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21142431324 = 2233729964351
BaseRepresentation
bin10011101100001011…
…111110011001011100
32000120110012210102000
4103230023332121130
5321244430300244
613413535402300
71345633462320
oct235413763134
960513183360
1021142431324
118a6a395643
124120683390
131cbc2939c1
141047d0b980
1583b1d4169
hex4ec2fe65c

21142431324 has 96 divisors (see below), whose sum is σ = 64804454400. Its totient is φ = 5832388800.

The previous prime is 21142431313. The next prime is 21142431329. The reversal of 21142431324 is 42313424112.

21142431324 is a `hidden beast` number, since 211 + 424 + 3 + 1 + 3 + 24 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21142431329) 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, 460252 + ... + 504099.

It is an arithmetic number, because the mean of its divisors is an integer number (675046400).

Almost surely, 221142431324 is an apocalyptic number.

It is an amenable number.

21142431324 is an abundant number, since it is smaller than the sum of its proper divisors (43662023076).

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

21142431324 is a wasteful number, since it uses less digits than its factorization.

21142431324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 964400 (or 964392 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

Adding to 21142431324 its reverse (42313424112), we get a palindrome (63455855436).

The spelling of 21142431324 in words is "twenty-one billion, one hundred forty-two million, four hundred thirty-one thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 29 36 42 54 58 63 84 87 108 116 126 174 189 203 252 261 348 378 406 522 609 756 783 812 1044 1218 1566 1827 2436 3132 3654 5481 7308 10962 21924 964351 1928702 2893053 3857404 5786106 6750457 8679159 11572212 13500914 17358318 20251371 26037477 27001828 27966179 34716636 40502742 52074954 55932358 60754113 81005484 83898537 104149908 111864716 121508226 167797074 182262339 195763253 243016452 251695611 335594148 364524678 391526506 503391222 587289759 729049356 755086833 783053012 1006782444 1174579518 1510173666 1761869277 2349159036 3020347332 3523738554 5285607831 7047477108 10571215662 21142431324