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149880326400 = 2834527103401
BaseRepresentation
bin1000101110010110010…
…0000100100100000000
3112022212102021110120000
42023211210010210000
54423423330421100
6152504251320000
713554113516430
oct2134544044400
9468772243500
10149880326400
115862259a652
122506a750000
131119783ac8c
14737b91c2c0
153d73340900
hex22e5904900

149880326400 has 1080 divisors, whose sum is σ = 641087551104. Its totient is φ = 33841152000.

The previous prime is 149880326377. The next prime is 149880326417. The reversal of 149880326400 is 4623088941.

It is a happy number.

149880326400 is a `hidden beast` number, since 149 + 8 + 80 + 3 + 26 + 400 = 666.

149880326400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a super-2 number, since 2×1498803264002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 373766200 + ... + 373766600.

Almost surely, 2149880326400 is an apocalyptic number.

149880326400 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 149880326400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320543775552).

149880326400 is an abundant number, since it is smaller than the sum of its proper divisors (491207224704).

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

149880326400 is a wasteful number, since it uses less digits than its factorization.

149880326400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 549 (or 521 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 149880326400 in words is "one hundred forty-nine billion, eight hundred eighty million, three hundred twenty-six thousand, four hundred".