Search a number
-
+
149562722400 = 253527131740283
BaseRepresentation
bin1000101101001010100…
…0100000100001100000
3112022001021122111202220
42023102220200201200
54422301024104100
6152412544111040
713543206110310
oct2132250404140
9468037574686
10149562722400
115847a292003
1224ba0305480
1311146ab8510
14734b685440
153d55505aa0
hex22d2a20860

149562722400 has 576 divisors, whose sum is σ = 634432393728. Its totient is φ = 29699112960.

The previous prime is 149562722399. The next prime is 149562722429. The reversal of 149562722400 is 4227265941.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3692659 + ... + 3732941.

It is an arithmetic number, because the mean of its divisors is an integer number (1101445128).

Almost surely, 2149562722400 is an apocalyptic number.

149562722400 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 149562722400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317216196864).

149562722400 is an abundant number, since it is smaller than the sum of its proper divisors (484869671328).

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

149562722400 is a wasteful number, since it uses less digits than its factorization.

149562722400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40343 (or 40330 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The spelling of 149562722400 in words is "one hundred forty-nine billion, five hundred sixty-two million, seven hundred twenty-two thousand, four hundred".