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149013708480 = 26335713261239
BaseRepresentation
bin1000101011000111101…
…0001011111011000000
3112020122000120201021000
42022301322023323000
54420140002132410
6152242252532000
713523461423530
oct2126172137300
9466560521230
10149013708480
115821839879a
1224a68481000
131108a131b00
1472d87b14c0
153d22209dc0
hex22b1e8bec0

149013708480 has 1344 divisors, whose sum is σ = 663986073600. Its totient is φ = 30795448320.

The previous prime is 149013708461. The next prime is 149013708523. The reversal of 149013708480 is 84807310941.

It is a happy number.

149013708480 is a `hidden beast` number, since 1 + 4 + 90 + 13 + 70 + 8 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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 191 ways as a sum of consecutive naturals, for example, 623488201 + ... + 623488439.

Almost surely, 2149013708480 is an apocalyptic number.

149013708480 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 149013708480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331993036800).

149013708480 is an abundant number, since it is smaller than the sum of its proper divisors (514972365120).

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

149013708480 is a wasteful number, since it uses less digits than its factorization.

149013708480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 149013708480 in words is "one hundred forty-nine billion, thirteen million, seven hundred eight thousand, four hundred eighty".