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214300222400142 = 2321131669346318229
BaseRepresentation
bin110000101110011110101000…
…101000011010011010001110
31001002202220022221222010201100
4300232132220220122122032
5211042043323413301032
62035440055120323530
763065452200201534
oct6056365050323216
91032686287863640
10214300222400142
11623122398277aa
122005099aa735a6
13927656913c738
143acc286968154
1519b9691e2c97c
hexc2e7a8a1a68e

214300222400142 has 96 divisors (see below), whose sum is σ = 468867879230400. Its totient is φ = 70734518701056.

The previous prime is 214300222400111. The next prime is 214300222400179. The reversal of 214300222400142 is 241004222003412.

It is a happy number.

214300222400142 is a `hidden beast` number, since 2 + 1 + 4 + 30 + 0 + 222 + 400 + 1 + 4 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11755996284 + ... + 11756014512.

It is an arithmetic number, because the mean of its divisors is an integer number (4884040408650).

Almost surely, 2214300222400142 is an apocalyptic number.

214300222400142 is an abundant number, since it is smaller than the sum of its proper divisors (254567656830258).

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

214300222400142 is a wasteful number, since it uses less digits than its factorization.

214300222400142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23482 (or 23479 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 214300222400142 its reverse (241004222003412), we get a palindrome (455304444403554).

The spelling of 214300222400142 in words is "two hundred fourteen trillion, three hundred billion, two hundred twenty-two million, four hundred thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 18 113 226 339 678 1017 1669 2034 3338 3463 5007 6926 10014 10389 15021 18229 20778 30042 31167 36458 54687 62334 109374 164061 188597 328122 377194 391319 565791 782638 1131582 1173957 1697373 2059877 2347914 3394746 3521871 4119754 5779747 6179631 7043742 11559494 12359262 17339241 18538893 30424201 34678482 37077786 52017723 60848402 63127027 91272603 104035446 126254054 182545206 189381081 273817809 378762162 547635618 568143243 653111411 1136286486 1306222822 1959334233 3437934713 3918668466 5878002699 6875869426 7133354051 10313804139 11756005398 14266708102 20627608278 21400062153 30941412417 42800124306 61882824834 64200186459 105359008063 128400372918 210718016126 316077024189 632154048378 948231072567 1896462145134 11905567911119 23811135822238 35716703733357 71433407466714 107150111200071 214300222400142