Search a number
-
+
141991805124 = 223213248312
BaseRepresentation
bin1000010000111101011…
…1110000000011000100
3111120111122122001201100
42010033113300003010
54311244400230444
6145121413100100
713154455300221
oct2041727600304
9446448561640
10141991805124
1155244743884
1223628927630
131050b42a300
146c2dd92948
153a60a15e69
hex210f5f00c4

141991805124 has 81 divisors (see below), whose sum is σ = 388737523629. Its totient is φ = 43680742560.

The previous prime is 141991805117. The next prime is 141991805143. The reversal of 141991805124 is 421508199141.

It is a happy number.

The square root of 141991805124 is 376818.

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

141991805124 is a `hidden beast` number, since 1 + 41 + 9 + 91 + 8 + 0 + 512 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 21004704900 + 120987100224 = 144930^2 + 347832^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 141991805124.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 29389389 + ... + 29394219.

Almost surely, 2141991805124 is an apocalyptic number.

141991805124 is the 376818-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141991805124

141991805124 is an abundant number, since it is smaller than the sum of its proper divisors (246745718505).

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

141991805124 is an equidigital number, since it uses as much as digits as its factorization.

141991805124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9698 (or 4849 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 45.

The spelling of 141991805124 in words is "one hundred forty-one billion, nine hundred ninety-one million, eight hundred five thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 169 234 338 468 507 676 1014 1521 2028 3042 4831 6084 9662 14493 19324 28986 43479 57972 62803 86958 125606 173916 188409 251212 376818 565227 753636 816439 1130454 1632878 2260908 2449317 3265756 4898634 7347951 9797268 14695902 23338561 29391804 46677122 70015683 93354244 140031366 210047049 280062732 303401293 420094098 606802586 840188196 910203879 1213605172 1820407758 2730611637 3640815516 3944216809 5461223274 7888433618 10922446548 11832650427 15776867236 23665300854 35497951281 47330601708 70995902562 141991805124