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14102441040 = 243568838537
BaseRepresentation
bin11010010001001001…
…00010110001010000
31100101211020020021010
431020210202301100
5212340211103130
610251212130520
71006320525312
oct151044426120
940354206233
1014102441040
115a87507756
122896a66a40
1314398c878c
1497ad417b2
1557811b0b0
hex348922c50

14102441040 has 80 divisors (see below), whose sum is σ = 43729040448. Its totient is φ = 3759664128.

The previous prime is 14102441027. The next prime is 14102441047. The reversal of 14102441040 is 4014420141.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 14102440998 and 14102441016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14102441047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1647652 + ... + 1656188.

Almost surely, 214102441040 is an apocalyptic number.

14102441040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14102441040 is an abundant number, since it is smaller than the sum of its proper divisors (29626599408).

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

14102441040 is a wasteful number, since it uses less digits than its factorization.

14102441040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15436 (or 15430 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 14102441040 its reverse (4014420141), we get a palindrome (18116861181).

The spelling of 14102441040 in words is "fourteen billion, one hundred two million, four hundred forty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 6883 8537 13766 17074 20649 25611 27532 34148 34415 41298 42685 51222 55064 68296 68830 82596 85370 102444 103245 110128 128055 136592 137660 165192 170740 204888 206490 256110 275320 330384 341480 409776 412980 512220 550640 682960 825960 1024440 1651920 2048880 58760171 117520342 176280513 235040684 293800855 352561026 470081368 587601710 705122052 881402565 940162736 1175203420 1410244104 1762805130 2350406840 2820488208 3525610260 4700813680 7051220520 14102441040