Search a number
-
+
13841233224 = 2337136337561
BaseRepresentation
bin11001110010000000…
…00111010101001000
31022201121201111111120
430321000013111020
5211321323430344
610205241355240
7666666353430
oct147100072510
938647644446
1013841233224
115963019425
122823498b20
1313c7760840
149543892c0
15560221219
hex339007548

13841233224 has 64 divisors (see below), whose sum is σ = 42588416640. Its totient is φ = 3650434560.

The previous prime is 13841233201. The next prime is 13841233249. The reversal of 13841233224 is 42233214831.

It is a super-2 number, since 2×138412332242 (a number of 21 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3166597 + ... + 3170964.

It is an arithmetic number, because the mean of its divisors is an integer number (665444010).

Almost surely, 213841233224 is an apocalyptic number.

13841233224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

13841233224 is an abundant number, since it is smaller than the sum of its proper divisors (28747183416).

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

13841233224 is a wasteful number, since it uses less digits than its factorization.

13841233224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6337590 (or 6337586 counting only the distinct ones).

The product of its digits is 27648, while the sum is 33.

The spelling of 13841233224 in words is "thirteen billion, eight hundred forty-one million, two hundred thirty-three thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 52 56 78 84 91 104 156 168 182 273 312 364 546 728 1092 2184 6337561 12675122 19012683 25350244 38025366 44362927 50700488 76050732 82388293 88725854 133088781 152101464 164776586 177451708 247164879 266177562 329553172 354903416 494329758 532355124 576718051 659106344 988659516 1064710248 1153436102 1730154153 1977319032 2306872204 3460308306 4613744408 6920616612 13841233224