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1014113142 = 233713919301
BaseRepresentation
bin111100011100100…
…010001101110110
32121200020021201000
4330130202031312
54034103110032
6244343544130
734062551040
oct7434421566
92550207630
101014113142
11480493239
1224375b046
1313213bc63
1498982a90
155e06ce7c
hex3c722376

1014113142 has 64 divisors (see below), whose sum is σ = 2594188800. Its totient is φ = 287647200.

The previous prime is 1014113129. The next prime is 1014113143. The reversal of 1014113142 is 2413114101.

It is a super-2 number, since 2×10141131422 = 2056850929554224328, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1014113143) 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, 42892 + ... + 62192.

It is an arithmetic number, because the mean of its divisors is an integer number (40534200).

Almost surely, 21014113142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1014113142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1297094400).

1014113142 is an abundant number, since it is smaller than the sum of its proper divisors (1580075658).

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

1014113142 is a wasteful number, since it uses less digits than its factorization.

1014113142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19458 (or 19452 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 1014113142 is about 31845.1431461691. The cubic root of 1014113142 is about 1004.6824213759.

Adding to 1014113142 its reverse (2413114101), we get a palindrome (3427227243).

The spelling of 1014113142 in words is "one billion, fourteen million, one hundred thirteen thousand, one hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 139 189 278 378 417 834 973 1251 1946 2502 2919 3753 5838 7506 8757 17514 19301 26271 38602 52542 57903 115806 135107 173709 270214 347418 405321 521127 810642 1042254 1215963 2431926 2682839 3647889 5365678 7295778 8048517 16097034 18779873 24145551 37559746 48291102 56339619 72436653 112679238 144873306 169018857 338037714 507056571 1014113142