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6012414140 = 2251739744543
BaseRepresentation
bin1011001100101111…
…00010100010111100
3120112000102021200012
411212113202202330
544303134223030
62432334522352
7301664451125
oct54627424274
916460367605
106012414140
11260593a807
1211b96663b8
1374a824405
1441072104c
15252c8b095
hex1665e28bc

6012414140 has 48 divisors (see below), whose sum is σ = 13402755072. Its totient is φ = 2257744896.

The previous prime is 6012414137. The next prime is 6012414143. The reversal of 6012414140 is 414142106.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (6012414137) and next prime (6012414143).

It is a super-2 number, since 2×60124141402 = 72298247581743879200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6012414143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 112709 + ... + 157251.

It is an arithmetic number, because the mean of its divisors is an integer number (279224064).

Almost surely, 26012414140 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 6012414140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6701377536).

6012414140 is an abundant number, since it is smaller than the sum of its proper divisors (7390340932).

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

6012414140 is a wasteful number, since it uses less digits than its factorization.

6012414140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44966 (or 44964 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 6012414140 is about 77539.7584468768. The cubic root of 6012414140 is about 1818.3729511447.

Adding to 6012414140 its reverse (414142106), we get a palindrome (6426556246).

The spelling of 6012414140 in words is "six billion, twelve million, four hundred fourteen thousand, one hundred forty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 397 794 1588 1985 3970 6749 7940 13498 26996 33745 44543 67490 89086 134980 178172 222715 445430 757231 890860 1514462 3028924 3786155 7572310 15144620 17683571 35367142 70734284 88417855 176835710 300620707 353671420 601241414 1202482828 1503103535 3006207070 6012414140