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14000121040 = 245733496869
BaseRepresentation
bin11010000100111100…
…01110010011010000
31100010200200211121111
431002132032103100
5212133012333130
610233115103104
71003636031263
oct150236162320
940120624544
1014000121040
115a34781174
122868741a94
131421651cb9
1496b508cda
1556e15902a
hex34278e4d0

14000121040 has 80 divisors (see below), whose sum is σ = 33095538000. Its totient is φ = 5506707456.

The previous prime is 14000121007. The next prime is 14000121089. The reversal of 14000121040 is 4012100041.

It can be written as a sum of positive squares in 8 ways, for example, as 844948624 + 13155172416 = 29068^2 + 114696^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 14000121040.

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, 2034726 + ... + 2041594.

It is an arithmetic number, because the mean of its divisors is an integer number (413694225).

Almost surely, 214000121040 is an apocalyptic number.

14000121040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14000121040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16547769000).

14000121040 is an abundant number, since it is smaller than the sum of its proper divisors (19095416960).

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

14000121040 is a wasteful number, since it uses less digits than its factorization.

14000121040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7304 (or 7298 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 14000121040 its reverse (4012100041), we get a palindrome (18012221081).

The spelling of 14000121040 in words is "fourteen billion, one hundred twenty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 73 80 146 292 349 365 584 698 730 1168 1396 1460 1745 2792 2920 3490 5584 5840 6869 6980 13738 13960 25477 27476 27920 34345 50954 54952 68690 101908 109904 127385 137380 203816 254770 274760 407632 501437 509540 549520 1002874 1019080 2005748 2038160 2397281 2507185 4011496 4794562 5014370 8022992 9589124 10028740 11986405 19178248 20057480 23972810 38356496 40114960 47945620 95891240 175001513 191782480 350003026 700006052 875007565 1400012104 1750015130 2800024208 3500030260 7000060520 14000121040