Search a number
-
+
2142238318336 = 2837475390793
BaseRepresentation
bin11111001011000111010…
…110101001111100000000
321120210111021100002020101
4133023013112221330000
5240044301002141321
64320044121452144
7310525443155554
oct37130726517400
97523437302211
102142238318336
11756577756696
122a721b341054
13127020a82c8c
1475983491864
153aad0489791
hex1f2c75a9f00

2142238318336 has 144 divisors (see below), whose sum is σ = 4569794216064. Its totient is φ = 1000739930112.

The previous prime is 2142238318313. The next prime is 2142238318361. The reversal of 2142238318336 is 6338138322412.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23549356 + ... + 23640148.

It is an arithmetic number, because the mean of its divisors is an integer number (31734682056).

Almost surely, 22142238318336 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 2142238318336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2284897108032).

2142238318336 is an abundant number, since it is smaller than the sum of its proper divisors (2427555897728).

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

2142238318336 is an equidigital number, since it uses as much as digits as its factorization.

2142238318336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90946 (or 90932 counting only the distinct ones).

The product of its digits is 995328, while the sum is 46.

The spelling of 2142238318336 in words is "two trillion, one hundred forty-two billion, two hundred thirty-eight million, three hundred eighteen thousand, three hundred thirty-six".

Divisors: 1 2 4 8 16 32 37 47 53 64 74 94 106 128 148 188 212 256 296 376 424 592 752 848 1184 1504 1696 1739 1961 2368 2491 3008 3392 3478 3922 4736 4982 6016 6784 6956 7844 9472 9964 12032 13568 13912 15688 19928 27824 31376 39856 55648 62752 79712 90793 92167 111296 125504 159424 181586 184334 222592 251008 318848 363172 368668 445184 502016 637696 726344 737336 1452688 1474672 2905376 2949344 3359341 4267271 4812029 5810752 5898688 6718682 8534542 9624058 11621504 11797376 13437364 17069084 19248116 23243008 23594752 26874728 34138168 38496232 53749456 68276336 76992464 107498912 136552672 153984928 157889027 178045073 214997824 226165363 273105344 307969856 315778054 356090146 429995648 452330726 546210688 615939712 631556108 712180292 859991296 904661452 1092421376 1231879424 1263112216 1424360584 1809322904 2526224432 2848721168 3618645808 5052448864 5697442336 7237291616 8368118431 10104897728 11394884672 14474583232 16736236862 20209795456 22789769344 28949166464 33472473724 40419590912 45579538688 57898332928 66944947448 133889894896 267779789792 535559579584 1071119159168 2142238318336