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13134334416 = 2437316712343
BaseRepresentation
bin11000011101101111…
…00000100111010000
31020220100120022122020
430032313200213100
5203344342200131
610011150211440
7643324000110
oct141667404720
936810508566
1013134334416
11562aa97935
1226667b3b80
131314177318
148c8537040
1551d139996
hex30ede09d0

13134334416 has 80 divisors (see below), whose sum is σ = 38792945664. Its totient is φ = 3751178112.

The previous prime is 13134334361. The next prime is 13134334439. The reversal of 13134334416 is 61443343131.

It is a super-2 number, since 2×131343344162 (a number of 21 digits) contains 22 as substring.

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

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, 1057941 + ... + 1070283.

Almost surely, 213134334416 is an apocalyptic number.

13134334416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

13134334416 is an abundant number, since it is smaller than the sum of its proper divisors (25658611248).

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

13134334416 is a wasteful number, since it uses less digits than its factorization.

13134334416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15528 (or 15522 counting only the distinct ones).

The product of its digits is 31104, while the sum is 33.

Adding to 13134334416 its reverse (61443343131), we get a palindrome (74577677547).

The spelling of 13134334416 in words is "thirteen billion, one hundred thirty-four million, three hundred thirty-four thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 3167 6334 9501 12343 12668 19002 22169 24686 25336 37029 38004 44338 49372 50672 66507 74058 76008 86401 88676 98744 133014 148116 152016 172802 177352 197488 259203 266028 296232 345604 354704 518406 532056 592464 691208 1036812 1064112 1382416 2073624 4147248 39090281 78180562 117270843 156361124 234541686 273631967 312722248 469083372 547263934 625444496 820895901 938166744 1094527868 1641791802 1876333488 2189055736 3283583604 4378111472 6567167208 13134334416