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13420115210424 = 23313432175145989
BaseRepresentation
bin1100001101001001110100…
…1100110011000010111000
31202111221122220101110111210
43003102131030303002320
53224333343443213144
644313041003323120
72553366652101636
oct303223514630270
952457586343453
1013420115210424
1143044911a143a
121608aa95204a0
1376468580c220
14345773900356
1518414bea7ab9
hexc349d3330b8

13420115210424 has 128 divisors (see below), whose sum is σ = 36973840780800. Its totient is φ = 4032963648000.

The previous prime is 13420115210377. The next prime is 13420115210431. The reversal of 13420115210424 is 42401251102431.

It is a super-2 number, since 2×134201152104242 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13420115210391 and 13420115210400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 291788422 + ... + 291834410.

It is an arithmetic number, because the mean of its divisors is an integer number (288858131100).

Almost surely, 213420115210424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13420115210424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18486920390400).

13420115210424 is an abundant number, since it is smaller than the sum of its proper divisors (23553725570376).

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

13420115210424 is a wasteful number, since it uses less digits than its factorization.

13420115210424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67805 (or 67801 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

Adding to 13420115210424 its reverse (42401251102431), we get a palindrome (55821366312855).

The spelling of 13420115210424 in words is "thirteen trillion, four hundred twenty billion, one hundred fifteen million, two hundred ten thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 43 52 78 86 104 129 156 172 258 312 344 516 559 1032 1118 1677 2236 3354 4472 6708 13416 21751 43502 45989 65253 87004 91978 130506 137967 174008 183956 261012 275934 282763 367912 522024 551868 565526 597857 848289 935293 1103736 1131052 1195714 1696578 1793571 1870586 1977527 2262104 2391428 2805879 3393156 3587142 3741172 3955054 4782856 5611758 5932581 6786312 7174284 7482344 7910108 11223516 11865162 12158809 14348568 15820216 22447032 23730324 24317618 25707851 36476427 47460648 48635236 51415702 72952854 77123553 97270472 102831404 145905708 154247106 205662808 291811416 308494212 616988424 1000306739 2000613478 3000920217 4001226956 6001840434 8002453912 12003680868 13003987607 24007361736 26007975214 39011962821 43013189777 52015950428 78023925642 86026379554 104031900856 129039569331 156047851284 172052759108 258079138662 312095702568 344105518216 516158277324 559171467101 1032316554648 1118342934202 1677514401303 2236685868404 3355028802606 4473371736808 6710057605212 13420115210424