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2142142041234 = 2313151701259453
BaseRepresentation
bin11111001011000001100…
…111011000110010010010
321120210020120011200212210
4133023001213120302102
5240044101330304414
64320030402132550
7310523163630366
oct37130147306222
97523216150783
102142142041234
11756528378238
122a71b3051156
13127006b43b90
147597478d2a6
153aac6cbce59
hex1f2c19d8c92

2142142041234 has 64 divisors (see below), whose sum is σ = 4651042975488. Its totient is φ = 653819040000.

The previous prime is 2142142041079. The next prime is 2142142041257. The reversal of 2142142041234 is 4321402412412.

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, 8126652 + ... + 8386104.

It is an arithmetic number, because the mean of its divisors is an integer number (72672546492).

Almost surely, 22142142041234 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2142142041234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2325521487744).

2142142041234 is an abundant number, since it is smaller than the sum of its proper divisors (2508900934254).

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

2142142041234 is a wasteful number, since it uses less digits than its factorization.

2142142041234 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260323.

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 2142142041234 its reverse (4321402412412), we get a palindrome (6463544453646).

The spelling of 2142142041234 in words is "two trillion, one hundred forty-two billion, one hundred forty-two million, forty-one thousand, two hundred thirty-four".

Divisors: 1 2 3 6 13 26 39 78 151 302 453 701 906 1402 1963 2103 3926 4206 5889 9113 11778 18226 27339 54678 105851 211702 259453 317553 518906 635106 778359 1376063 1556718 2752126 3372889 4128189 6745778 8256378 10118667 20237334 39177403 78354806 117532209 181876553 235064418 363753106 509306239 545629659 1018612478 1091259318 1527918717 2364395189 3055837434 4728790378 7093185567 14186371134 27463359503 54926719006 82390078509 164780157018 357023673539 714047347078 1071071020617 2142142041234