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14340106040 = 23513190714461
BaseRepresentation
bin11010101101011110…
…01010011100111000
31101000101102212100112
431112233022130320
5213332031343130
610330542123452
71015234614221
oct152657123470
941011385315
1014340106040
116099685a07
122942580588
131476c0c860
149a072a248
1558de15495
hex356bca738

14340106040 has 64 divisors (see below), whose sum is σ = 34767804960. Its totient is φ = 5291665920.

The previous prime is 14340106013. The next prime is 14340106049. The reversal of 14340106040 is 4060104341.

It is a junction number, because it is equal to n+sod(n) for n = 14340105997 and 14340106015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14340106049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 984410 + ... + 998870.

Almost surely, 214340106040 is an apocalyptic number.

14340106040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14340106040 is an abundant number, since it is smaller than the sum of its proper divisors (20427698920).

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

14340106040 is a wasteful number, since it uses less digits than its factorization.

14340106040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16392 (or 16388 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The spelling of 14340106040 in words is "fourteen billion, three hundred forty million, one hundred six thousand, forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 1907 3814 7628 9535 14461 15256 19070 24791 28922 38140 49582 57844 72305 76280 99164 115688 123955 144610 187993 198328 247910 289220 375986 495820 578440 751972 939965 991640 1503944 1879930 3759860 7519720 27577127 55154254 110308508 137885635 220617016 275771270 358502651 551542540 717005302 1103085080 1434010604 1792513255 2868021208 3585026510 7170053020 14340106040