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21430045345104 = 2433114509689677
BaseRepresentation
bin1001101111101100100100…
…01111011000010101010000
32210212200200201001222022000
410313312102033120111100
510302102213102020404
6113324454340514000
74341161333630154
oct467662217302520
983780621058260
1021430045345104
116912481a0a850
1224a13529ab900
13bc5ac979b406
14541310d17064
152726a0aca339
hex137d923d8550

21430045345104 has 80 divisors (see below), whose sum is σ = 67104182408640. Its totient is φ = 6493953133440.

The previous prime is 21430045345097. The next prime is 21430045345117. The reversal of 21430045345104 is 40154354003412.

21430045345104 is a `hidden beast` number, since 2 + 1 + 4 + 300 + 4 + 5 + 345 + 1 + 0 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2254840087 + ... + 2254849590.

It is an arithmetic number, because the mean of its divisors is an integer number (838802280108).

Almost surely, 221430045345104 is an apocalyptic number.

21430045345104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

21430045345104 is an abundant number, since it is smaller than the sum of its proper divisors (45674137063536).

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

21430045345104 is a wasteful number, since it uses less digits than its factorization.

21430045345104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4509689705 (or 4509689693 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 21430045345104 its reverse (40154354003412), we get a palindrome (61584399348516).

The spelling of 21430045345104 in words is "twenty-one trillion, four hundred thirty billion, forty-five million, three hundred forty-five thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 88 99 108 132 144 176 198 216 264 297 396 432 528 594 792 1188 1584 2376 4752 4509689677 9019379354 13529069031 18038758708 27058138062 36077517416 40587207093 49606586447 54116276124 72155034832 81174414186 99213172894 108232552248 121761621279 148819759341 162348828372 198426345788 216465104496 243523242558 297639518682 324697656744 396852691576 446459278023 487046485116 595279037364 649395313488 793705383152 892918556046 974092970232 1190558074728 1339377834069 1785837112092 1948185940464 2381116149456 2678755668138 3571674224184 5357511336276 7143348448368 10715022672552 21430045345104