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149365228320 = 2532571112710607
BaseRepresentation
bin1000101100011011011…
…1001000001100100000
3112021112112000202211100
42023012313020030200
54421344444301240
6152341211114400
713535260330650
oct2130667101440
9467475022740
10149365228320
1158388860860
1224b46142a00
1311114bcaa09
14732d356360
153d42ee3e30
hex22c6dc8320

149365228320 has 576 divisors, whose sum is σ = 640545325056. Its totient is φ = 30789642240.

The previous prime is 149365228289. The next prime is 149365228339. The reversal of 149365228320 is 23822563941.

149365228320 is a `hidden beast` number, since 1 + 4 + 9 + 365 + 2 + 283 + 2 + 0 = 666.

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

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, 14076457 + ... + 14087063.

It is an arithmetic number, because the mean of its divisors is an integer number (1112057856).

Almost surely, 2149365228320 is an apocalyptic number.

149365228320 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 149365228320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320272662528).

149365228320 is an abundant number, since it is smaller than the sum of its proper divisors (491180096736).

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

149365228320 is a wasteful number, since it uses less digits than its factorization.

149365228320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10773 (or 10762 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 149365228320 in words is "one hundred forty-nine billion, three hundred sixty-five million, two hundred twenty-eight thousand, three hundred twenty".