7857 8019 9603 14823 17751 18117 23571 24057 28809 44469 53253 54351 65087 70713 86427 133407 159759 163053 195261 212139 259281 479277 489159 585783 777843 1437831 1467477 1757349 2333529 4313493 5272047 12940479 15816141 47448423 142345269