Search a number
-
+
161243136000 = 2163953
BaseRepresentation
bin1001011000101011010…
…1110000000000000000
3120102012022102000000000
42112022311300000000
510120211220323000
6202024000000000
714435520020262
oct2261265600000
9512168360000
10161243136000
1162423601691
1227300000000
131228898515b
147b38a71b32
1542dab99000
hex258ad70000

161243136000 has 680 divisors, whose sum is σ = 603679471824. Its totient is φ = 42998169600.

The previous prime is 161243135971. The next prime is 161243136011. The reversal of 161243136000 is 631342161.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Jordan-Polya number, since it can be written as (6!)3 ⋅ (3!)3 ⋅ 2!.

161243136000 is a `hidden beast` number, since 1 + 6 + 1 + 2 + 43 + 13 + 600 + 0 = 666.

It is a super-2 number, since 2×1612431360002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 32248627198 + ... + 32248627202.

Almost surely, 2161243136000 is an apocalyptic number.

161243136000 is a gapful number since it is divisible by the number (10) 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 161243136000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301839735912).

161243136000 is an abundant number, since it is smaller than the sum of its proper divisors (442436335824).

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

161243136000 is an frugal number, since it uses more digits than its factorization.

161243136000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 161243136000 its reverse (631342161), we get a palindrome (161874478161).

The spelling of 161243136000 in words is "one hundred sixty-one billion, two hundred forty-three million, one hundred thirty-six thousand".