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2142311344304 = 242947821119653
BaseRepresentation
bin11111001011001011101…
…101001110100010110000
321120210200100202012000212
4133023023231032202300
5240044423201004204
64320055251003252
7310530320654345
oct37131355164260
97523610665025
102142311344304
117566049a412a
122a723b899528
13127032c40c01
147598d0607cc
153aad6ab1c6e
hex1f2cbb4e8b0

2142311344304 has 80 divisors (see below), whose sum is σ = 4390593448320. Its totient is φ = 1010973250560.

The previous prime is 2142311344291. The next prime is 2142311344361. The reversal of 2142311344304 is 4034431132412.

It is a super-2 number, since 2×21423113443042 (a number of 25 digits) contains 22 as substring.

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, 17844542 + ... + 17964194.

It is an arithmetic number, because the mean of its divisors is an integer number (54882418104).

Almost surely, 22142311344304 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 2142311344304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2195296724160).

2142311344304 is an abundant number, since it is smaller than the sum of its proper divisors (2248282104016).

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

2142311344304 is a wasteful number, since it uses less digits than its factorization.

2142311344304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120558 (or 120552 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 2142311344304 its reverse (4034431132412), we get a palindrome (6176742476716).

The spelling of 2142311344304 in words is "two trillion, one hundred forty-two billion, three hundred eleven million, three hundred forty-four thousand, three hundred four".

Divisors: 1 2 4 8 16 29 47 58 94 116 188 232 376 464 752 821 1363 1642 2726 3284 5452 6568 10904 13136 21808 23809 38587 47618 77174 95236 119653 154348 190472 239306 308696 380944 478612 617392 957224 1119023 1914448 2238046 3469937 4476092 5623691 6939874 8952184 11247382 13879748 17904368 22494764 27759496 44989528 55518992 89979056 98235113 163087039 196470226 326174078 392940452 652348156 785880904 1304696312 1571761808 2609392624 2848818277 4617050311 5697636554 9234100622 11395273108 18468201244 22790546216 36936402488 45581092432 73872804976 133894459019 267788918038 535577836076 1071155672152 2142311344304