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214145022024 = 23341572104909
BaseRepresentation
bin1100011101110000001…
…0011011100001001000
3202110202010122020220000
43013130002123201020
512002032111201044
6242213223003000
721320466440163
oct3073402334110
9673663566800
10214145022024
118290031164a
1235604899460
13172699a61ab
14a516948ada
1558851a1d69
hex31dc09b848

214145022024 has 80 divisors (see below), whose sum is σ = 603625040700. Its totient is φ = 70926979968.

The previous prime is 214145022023. The next prime is 214145022061. The reversal of 214145022024 is 420220541412.

It is a happy number.

214145022024 is a `hidden beast` number, since 2 + 1 + 4 + 1 + 450 + 2 + 202 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 187013002500 + 27132019524 = 432450^2 + 164718^2 .

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

It is not an unprimeable number, because it can be changed into a prime (214145022023) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 950719 + ... + 1154190.

Almost surely, 2214145022024 is an apocalyptic number.

214145022024 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

214145022024 is an abundant number, since it is smaller than the sum of its proper divisors (389480018676).

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

214145022024 is a wasteful number, since it uses less digits than its factorization.

214145022024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2105084 (or 2105071 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

Adding to 214145022024 its reverse (420220541412), we get a palindrome (634365563436).

The spelling of 214145022024 in words is "two hundred fourteen billion, one hundred forty-five million, twenty-two thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 157 162 216 314 324 471 628 648 942 1256 1413 1884 2826 3768 4239 5652 8478 11304 12717 16956 25434 33912 50868 101736 2104909 4209818 6314727 8419636 12629454 16839272 18944181 25258908 37888362 50517816 56832543 75776724 113665086 151553448 170497629 227330172 330470713 340995258 454660344 660941426 681990516 991412139 1321882852 1363981032 1982824278 2643765704 2974236417 3965648556 5948472834 7931297112 8922709251 11896945668 17845418502 23793891336 26768127753 35690837004 53536255506 71381674008 107072511012 214145022024