Search a number
-
+
4244331022326 = 2323191110937639
BaseRepresentation
bin111101110000110101110…
…101111100011111110110
3120000202100201121122122100
4331300311311330133312
51024014342220203301
613005452503442530
7615433323301143
oct75606565743766
916022321548570
104244331022326
111397013237aaa
125866b5a56446
1324a31455ba65
141095d8cad3ca
1575611277286
hex3dc35d7c7f6

4244331022326 has 96 divisors (see below), whose sum is σ = 9513057116160. Its totient is φ = 1366206004800.

The previous prime is 4244331022289. The next prime is 4244331022369. The reversal of 4244331022326 is 6232201334424.

4244331022326 is a `hidden beast` number, since 42 + 44 + 331 + 0 + 223 + 26 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 555609615 + ... + 555617253.

It is an arithmetic number, because the mean of its divisors is an integer number (99094344960).

Almost surely, 24244331022326 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4244331022326, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4756528558080).

4244331022326 is an abundant number, since it is smaller than the sum of its proper divisors (5268726093834).

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

4244331022326 is a wasteful number, since it uses less digits than its factorization.

4244331022326 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9682 (or 9679 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

The spelling of 4244331022326 in words is "four trillion, two hundred forty-four billion, three hundred thirty-one million, twenty-two thousand, three hundred twenty-six".

Divisors: 1 2 3 6 9 18 31 62 93 186 279 558 911 1093 1822 2186 2733 3279 5466 6558 7639 8199 9837 15278 16398 19674 22917 28241 33883 45834 56482 67766 68751 84723 101649 137502 169446 203298 236809 254169 304947 473618 508338 609894 710427 995723 1420854 1991446 2131281 2987169 4262562 5974338 6959129 8349427 8961507 13918258 16698854 17923014 20877387 25048281 30867413 41754774 50096562 61734826 62632161 75144843 92602239 125264322 150289686 185204478 215732999 258832237 277806717 431465998 517664474 555613434 647198997 776496711 1294397994 1552993422 1941596991 2329490133 3883193982 4658980266 7606327997 15212655994 22818983991 45637967982 68456951973 136913903946 235796167907 471592335814 707388503721 1414777007442 2122165511163 4244331022326