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3191614140 = 2235111329101127
BaseRepresentation
bin1011111000111100…
…0010101010111100
322020102120210112010
42332033002222330
523014023123030
61244411211220
7142043162331
oct27617025274
98212523463
103191614140
111398645a40
12750a46b10
133bb2c38a0
14223c44988
1513a2e36b0
hexbe3c2abc

3191614140 has 384 divisors, whose sum is σ = 11054776320. Its totient is φ = 677376000.

The previous prime is 3191614109. The next prime is 3191614157. The reversal of 3191614140 is 414161913.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 3191614098 and 3191614107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 25130757 + ... + 25130883.

It is an arithmetic number, because the mean of its divisors is an integer number (28788480).

Almost surely, 23191614140 is an apocalyptic number.

3191614140 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 3191614140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5527388160).

3191614140 is an abundant number, since it is smaller than the sum of its proper divisors (7863162180).

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

3191614140 is a wasteful number, since it uses less digits than its factorization.

3191614140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 3191614140 is about 56494.3726401135. The cubic root of 3191614140 is about 1472.3242328608.

It can be divided in two parts, 31916 and 14140, that added together give a triangular number (46056 = T303).

The spelling of 3191614140 in words is "three billion, one hundred ninety-one million, six hundred fourteen thousand, one hundred forty".