Search a number
-
+
444323226360 = 233513641444341
BaseRepresentation
bin1100111011100111011…
…10100110001011111000
31120110212122112120011010
412131303232212023320
524234433221220420
6540041432433520
744046513052206
oct6356356461370
91513778476133
10444323226360
11161488972392
1272142b488a0
1332b90282bc0
14177109c2076
15b857c014e0
hex6773ba62f8

444323226360 has 128 divisors (see below), whose sum is σ = 1437748522560. Its totient is φ = 109200998400.

The previous prime is 444323226359. The next prime is 444323226397. The reversal of 444323226360 is 63622323444.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 777790 + ... + 1222130.

Almost surely, 2444323226360 is an apocalyptic number.

444323226360 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 444323226360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (718874261280).

444323226360 is an abundant number, since it is smaller than the sum of its proper divisors (993425296200).

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

444323226360 is a wasteful number, since it uses less digits than its factorization.

444323226360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445009 (or 445005 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 39.

The spelling of 444323226360 in words is "four hundred forty-four billion, three hundred twenty-three million, two hundred twenty-six thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 260 312 390 520 641 780 1282 1560 1923 2564 3205 3846 5128 6410 7692 8333 9615 12820 15384 16666 19230 24999 25640 33332 38460 41665 49998 66664 76920 83330 99996 124995 166660 199992 249990 333320 444341 499980 888682 999960 1333023 1777364 2221705 2666046 3554728 4443410 5332092 5776433 6665115 8886820 10664184 11552866 13330230 17329299 17773640 23105732 26660460 28882165 34658598 46211464 53320920 57764330 69317196 86646495 115528660 138634392 173292990 231057320 284822581 346585980 569645162 693171960 854467743 1139290324 1424112905 1708935486 2278580648 2848225810 3417870972 3702693553 4272338715 5696451620 6835741944 7405387106 8544677430 11108080659 11392903240 14810774212 17089354860 18513467765 22216161318 29621548424 34178709720 37026935530 44432322636 55540403295 74053871060 88864645272 111080806590 148107742120 222161613180 444323226360