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148941711360 = 2113451319727
BaseRepresentation
bin1000101010110110011…
…1100010100000000000
3112020110000002212210000
42022231213202200000
54420013034230420
6152231201440000
713521625441431
oct2125547424000
9466400085700
10148941711360
1158190793242
1224a48340000
1311078244270
1472ccdcd488
153d1ac37690
hex22ad9e2800

148941711360 has 960 divisors, whose sum is σ = 606010204800. Its totient is φ = 34685190144.

The previous prime is 148941711343. The next prime is 148941711419. The reversal of 148941711360 is 63117149841.

148941711360 is a `hidden beast` number, since 1 + 489 + 41 + 71 + 1 + 3 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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 79 ways as a sum of consecutive naturals, for example, 204871317 + ... + 204872043.

It is an arithmetic number, because the mean of its divisors is an integer number (631260630).

Almost surely, 2148941711360 is an apocalyptic number.

148941711360 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 148941711360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303005102400).

148941711360 is an abundant number, since it is smaller than the sum of its proper divisors (457068493440).

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

148941711360 is a wasteful number, since it uses less digits than its factorization.

148941711360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 798 (or 769 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 148941711360 in words is "one hundred forty-eight billion, nine hundred forty-one million, seven hundred eleven thousand, three hundred sixty".