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14022040340 = 22571124137781
BaseRepresentation
bin11010000111100011…
…10101101100010100
31100012012221110020102
431003301311230110
5212204120242330
610235220553232
71004323243040
oct150361655424
940165843212
1014022040340
115a460924a0
122873b52818
131426057bb9
149703b3020
15571038945
hex343c75b14

14022040340 has 96 divisors (see below), whose sum is σ = 36865559808. Its totient is φ = 4352256000.

The previous prime is 14022040339. The next prime is 14022040379. The reversal of 14022040340 is 4304022041.

14022040340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 352250 + ... + 390030.

It is an arithmetic number, because the mean of its divisors is an integer number (384016248).

Almost surely, 214022040340 is an apocalyptic number.

14022040340 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 14022040340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18432779904).

14022040340 is an abundant number, since it is smaller than the sum of its proper divisors (22843519468).

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

14022040340 is a wasteful number, since it uses less digits than its factorization.

14022040340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38049 (or 38047 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 14022040340 its reverse (4304022041), we get a palindrome (18326062381).

The spelling of 14022040340 in words is "fourteen billion, twenty-two million, forty thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 140 154 220 241 308 385 482 770 964 1205 1540 1687 2410 2651 3374 4820 5302 6748 8435 10604 13255 16870 18557 26510 33740 37114 37781 53020 74228 75562 92785 151124 185570 188905 264467 371140 377810 415591 528934 755620 831182 1057868 1322335 1662364 2077955 2644670 2909137 4155910 5289340 5818274 8311820 9105221 11636548 14545685 18210442 29091370 36420884 45526105 58182740 63736547 91052210 100157431 127473094 182104420 200314862 254946188 318682735 400629724 500787155 637365470 701102017 1001574310 1274730940 1402204034 2003148620 2804408068 3505510085 7011020170 14022040340