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21213611433144 = 23321322664114779
BaseRepresentation
bin1001101001011001011011…
…10001100001110010111000
32210010000001001111001200200
410310230231301201302320
510240030434011330034
6113041222031002200
74316430032010324
oct464545561416270
983100031431620
1021213611433144
116839707686329
12246740b669360
13bab58683cca0
14534a5c3d2984
1526bc349eda99
hex134b2dc61cb8

21213611433144 has 48 divisors (see below), whose sum is σ = 61873033349400. Its totient is φ = 6527265056064.

The previous prime is 21213611433137. The next prime is 21213611433169. The reversal of 21213611433144 is 44133411631212.

21213611433144 is a `hidden beast` number, since 2 + 1 + 2 + 1 + 3 + 611 + 4 + 3 + 31 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 21213611433099 and 21213611433108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11332056454 + ... + 11332058325.

Almost surely, 221213611433144 is an apocalyptic number.

21213611433144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

21213611433144 is an abundant number, since it is smaller than the sum of its proper divisors (40659421916256).

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

21213611433144 is a wasteful number, since it uses less digits than its factorization.

21213611433144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22664114804 (or 22664114797 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The spelling of 21213611433144 in words is "twenty-one trillion, two hundred thirteen billion, six hundred eleven million, four hundred thirty-three thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 936 22664114779 45328229558 67992344337 90656459116 135984688674 181312918232 203977033011 271969377348 294633492127 407954066022 543938754696 589266984254 815908132044 883900476381 1178533968508 1631816264088 1767800952762 2357067937016 2651701429143 3535601905524 5303402858286 7071203811048 10606805716572 21213611433144