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1407141045 = 335192918917
BaseRepresentation
bin101001111011111…
…0100010010110101
310122001210011122000
41103313310102311
510340212003140
6351343525513
746604334012
oct12367642265
93561704560
101407141045
11662326992
123332b9899
131956abc4b
14d4c50709
1583805a30
hex53df44b5

1407141045 has 64 divisors (see below), whose sum is σ = 2724192000. Its totient is φ = 686423808.

The previous prime is 1407141041. The next prime is 1407141053. The reversal of 1407141045 is 5401417041.

1407141045 is a `hidden beast` number, since 140 + 71 + 410 + 45 = 666.

It is not a de Polignac number, because 1407141045 - 22 = 1407141041 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1407141041) 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, 64927 + ... + 83843.

It is an arithmetic number, because the mean of its divisors is an integer number (42565500).

Almost surely, 21407141045 is an apocalyptic number.

1407141045 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1407141045 is a deficient number, since it is larger than the sum of its proper divisors (1317050955).

1407141045 is a wasteful number, since it uses less digits than its factorization.

1407141045 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18979 (or 18973 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 1407141045 is about 37511.8787186139. The cubic root of 1407141045 is about 1120.5877667991.

Adding to 1407141045 its reverse (5401417041), we get a palindrome (6808558086).

The spelling of 1407141045 in words is "one billion, four hundred seven million, one hundred forty-one thousand, forty-five".

Divisors: 1 3 5 9 15 19 27 29 45 57 87 95 135 145 171 261 285 435 513 551 783 855 1305 1653 2565 2755 3915 4959 8265 14877 18917 24795 56751 74385 94585 170253 283755 359423 510759 548593 851265 1078269 1645779 1797115 2553795 2742965 3234807 4937337 5391345 8228895 9704421 10423267 14812011 16174035 24686685 31269801 48522105 52116335 74060055 93809403 156349005 281428209 469047015 1407141045