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142622112 = 25317281311
BaseRepresentation
bin10001000000000…
…11110110100000
3100221100221202110
420200003312200
5243002401422
622052515320
73351160623
oct1040036640
9327327673
10142622112
1173563116
123b91bb40
13237179a9
1414d27dba
15c7c360c
hex8803da0

142622112 has 96 divisors (see below), whose sum is σ = 399095424. Its totient is φ = 44441600.

The previous prime is 142622101. The next prime is 142622141. The reversal of 142622112 is 211226241.

142622112 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 458437 + ... + 458747.

It is an arithmetic number, because the mean of its divisors is an integer number (4157244).

Almost surely, 2142622112 is an apocalyptic number.

142622112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142622112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199547712).

142622112 is an abundant number, since it is smaller than the sum of its proper divisors (256473312).

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

142622112 is a wasteful number, since it uses less digits than its factorization.

142622112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 622 (or 614 counting only the distinct ones).

The product of its digits is 384, while the sum is 21.

The square root of 142622112 is about 11942.4499998953. The cubic root of 142622112 is about 522.4711179597.

Adding to 142622112 its reverse (211226241), we get a palindrome (353848353).

The spelling of 142622112 in words is "one hundred forty-two million, six hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 272 281 311 408 544 562 622 816 843 933 1124 1244 1632 1686 1866 2248 2488 3372 3732 4496 4777 4976 5287 6744 7464 8992 9554 9952 10574 13488 14331 14928 15861 19108 21148 26976 28662 29856 31722 38216 42296 57324 63444 76432 84592 87391 114648 126888 152864 169184 174782 229296 253776 262173 349564 458592 507552 524346 699128 1048692 1398256 1485647 2097384 2796512 2971294 4194768 4456941 5942588 8389536 8913882 11885176 17827764 23770352 35655528 47540704 71311056 142622112