Search a number
-
+
149822447079204 = 2234439215492
BaseRepresentation
bin100010000100001101000001…
…101111001100111100100100
3201122110212220221022212210000
4202010031001233030330210
5124114142332423013304
61250351252040501300
743362212622631104
oct4204150157147444
9648425827285700
10149822447079204
1143813385570999
121497871647a830
13657a271bb5133
1428dd633617204
15124c35b99b939
hex884341bccf24

149822447079204 has 135 divisors (see below), whose sum is σ = 392813271406017. Its totient is φ = 49794888052512.

The previous prime is 149822447079187. The next prime is 149822447079247. The reversal of 149822447079204 is 402970744228941.

The square root of 149822447079204 is 12240198.

It is a perfect power (a square), and thus also a powerful number.

149822447079204 is a `hidden beast` number, since 1 + 4 + 98 + 2 + 2 + 4 + 470 + 79 + 2 + 0 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 50690156568804 + 99132290510400 = 7119702^2 + 9956520^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 96722043822 + ... + 96722045370.

Almost surely, 2149822447079204 is an apocalyptic number.

149822447079204 is the 12240198-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 149822447079204

149822447079204 is an abundant number, since it is smaller than the sum of its proper divisors (242990824326813).

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

149822447079204 is an frugal number, since it uses more digits than its factorization.

149822447079204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3992 (or 1993 counting only the distinct ones).

The product of its (nonzero) digits is 65028096, while the sum is 63.

The spelling of 149822447079204 in words is "one hundred forty-nine trillion, eight hundred twenty-two billion, four hundred forty-seven million, seventy-nine thousand, two hundred four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 439 878 1317 1549 1756 2634 3098 3951 4647 5268 6196 7902 9294 11853 13941 15804 18588 23706 27882 35559 41823 47412 55764 71118 83646 125469 142236 167292 192721 250938 385442 501876 578163 680011 770884 1156326 1360022 1734489 2040033 2312652 2399401 2720044 3468978 4080066 4798802 5203467 6120099 6937956 7198203 8160132 9597604 10406934 12240198 14396406 15610401 18360297 20813868 21594609 24480396 28792812 31220802 36720594 43189218 55080891 62441604 64783827 73441188 86378436 110161782 129567654 194351481 220323564 259135308 298524829 388702962 597049658 777405924 895574487 1053337039 1194099316 1791148974 2106674078 2686723461 3160011117 3582297948 4213348156 5373446922 6320022234 8060170383 9480033351 10746893844 12640044468 16120340766 18960066702 24180511149 28440100053 32240681532 37920133404 48361022298 56880200106 85320300159 96722044596 113760400212 170640600318 341281200636 462414960121 924829920242 1387244880363 1849659840484 2774489760726 4161734641089 5548979521452 8323469282178 12485203923267 16646938564356 24970407846534 37455611769801 49940815693068 74911223539602 149822447079204