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3140978148 = 22377114663
BaseRepresentation
bin1011101100110111…
…1000010111100100
322002220022020000000
42323031320113210
522413042300043
61235402021300
7140556605460
oct27315702744
98086266000
103140978148
111372000410
12737aa7830
133b0974b69
1421b2234a0
15135b402d3
hexbb3785e4

3140978148 has 192 divisors, whose sum is σ = 10280202240. Its totient is φ = 815663520.

The previous prime is 3140978147. The next prime is 3140978149. The reversal of 3140978148 is 8418790413.

It is a happy number.

3140978148 is a `hidden beast` number, since 31 + 409 + 78 + 148 = 666.

It is an interprime number because it is at equal distance from previous prime (3140978147) and next prime (3140978149).

It is a super-3 number, since 3×31409781483 (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3140978147) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 671265 + ... + 675927.

It is an arithmetic number, because the mean of its divisors is an integer number (53542720).

Almost surely, 23140978148 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3140978148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5140101120).

3140978148 is an abundant number, since it is smaller than the sum of its proper divisors (7139224092).

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

3140978148 is a wasteful number, since it uses less digits than its factorization.

3140978148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4706 (or 4686 counting only the distinct ones).

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

The square root of 3140978148 is about 56044.4301246788. The cubic root of 3140978148 is about 1464.4963883792.

The spelling of 3140978148 in words is "three billion, one hundred forty million, nine hundred seventy-eight thousand, one hundred forty-eight".