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13410133424 = 241924353993
BaseRepresentation
bin11000111110100111…
…00110010110110000
31021121120112100202022
430133103212112300
5204430443232144
610054401411012
7653213152622
oct143723462660
937546470668
1013410133424
1157617417a6
122723039a68
1313593507bc
1491300ac12
15537467cee
hex31f4e65b0

13410133424 has 60 divisors (see below), whose sum is σ = 28059817896. Its totient is φ = 6204328704.

The previous prime is 13410133421. The next prime is 13410133427. The reversal of 13410133424 is 42433101431.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (13410133421) and next prime (13410133427).

It is a junction number, because it is equal to n+sod(n) for n = 13410133393 and 13410133402.

It is not an unprimeable number, because it can be changed into a prime (13410133421) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 221372 + ... + 275364.

Almost surely, 213410133424 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 13410133424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14029908948).

13410133424 is an abundant number, since it is smaller than the sum of its proper divisors (14649684472).

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

13410133424 is a wasteful number, since it uses less digits than its factorization.

13410133424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54082 (or 54057 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 13410133424 its reverse (42433101431), we get a palindrome (55843234855).

The spelling of 13410133424 in words is "thirteen billion, four hundred ten million, one hundred thirty-three thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 19 38 43 76 86 152 172 304 344 361 688 722 817 1444 1634 2888 3268 5776 6536 13072 15523 31046 53993 62092 107986 124184 215972 248368 431944 863888 1025867 2051734 2321699 4103468 4643398 8206936 9286796 16413872 18573592 19491473 37147184 38982946 44112281 77965892 88224562 155931784 176449124 311863568 352898248 705796496 838133339 1676266678 3352533356 6705066712 13410133424