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149420868480 = 2734513221719
BaseRepresentation
bin1000101100101000101…
…1011000001110000000
3112021200101201120210000
42023022023120032000
54422003220242410
6152350515440000
713536534266112
oct2131213301600
9467611646700
10149420868480
1158407204064
1224b608b6000
13111235ac3a0
1473368bb3b2
153d47d34dc0
hex22ca2d8380

149420868480 has 320 divisors, whose sum is σ = 574658330400. Its totient is φ = 36780355584.

The previous prime is 149420868449. The next prime is 149420868491. The reversal of 149420868480 is 84868024941.

It is a happy number.

149420868480 is a `hidden beast` number, since 1 + 49 + 42 + 0 + 86 + 8 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 563061 + ... + 784779.

Almost surely, 2149420868480 is an apocalyptic number.

149420868480 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 149420868480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287329165200).

149420868480 is an abundant number, since it is smaller than the sum of its proper divisors (425237461920).

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

149420868480 is a wasteful number, since it uses less digits than its factorization.

149420868480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221763 (or 221742 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 54.

The spelling of 149420868480 in words is "one hundred forty-nine billion, four hundred twenty million, eight hundred sixty-eight thousand, four hundred eighty".