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20121424434 = 2331723734847
BaseRepresentation
bin10010101111010101…
…001001001000110010
31220221022000021021000
4102233111021020302
5312202041040214
613124343542430
71311425166666
oct225725111062
956838007230
1020121424434
118596023aa1
123a9675aa16
131b888b0007
14d8c4928a6
157cb753809
hex4af549232

20121424434 has 96 divisors (see below), whose sum is σ = 48784412160. Its totient is φ = 6141816576.

The previous prime is 20121424391. The next prime is 20121424481. The reversal of 20121424434 is 43442412102.

20121424434 is a `hidden beast` number, since 2 + 0 + 1 + 214 + 2 + 443 + 4 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 20121424398 and 20121424407.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 559999 + ... + 594845.

It is an arithmetic number, because the mean of its divisors is an integer number (508170960).

Almost surely, 220121424434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20121424434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24392206080).

20121424434 is an abundant number, since it is smaller than the sum of its proper divisors (28662987726).

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

20121424434 is a wasteful number, since it uses less digits than its factorization.

20121424434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34929 (or 34906 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 20121424434 its reverse (43442412102), we get a palindrome (63563836536).

The spelling of 20121424434 in words is "twenty billion, one hundred twenty-one million, four hundred twenty-four thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 17 18 27 34 37 51 54 74 102 111 153 222 289 306 333 459 578 629 666 867 918 999 1258 1734 1887 1998 2601 3774 5202 5661 7803 10693 11322 15606 16983 21386 32079 33966 34847 64158 69694 96237 104541 192474 209082 288711 313623 577422 592399 627246 940869 1184798 1289339 1777197 1881738 2578678 3554394 3868017 5331591 7736034 10070783 10663182 11604051 15994773 20141566 21918763 23208102 30212349 31989546 34812153 43837526 60424698 65756289 69624306 90637047 131512578 181274094 197268867 271911141 372618971 394537734 543822282 591806601 745237942 1117856913 1183613202 2235713826 3353570739 6707141478 10060712217 20121424434