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13984233000 = 2335318232557
BaseRepresentation
bin11010000011000011…
…00111011000101000
31100002120210122022120
431001201213120220
5212114430424000
610231350351240
71003354006413
oct150141473050
940076718276
1013984233000
115a2680a261
12286335b520
13141b27b3aa
14969370b7a
1556ca6b6a0
hex341867628

13984233000 has 128 divisors (see below), whose sum is σ = 43671813120. Its totient is φ = 3725625600.

The previous prime is 13984232993. The next prime is 13984233019. The reversal of 13984233000 is 33248931.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5467722 + ... + 5470278.

It is an arithmetic number, because the mean of its divisors is an integer number (341186040).

Almost surely, 213984233000 is an apocalyptic number.

13984233000 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 13984233000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21835906560).

13984233000 is an abundant number, since it is smaller than the sum of its proper divisors (29687580120).

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

13984233000 is a wasteful number, since it uses less digits than its factorization.

13984233000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4404 (or 4390 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The spelling of 13984233000 in words is "thirteen billion, nine hundred eighty-four million, two hundred thirty-three thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1500 1823 2557 3000 3646 5114 5469 7292 7671 9115 10228 10938 12785 14584 15342 18230 20456 21876 25570 27345 30684 36460 38355 43752 45575 51140 54690 61368 63925 72920 76710 91150 102280 109380 127850 136725 153420 182300 191775 218760 227875 255700 273450 306840 319625 364600 383550 455750 511400 546900 639250 683625 767100 911500 958875 1093800 1278500 1367250 1534200 1823000 1917750 2557000 2734500 3835500 4661411 5469000 7671000 9322822 13984233 18645644 23307055 27968466 37291288 46614110 55936932 69921165 93228220 111873864 116535275 139842330 186456440 233070550 279684660 349605825 466141100 559369320 582676375 699211650 932282200 1165352750 1398423300 1748029125 2330705500 2796846600 3496058250 4661411000 6992116500 13984233000