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3140001120 = 2535101239271
BaseRepresentation
bin1011101100101000…
…1001110101100000
322002211110120202210
42323022021311200
522412320013440
61235325042120
7140545366134
oct27312116540
98084416683
103140001120
1113714a3353
127376b6340
133b06c2239
1421b04b3c4
151359eaa80
hexbb289d60

3140001120 has 192 divisors, whose sum is σ = 10067742720. Its totient is φ = 822528000.

The previous prime is 3140001119. The next prime is 3140001121. The reversal of 3140001120 is 211000413.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3140001119) and next prime (3140001121).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 3140001096 and 3140001105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3140001121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11586585 + ... + 11586855.

It is an arithmetic number, because the mean of its divisors is an integer number (52436160).

Almost surely, 23140001120 is an apocalyptic number.

3140001120 is a gapful number since it is divisible by the number (30) 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 3140001120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5033871360).

3140001120 is an abundant number, since it is smaller than the sum of its proper divisors (6927741600).

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

3140001120 is a wasteful number, since it uses less digits than its factorization.

3140001120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 629 (or 621 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 3140001120 is about 56035.7128981153. The cubic root of 3140001120 is about 1464.3445246077.

Adding to 3140001120 its reverse (211000413), we get a palindrome (3351001533).

The spelling of 3140001120 in words is "three billion, one hundred forty million, one thousand, one hundred twenty".