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21142431414 = 23213322128051
BaseRepresentation
bin10011101100001011…
…111110011010110110
32000120110012210112100
4103230023332122312
5321244430301124
613413535402530
71345633462506
oct235413763266
960513183470
1021142431414
118a6a395715
124120683446
131cbc293a60
141047d0ba06
1583b1d41c9
hex4ec2fe6b6

21142431414 has 48 divisors (see below), whose sum is σ = 49349415024. Its totient is φ = 6503112000.

The previous prime is 21142431407. The next prime is 21142431421. The reversal of 21142431414 is 41413424112.

21142431414 is a `hidden beast` number, since 2 + 1 + 1 + 4 + 243 + 1 + 414 = 666.

It is an interprime number because it is at equal distance from previous prime (21142431407) and next prime (21142431421).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 739689 + ... + 767739.

It is an arithmetic number, because the mean of its divisors is an integer number (1028112813).

Almost surely, 221142431414 is an apocalyptic number.

21142431414 is an abundant number, since it is smaller than the sum of its proper divisors (28206983610).

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

21142431414 is a wasteful number, since it uses less digits than its factorization.

21142431414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31293 (or 31290 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

Adding to 21142431414 its reverse (41413424112), we get a palindrome (62555855526).

The spelling of 21142431414 in words is "twenty-one billion, one hundred forty-two million, four hundred thirty-one thousand, four hundred fourteen".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 3221 6442 9663 19326 28051 28989 41873 56102 57978 83746 84153 125619 168306 251238 252459 364663 376857 504918 729326 753714 1093989 2187978 3281967 6563934 90352271 180704542 271056813 542113626 813170439 1174579523 1626340878 2349159046 3523738569 7047477138 10571215707 21142431414