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2234144414322 = 2321713952526083
BaseRepresentation
bin100000100000101101011…
…000100101101001110010
321220120201100212111111100
4200200231120211221302
5243101011432224242
64430203552225230
7320261116121352
oct40405530455162
97816640774440
102234144414322
1179154a306917
12300baa53b216
131328a97616b2
147a1c15a2b62
153d1add2a54c
hex2082d625a72

2234144414322 has 48 divisors (see below), whose sum is σ = 5162263535520. Its totient is φ = 695865534336.

The previous prime is 2234144414321. The next prime is 2234144414329.

2234144414322 is a `hidden beast` number, since 2 + 234 + 1 + 4 + 4 + 414 + 3 + 2 + 2 = 666.

2234144414322 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (2234144414321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26220508 + ... + 26305575.

It is an arithmetic number, because the mean of its divisors is an integer number (107547156990).

Almost surely, 22234144414322 is an apocalyptic number.

2234144414322 is an abundant number, since it is smaller than the sum of its proper divisors (2928119121198).

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

2234144414322 is a wasteful number, since it uses less digits than its factorization.

2234144414322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52526247 (or 52526244 counting only the distinct ones).

The product of its digits is 147456, while the sum is 36.

The spelling of 2234144414322 in words is "two trillion, two hundred thirty-four billion, one hundred forty-four million, four hundred fourteen thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 17 18 34 51 102 139 153 278 306 417 834 1251 2363 2502 4726 7089 14178 21267 42534 52526083 105052166 157578249 315156498 472734747 892943411 945469494 1785886822 2678830233 5357660466 7301125537 8036490699 14602251074 16072981398 21903376611 43806753222 65710129833 124119134129 131420259666 248238268258 372357402387 744714804774 1117072207161 2234144414322