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1014033141 = 331167131389
BaseRepresentation
bin111100011100001…
…110101011110101
32121200002012222000
4330130032223311
54034043030031
6244342125513
734062065562
oct7434165365
92550065860
101014033141
11480439120
12243720899
13132111714
1498961869
155e0543e6
hex3c70eaf5

1014033141 has 64 divisors (see below), whose sum is σ = 1680307200. Its totient is φ = 599227200.

The previous prime is 1014033121. The next prime is 1014033149. The reversal of 1014033141 is 1413304101.

It is not a de Polignac number, because 1014033141 - 211 = 1014031093 is a prime.

It is a super-2 number, since 2×10140331412 = 2056526422092651762, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1014033149) 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, 2606575 + ... + 2606963.

It is an arithmetic number, because the mean of its divisors is an integer number (26254800).

Almost surely, 21014033141 is an apocalyptic number.

1014033141 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1014033141 is a deficient number, since it is larger than the sum of its proper divisors (666274059).

1014033141 is a wasteful number, since it uses less digits than its factorization.

1014033141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 607 (or 601 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1014033141 is about 31843.8870271831. The cubic root of 1014033141 is about 1004.6560016703.

Adding to 1014033141 its reverse (1413304101), we get a palindrome (2427337242).

The spelling of 1014033141 in words is "one billion, fourteen million, thirty-three thousand, one hundred forty-one".

Divisors: 1 3 9 11 27 33 67 99 131 201 297 389 393 603 737 1167 1179 1441 1809 2211 3501 3537 4279 4323 6633 8777 10503 12837 12969 19899 26063 26331 38511 38907 50959 78189 78993 96547 115533 152877 234567 236979 286693 289641 458631 560549 703701 860079 868923 1375893 1681647 2580237 2606769 3414253 5044941 7740711 10242759 15134823 30728277 37556783 92184831 112670349 338011047 1014033141