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142140413304 = 23333725317027
BaseRepresentation
bin1000010001100000111…
…0101001010101111000
3111120220000021010211000
42010120032221111320
54312100421211204
6145144242205000
713161241402221
oct2043016512570
9446800233730
10142140413304
115531061535a
122366a653760
131053315c846
146c459d8248
153a6dabd039
hex21183a9578

142140413304 has 128 divisors (see below), whose sum is σ = 405723628800. Its totient is φ = 46074821760.

The previous prime is 142140413299. The next prime is 142140413321. The reversal of 142140413304 is 403314041241.

142140413304 is a `hidden beast` number, since 1 + 4 + 214 + 0 + 413 + 30 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20224239 + ... + 20231265.

It is an arithmetic number, because the mean of its divisors is an integer number (3169715850).

Almost surely, 2142140413304 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 142140413304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202861814400).

142140413304 is an abundant number, since it is smaller than the sum of its proper divisors (263583215496).

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

142140413304 is a wasteful number, since it uses less digits than its factorization.

142140413304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9610 (or 9600 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 142140413304 its reverse (403314041241), we get a palindrome (545454454545).

The spelling of 142140413304 in words is "one hundred forty-two billion, one hundred forty million, four hundred thirteen thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 37 54 72 74 108 111 148 216 222 296 333 444 666 888 999 1332 1998 2531 2664 3996 5062 7027 7593 7992 10124 14054 15186 20248 21081 22779 28108 30372 42162 45558 56216 60744 63243 68337 84324 91116 93647 126486 136674 168648 182232 187294 189729 252972 259999 273348 280941 374588 379458 505944 519998 546696 561882 749176 758916 779997 842823 1039996 1123764 1517832 1559994 1685646 2079992 2247528 2339991 2528469 3119988 3371292 4679982 5056938 6239976 6742584 7019973 9359964 10113876 14039946 17785337 18719928 20227752 28079892 35570674 53356011 56159784 71141348 106712022 142282696 160068033 213424044 320136066 426848088 480204099 640272132 658057469 960408198 1280544264 1316114938 1920816396 1974172407 2632229876 3841632792 3948344814 5264459752 5922517221 7896689628 11845034442 15793379256 17767551663 23690068884 35535103326 47380137768 71070206652 142140413304