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142604100126 = 234171912912111
BaseRepresentation
bin1000010011001111011…
…1011110001000011110
3111122002022202212120000
42010303313132020132
54314023122201001
6145302244435130
713205601564645
oct2046367361036
9448068685500
10142604100126
115552932a104
12237799a8aa6
13105a823c247
146c8b41a35c
153a99661a86
hex2133dde21e

142604100126 has 160 divisors (see below), whose sum is σ = 356587038720. Its totient is φ = 42330988800.

The previous prime is 142604100101. The next prime is 142604100167. The reversal of 142604100126 is 621001406241.

142604100126 is a `hidden beast` number, since 1 + 42 + 604 + 1 + 0 + 0 + 12 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 142604100126.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 67551811 + ... + 67553921.

It is an arithmetic number, because the mean of its divisors is an integer number (2228668992).

Almost surely, 2142604100126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142604100126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178293519360).

142604100126 is an abundant number, since it is smaller than the sum of its proper divisors (213982938594).

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

142604100126 is a wasteful number, since it uses less digits than its factorization.

142604100126 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3452 (or 3443 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 142604100126 its reverse (621001406241), we get a palindrome (763605506367).

The spelling of 142604100126 in words is "one hundred forty-two billion, six hundred four million, one hundred thousand, one hundred twenty-six".

Divisors: 1 2 3 6 9 17 18 19 27 34 38 51 54 57 81 102 114 153 162 171 306 323 342 459 513 646 918 969 1026 1291 1377 1539 1938 2111 2582 2754 2907 3078 3873 4222 5814 6333 7746 8721 11619 12666 17442 18999 21947 23238 24529 26163 34857 35887 37998 40109 43894 49058 52326 56997 65841 69714 71774 73587 80218 104571 107661 113994 120327 131682 147174 170991 197523 209142 215322 220761 240654 322983 341982 360981 395046 416993 441522 592569 645966 662283 681853 721962 833986 968949 1082943 1185138 1250979 1324566 1363706 1777707 1937898 1986849 2045559 2165886 2501958 2725301 2906847 3248829 3555414 3752937 3973698 4091118 5450602 5813694 6136677 6497658 7505874 8175903 11258811 12273354 16351806 18410031 22517622 24527709 33776433 36820062 46330117 49055418 51780719 55230093 67552866 73583127 92660234 103561438 110460186 138990351 147166254 155342157 220749381 277980702 310684314 416971053 441498762 466026471 833942106 880272223 932052942 1250913159 1398079413 1760544446 2501826318 2640816669 2796158826 3752739477 4194238239 5281633338 7505478954 7922450007 8388476478 15844900014 23767350021 47534700042 71302050063 142604100126