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13334250420 = 22325417922871
BaseRepresentation
bin11000110101100100…
…01000001110110100
31021102021202002211200
430122302020032310
5204302032003140
610043051132500
7651302154441
oct143262101664
937367662750
1013334250420
115722922777
122701744130
13134670230a
14906cd69c8
15530979030
hex31ac883b4

13334250420 has 144 divisors (see below), whose sum is σ = 41960056320. Its totient is φ = 3425011200.

The previous prime is 13334250389. The next prime is 13334250427. The reversal of 13334250420 is 2405243331.

13334250420 is a `hidden beast` number, since 133 + 3 + 4 + 2 + 504 + 20 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13334250427) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 571585 + ... + 594455.

It is an arithmetic number, because the mean of its divisors is an integer number (291389280).

Almost surely, 213334250420 is an apocalyptic number.

13334250420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13334250420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20980028160).

13334250420 is an abundant number, since it is smaller than the sum of its proper divisors (28625805900).

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

13334250420 is a wasteful number, since it uses less digits than its factorization.

13334250420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23006 (or 23001 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

Adding to 13334250420 its reverse (2405243331), we get a palindrome (15739493751).

The spelling of 13334250420 in words is "thirteen billion, three hundred thirty-four million, two hundred fifty thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 41 45 60 79 82 90 123 158 164 180 205 237 246 316 369 395 410 474 492 615 711 738 790 820 948 1185 1230 1422 1476 1580 1845 2370 2460 2844 3239 3555 3690 4740 6478 7110 7380 9717 12956 14220 16195 19434 22871 29151 32390 38868 45742 48585 58302 64780 68613 91484 97170 114355 116604 137226 145755 194340 205839 228710 274452 291510 343065 411678 457420 583020 686130 823356 937711 1029195 1372260 1806809 1875422 2058390 2813133 3613618 3750844 4116780 4688555 5420427 5626266 7227236 8439399 9034045 9377110 10840854 11252532 14065665 16261281 16878798 18068090 18754220 21681708 27102135 28131330 32522562 33757596 36136180 42196995 54204270 56262660 65045124 74079169 81306405 84393990 108408540 148158338 162612810 168787980 222237507 296316676 325225620 370395845 444475014 666712521 740791690 888950028 1111187535 1333425042 1481583380 2222375070 2666850084 3333562605 4444750140 6667125210 13334250420