Search a number
-
+
150143143332 = 223713653210557
BaseRepresentation
bin1000101111010100111…
…0101000110110100100
3112100112201210221121110
42023311032220312210
54424443121041312
6152550320345020
713563454442520
oct2136516506644
9470481727543
10150143143332
1158747987926
1225122775170
131120a11a460
1473a47b2d80
153d8b45743c
hex22f53a8da4

150143143332 has 96 divisors (see below), whose sum is σ = 431842666752. Its totient is φ = 39537363456.

The previous prime is 150143143331. The next prime is 150143143429. The reversal of 150143143332 is 233341341051.

It is a happy number.

150143143332 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1501431433322 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 150143143332.

It is not an unprimeable number, because it can be changed into a prime (150143143331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 607798 + ... + 818354.

It is an arithmetic number, because the mean of its divisors is an integer number (4498361112).

Almost surely, 2150143143332 is an apocalyptic number.

150143143332 is a gapful number since it is divisible by the number (12) 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 150143143332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215921333376).

150143143332 is an abundant number, since it is smaller than the sum of its proper divisors (281699523420).

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

150143143332 is a wasteful number, since it uses less digits than its factorization.

150143143332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211237 (or 211235 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

Adding to 150143143332 its reverse (233341341051), we get a palindrome (383484484383).

The spelling of 150143143332 in words is "one hundred fifty billion, one hundred forty-three million, one hundred forty-three thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 84 91 156 182 273 364 546 653 1092 1306 1959 2612 3918 4571 7836 8489 9142 13713 16978 18284 25467 27426 33956 50934 54852 59423 101868 118846 178269 210557 237692 356538 421114 631671 713076 842228 1263342 1473899 2526684 2737241 2947798 4421697 5474482 5895596 8211723 8843394 10948964 16423446 17686788 19160687 32846892 38321374 57482061 76642748 114964122 137493721 229928244 274987442 412481163 549974884 824962326 962456047 1649924652 1787418373 1924912094 2887368141 3574836746 3849824188 5362255119 5774736282 7149673492 10724510238 11549472564 12511928611 21449020476 25023857222 37535785833 50047714444 75071571666 150143143332