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13420414332 = 223213291994969
BaseRepresentation
bin11000111111110101…
…10100010101111100
31021122021212200111200
430133322310111330
5204441111224312
610055410015500
7653366432253
oct143772642574
937567780450
1013420414332
115767523a16
122726577590
13135b510190
1491452579a
155382e90dc
hex31feb457c

13420414332 has 144 divisors (see below), whose sum is σ = 37990680000. Its totient is φ = 3966133248.

The previous prime is 13420414313. The next prime is 13420414333. The reversal of 13420414332 is 23341402431.

It is a junction number, because it is equal to n+sod(n) for n = 13420414296 and 13420414305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13420414333) 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, 2698344 + ... + 2703312.

Almost surely, 213420414332 is an apocalyptic number.

13420414332 is a gapful number since it is divisible by the number (12) 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 13420414332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18995340000).

13420414332 is an abundant number, since it is smaller than the sum of its proper divisors (24570265668).

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

13420414332 is a wasteful number, since it uses less digits than its factorization.

13420414332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5220 (or 5215 counting only the distinct ones).

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

Adding to 13420414332 its reverse (23341402431), we get a palindrome (36761816763).

The spelling of 13420414332 in words is "thirteen billion, four hundred twenty million, four hundred fourteen thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 29 36 39 52 58 78 87 116 117 156 174 199 234 261 348 377 398 468 522 597 754 796 1044 1131 1194 1508 1791 2262 2388 2587 3393 3582 4524 4969 5174 5771 6786 7164 7761 9938 10348 11542 13572 14907 15522 17313 19876 23084 23283 29814 31044 34626 44721 46566 51939 59628 64597 69252 75023 89442 93132 103878 129194 144101 150046 178884 193791 207756 225069 258388 288202 300092 387582 432303 450138 576404 581373 675207 775164 864606 900276 988831 1162746 1296909 1350414 1729212 1873313 1977662 2325492 2593818 2700828 2966493 3746626 3955324 5187636 5619939 5932986 7493252 8899479 11239878 11865972 12854803 16859817 17798958 22479756 25709606 28676099 33719634 35597916 38564409 51419212 57352198 67439268 77128818 86028297 114704396 115693227 154257636 172056594 231386454 258084891 344113188 372789287 462772908 516169782 745578574 1032339564 1118367861 1491157148 2236735722 3355103583 4473471444 6710207166 13420414332