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3413240010440 = 235138817450537
BaseRepresentation
bin110001101010110100111…
…101010101011011001000
3110002022011120020212022222
4301222310331111123020
5421410303420313230
611132004255033212
7501412161250451
oct61526475253310
913068146225288
103413240010440
1110a6602003967
1247161320b808
131b9b37195740
14bb2b7660128
155dbbd69d6e5
hex31ab4f556c8

3413240010440 has 64 divisors (see below), whose sum is σ = 8279931890160. Its totient is φ = 1258842562560.

The previous prime is 3413240010361. The next prime is 3413240010457. The reversal of 3413240010440 is 440100423143.

It can be written as a sum of positive squares in 8 ways, for example, as 325677945124 + 3087562065316 = 570682^2 + 1757146^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

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, 3267149 + ... + 4183388.

Almost surely, 23413240010440 is an apocalyptic number.

It is an amenable number.

3413240010440 is an abundant number, since it is smaller than the sum of its proper divisors (4866691879720).

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

3413240010440 is a wasteful number, since it uses less digits than its factorization.

3413240010440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7451442 (or 7451438 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 3413240010440 its reverse (440100423143), we get a palindrome (3853340433583).

The spelling of 3413240010440 in words is "three trillion, four hundred thirteen billion, two hundred forty million, ten thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 881 1762 3524 4405 7048 8810 11453 17620 22906 35240 45812 57265 91624 114530 229060 458120 7450537 14901074 29802148 37252685 59604296 74505370 96856981 149010740 193713962 298021480 387427924 484284905 774855848 968569810 1937139620 3874279240 6563923097 13127846194 26255692388 32819615485 52511384776 65639230970 85331000261 131278461940 170662000522 262556923880 341324001044 426655001305 682648002088 853310002610 1706620005220 3413240010440