Search a number
-
+
5322000301440 = 27356741371271
BaseRepresentation
bin100110101110001111111…
…1011111111110110000000
3200211210000100111021010120
41031130133323333312000
51144143424034121230
615152520532300240
71056334062110154
oct115343773776600
920753010437116
105322000301440
111772058475969
1271b533171680
132c7b29b1c104
1414582c707064
159368656d310
hex4d71feffd80

5322000301440 has 128 divisors (see below), whose sum is σ = 17217068555520. Its totient is φ = 1398017955840.

The previous prime is 5322000301439. The next prime is 5322000301493. The reversal of 5322000301440 is 441030002235.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 5322000301440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20556996 + ... + 20814275.

It is an arithmetic number, because the mean of its divisors is an integer number (134508348090).

Almost surely, 25322000301440 is an apocalyptic number.

It is an amenable number.

5322000301440 is an abundant number, since it is smaller than the sum of its proper divisors (11895068254080).

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

5322000301440 is a wasteful number, since it uses less digits than its factorization.

5322000301440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41371360 (or 41371348 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

Adding to 5322000301440 its reverse (441030002235), we get a palindrome (5763030303675).

The spelling of 5322000301440 in words is "five trillion, three hundred twenty-two billion, three hundred one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 67 80 96 120 128 134 160 192 201 240 268 320 335 384 402 480 536 640 670 804 960 1005 1072 1340 1608 1920 2010 2144 2680 3216 4020 4288 5360 6432 8040 8576 10720 12864 16080 21440 25728 32160 42880 64320 128640 41371271 82742542 124113813 165485084 206856355 248227626 330970168 413712710 496455252 620569065 661940336 827425420 992910504 1241138130 1323880672 1654850840 1985821008 2482276260 2647761344 2771875157 3309701680 3971642016 4964552520 5295522688 5543750314 6619403360 7943284032 8315625471 9929105040 11087500628 13238806720 13859375785 15886568064 16631250942 19858210080 22175001256 26477613440 27718751570 33262501884 39716420160 41578127355 44350002512 55437503140 66525003768 79432840320 83156254710 88700005024 110875006280 133050007536 166312509420 177400010048 221750012560 266100015072 332625018840 354800020096 443500025120 532200030144 665250037680 887000050240 1064400060288 1330500075360 1774000100480 2661000150720 5322000301440