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10344041133432 = 2333803949111941
BaseRepresentation
bin1001011010000110100011…
…1001011011010101111000
31100121212210000022122222120
42112201220321123111320
52323434044012232212
633555553100321240
72115221660622606
oct226415071332570
940555700278876
1010344041133432
113328979607756
1211b08b2543220
135a05923307a6
1427a92341c876
1512e113c8688c
hex96868e5b578

10344041133432 has 64 divisors (see below), whose sum is σ = 25871794623360. Its totient is φ = 3446455209600.

The previous prime is 10344041133407. The next prime is 10344041133463. The reversal of 10344041133432 is 23433114044301.

10344041133432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 10344041133393 and 10344041133402.

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, 866256582 + ... + 866268522.

It is an arithmetic number, because the mean of its divisors is an integer number (404246790990).

Almost surely, 210344041133432 is an apocalyptic number.

10344041133432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10344041133432 is an abundant number, since it is smaller than the sum of its proper divisors (15527753489928).

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

10344041133432 is a wasteful number, since it uses less digits than its factorization.

10344041133432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25244 (or 25240 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 33.

Adding to 10344041133432 its reverse (23433114044301), we get a palindrome (33777155177733).

The spelling of 10344041133432 in words is "ten trillion, three hundred forty-four billion, forty-one million, one hundred thirty-three thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 24 3803 7606 9491 11409 11941 15212 18982 22818 23882 28473 30424 35823 37964 45636 47764 56946 71646 75928 91272 95528 113892 143292 227784 286584 36094273 45411623 72188546 90823246 108282819 113332031 136234869 144377092 181646492 216565638 226664062 272469738 288754184 339996093 363292984 433131276 453328124 544939476 679992186 866262552 906656248 1089878952 1359984372 2719968744 431001713893 862003427786 1293005141679 1724006855572 2586010283358 3448013711144 5172020566716 10344041133432