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142100244 = 223411133067
BaseRepresentation
bin10000111100001…
…00011100010100
3100220101102220000
420132010130110
5242334201434
622033411300
73343555266
oct1036043424
9326342800
10142100244
1173237020
123b709b30
13235942b0
1414c2db36
15c71db99
hex8784714

142100244 has 120 divisors (see below), whose sum is σ = 436564128. Its totient is φ = 39735360.

The previous prime is 142100227. The next prime is 142100281. The reversal of 142100244 is 442001241.

142100244 is a `hidden beast` number, since 1 + 421 + 0 + 0 + 244 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 44799 + ... + 47865.

Almost surely, 2142100244 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142100244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218282064).

142100244 is an abundant number, since it is smaller than the sum of its proper divisors (294463884).

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

142100244 is a wasteful number, since it uses less digits than its factorization.

142100244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3107 (or 3096 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 142100244 is about 11920.5806905536. The cubic root of 142100244 is about 521.8330817874.

Adding to 142100244 its reverse (442001241), we get a palindrome (584101485).

The spelling of 142100244 in words is "one hundred forty-two million, one hundred thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 11 12 13 18 22 26 27 33 36 39 44 52 54 66 78 81 99 108 117 132 143 156 162 198 234 286 297 324 351 396 429 468 572 594 702 858 891 1053 1188 1287 1404 1716 1782 2106 2574 3067 3564 3861 4212 5148 6134 7722 9201 11583 12268 15444 18402 23166 27603 33737 36804 39871 46332 55206 67474 79742 82809 101211 110412 119613 134948 159484 165618 202422 239226 248427 303633 331236 358839 404844 438581 478452 496854 607266 717678 877162 910899 993708 1076517 1214532 1315743 1435356 1754324 1821798 2153034 2631486 2732697 3229551 3643596 3947229 4306068 5262972 5465394 6459102 7894458 10930788 11841687 12918204 15788916 23683374 35525061 47366748 71050122 142100244