Search a number
-
+
153161821314 = 232157159733937
BaseRepresentation
bin1000111010100100100…
…1111110110010000010
3112122100002222200022200
42032221021332302002
510002133411240224
6154210033214030
714031331000125
oct2165111766202
9478302880280
10153161821314
1159a56945317
1225825701316
131159b641448
1475ad67c3bc
153eb648a5c9
hex23a927ec82

153161821314 has 48 divisors (see below), whose sum is σ = 334183277688. Its totient is φ = 50695497216.

The previous prime is 153161821301. The next prime is 153161821333. The reversal of 153161821314 is 413128161351.

153161821314 is a `hidden beast` number, since 1 + 5 + 3 + 1 + 618 + 2 + 1 + 31 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 138359449089 + 14802372225 = 371967^2 + 121665^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4496154 + ... + 4530090.

Almost surely, 2153161821314 is an apocalyptic number.

153161821314 is an abundant number, since it is smaller than the sum of its proper divisors (181021456374).

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

153161821314 is a wasteful number, since it uses less digits than its factorization.

153161821314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35699 (or 35696 counting only the distinct ones).

The product of its digits is 17280, while the sum is 36.

Adding to 153161821314 its reverse (413128161351), we get a palindrome (566289982665).

The spelling of 153161821314 in words is "one hundred fifty-three billion, one hundred sixty-one million, eight hundred twenty-one thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 18 157 314 471 942 1413 1597 2826 3194 4791 9582 14373 28746 33937 67874 101811 203622 250729 305433 501458 610866 752187 1504374 2256561 4513122 5328109 10656218 15984327 31968654 47952981 54197389 95905962 108394778 162592167 325184334 487776501 975553002 8508990073 17017980146 25526970219 51053940438 76580910657 153161821314