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2144356326 = 232726313853
BaseRepresentation
bin111111111010000…
…0100011111100110
312112102222120212200
41333310010133212
513342423400301
6552440555330
7104065504500
oct17764043746
95472876780
102144356326
11a00484712
124ba182b46
1328234b4c8
14164b14d70
15c83c9c86
hex7fd047e6

2144356326 has 72 divisors (see below), whose sum is σ = 5414623344. Its totient is φ = 611543520.

The previous prime is 2144356303. The next prime is 2144356339. The reversal of 2144356326 is 6236534412.

2144356326 is a `hidden beast` number, since 2 + 14 + 4 + 3 + 5 + 632 + 6 = 666.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 554616 + ... + 558468.

It is an arithmetic number, because the mean of its divisors is an integer number (75203102).

Almost surely, 22144356326 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2144356326, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2707311672).

2144356326 is an abundant number, since it is smaller than the sum of its proper divisors (3270267018).

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

2144356326 is a wasteful number, since it uses less digits than its factorization.

2144356326 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4506 (or 4496 counting only the distinct ones).

The product of its digits is 103680, while the sum is 36.

The square root of 2144356326 is about 46307.1951860615. The cubic root of 2144356326 is about 1289.5325762806.

The spelling of 2144356326 in words is "two billion, one hundred forty-four million, three hundred fifty-six thousand, three hundred twenty-six".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 294 441 631 882 1262 1893 3786 3853 4417 5679 7706 8834 11358 11559 13251 23118 26502 26971 30919 34677 39753 53942 61838 69354 79506 80913 92757 161826 185514 188797 242739 278271 377594 485478 556542 566391 1132782 1699173 2431243 3398346 4862486 7293729 14587458 17018701 21881187 34037402 43762374 51056103 102112206 119130907 153168309 238261814 306336618 357392721 714785442 1072178163 2144356326