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142924826916 = 223670012
BaseRepresentation
bin1000010100011011111…
…0111100100100100100
3111122220200021111000000
42011012332330210210
54320202223430131
6145354143021300
713216544661324
oct2050676744444
9448820244000
10142924826916
115568337a973
122384929a830
1310629816201
146cbbc67284
153ab78b6ce6
hex2146fbc924

142924826916 has 63 divisors (see below), whose sum is σ = 375059693953. Its totient is φ = 47634804000.

The previous prime is 142924826911. The next prime is 142924826921. The reversal of 142924826916 is 619628429241.

The square root of 142924826916 is 378054.

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

142924826916 is a `hidden beast` number, since 1 + 4 + 2 + 92 + 482 + 69 + 16 = 666.

It is an interprime number because it is at equal distance from previous prime (142924826911) and next prime (142924826921).

It can be written as a sum of positive squares in only one way, i.e., 60395028516 + 82529798400 = 245754^2 + 287280^2 .

It is a super-2 number, since 2×1429248269162 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (142924826911) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 20411416 + ... + 20418416.

Almost surely, 2142924826916 is an apocalyptic number.

142924826916 is the 378054-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142924826916

142924826916 is an abundant number, since it is smaller than the sum of its proper divisors (232134867037).

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

142924826916 is an frugal number, since it uses more digits than its factorization.

142924826916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14024 (or 7006 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 54.

The spelling of 142924826916 in words is "one hundred forty-two billion, nine hundred twenty-four million, eight hundred twenty-six thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 729 972 1458 2916 7001 14002 21003 28004 42006 63009 84012 126018 189027 252036 378054 567081 756108 1134162 1701243 2268324 3402486 5103729 6804972 10207458 20414916 49014001 98028002 147042003 196056004 294084006 441126009 588168012 882252018 1323378027 1764504036 2646756054 3970134081 5293512108 7940268162 11910402243 15880536324 23820804486 35731206729 47641608972 71462413458 142924826916