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12400432010334 = 234163127469241
BaseRepresentation
bin1011010001110011001101…
…0110000101010001011110
31121220110200102112212120000
42310130303112011101132
53111132041043312314
642212402501435130
72416621156645614
oct264346326052136
947813612485500
1012400432010334
113a50aa2655a35
12148335370baa6
136bc481699534
1430c2812b96b4
1516786c702209
hexb473358545e

12400432010334 has 40 divisors (see below), whose sum is σ = 27786382758288. Its totient is φ = 4133443188960.

The previous prime is 12400432010311. The next prime is 12400432010339. The reversal of 12400432010334 is 43301023400421.

12400432010334 is a `hidden beast` number, since 1 + 2 + 4 + 0 + 0 + 4 + 320 + 1 + 0 + 334 = 666.

12400432010334 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×124004320103342 (a number of 27 digits) contains 22 as substring.

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 = 12400432010298 and 12400432010307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12400432010339) 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, 26191954 + ... + 26661194.

Almost surely, 212400432010334 is an apocalyptic number.

12400432010334 is an abundant number, since it is smaller than the sum of its proper divisors (15385950747954).

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

12400432010334 is a wasteful number, since it uses less digits than its factorization.

12400432010334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 632382 (or 632373 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 12400432010334 its reverse (43301023400421), we get a palindrome (55701455410755).

The spelling of 12400432010334 in words is "twelve trillion, four hundred billion, four hundred thirty-two million, ten thousand, three hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 54 81 162 163127 326254 469241 489381 938482 978762 1407723 1468143 2815446 2936286 4223169 4404429 8446338 8808858 12669507 13213287 25339014 26426574 38008521 76017042 76545876607 153091753214 229637629821 459275259642 688912889463 1377825778926 2066738668389 4133477336778 6200216005167 12400432010334