Search a number
-
+
13434443000 = 2353111319323
BaseRepresentation
bin11001000001100000…
…10101010011111000
31021200021021102012222
430200300111103320
5210003204134000
610101030423212
7653626611206
oct144060252370
937607242188
1013434443000
115774435960
12272b201b08
1313613b2674
14916338076
1553966aa85
hex320c154f8

13434443000 has 128 divisors (see below), whose sum is σ = 34559965440. Its totient is φ = 4847440000.

The previous prime is 13434442979. The next prime is 13434443027. The reversal of 13434443000 is 34443431.

It is a congruent 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, 1436339 + ... + 1445661.

It is an arithmetic number, because the mean of its divisors is an integer number (269999730).

Almost surely, 213434443000 is an apocalyptic number.

13434443000 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 13434443000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17279982720).

13434443000 is an abundant number, since it is smaller than the sum of its proper divisors (21125522440).

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

13434443000 is a wasteful number, since it uses less digits than its factorization.

13434443000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9486 (or 9472 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 26.

Adding to 13434443000 its reverse (34443431), we get a palindrome (13468886431).

The spelling of 13434443000 in words is "thirteen billion, four hundred thirty-four million, four hundred forty-three thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 131 200 220 250 262 275 440 500 524 550 655 1000 1048 1100 1310 1375 1441 2200 2620 2750 2882 3275 5240 5500 5764 6550 7205 9323 11000 11528 13100 14410 16375 18646 26200 28820 32750 36025 37292 46615 57640 65500 72050 74584 93230 102553 131000 144100 180125 186460 205106 233075 288200 360250 372920 410212 466150 512765 720500 820424 932300 1025530 1165375 1221313 1441000 1864600 2051060 2330750 2442626 2563825 4102120 4661500 4885252 5127650 6106565 9323000 9770504 10255300 12213130 12819125 13434443 20510600 24426260 25638250 26868886 30532825 48852520 51276500 53737772 61065650 67172215 102553000 107475544 122131300 134344430 152664125 244262600 268688860 305328250 335861075 537377720 610656500 671722150 1221313000 1343444300 1679305375 2686888600 3358610750 6717221500 13434443000