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1321120944 = 2432111364157
BaseRepresentation
bin100111010111110…
…1011010010110000
310102001220220020100
41032233223102300
510201201332234
6335032112400
744511225363
oct11657532260
93361826210
101321120944
116188137a0
1230a535700
13180921690
14c765c0da
157aeb3399
hex4ebeb4b0

1321120944 has 120 divisors (see below), whose sum is σ = 4343753232. Its totient is φ = 369538560.

The previous prime is 1321120921. The next prime is 1321120973. The reversal of 1321120944 is 4490211231.

It is a happy number.

It is a super-2 number, since 2×13211209442 = 3490721097350902272, which contains 22 as substring.

It is an unprimeable number.

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, 11487 + ... + 52670.

Almost surely, 21321120944 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 1321120944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2171876616).

1321120944 is an abundant number, since it is smaller than the sum of its proper divisors (3022632288).

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

1321120944 is a wasteful number, since it uses less digits than its factorization.

1321120944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64195 (or 64186 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 1321120944 is about 36347.2274596014. The cubic root of 1321120944 is about 1097.2717358137.

It can be divided in two parts, 1321 and 120944, that added together give a triangular number (122265 = T494).

The spelling of 1321120944 in words is "one billion, three hundred twenty-one million, one hundred twenty thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 11 12 13 16 18 22 24 26 33 36 39 44 48 52 66 72 78 88 99 104 117 132 143 144 156 176 198 208 234 264 286 312 396 429 468 528 572 624 792 858 936 1144 1287 1584 1716 1872 2288 2574 3432 5148 6864 10296 20592 64157 128314 192471 256628 384942 513256 577413 705727 769884 834041 1026512 1154826 1411454 1539768 1668082 2117181 2309652 2502123 2822908 3079536 3336164 4234362 4619304 5004246 5645816 6351543 6672328 7506369 8468724 9174451 9238608 10008492 11291632 12703086 13344656 15012738 16937448 18348902 20016984 25406172 27523353 30025476 33874896 36697804 40033968 50812344 55046706 60050952 73395608 82570059 101624688 110093412 120101904 146791216 165140118 220186824 330280236 440373648 660560472 1321120944