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13234342000 = 2453112112851
BaseRepresentation
bin11000101001101010…
…00000100001110000
31021011022202020020211
430110311000201300
5204100442421000
610025121513504
7645650023315
oct142465004160
937138666224
1013234342000
115681494030
1226941a2894
13132bac13c9
148d792ad0c
15526ce17ba
hex314d40870

13234342000 has 160 divisors (see below), whose sum is σ = 35087539968. Its totient is φ = 4788000000.

The previous prime is 13234341977. The next prime is 13234342013. The reversal of 13234342000 is 24343231.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

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, 4640575 + ... + 4643425.

Almost surely, 213234342000 is an apocalyptic number.

13234342000 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 13234342000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17543769984).

13234342000 is an abundant number, since it is smaller than the sum of its proper divisors (21853197968).

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

13234342000 is a wasteful number, since it uses less digits than its factorization.

13234342000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3096 (or 3080 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

Adding to 13234342000 its reverse (24343231), we get a palindrome (13258685231).

The spelling of 13234342000 in words is "thirteen billion, two hundred thirty-four million, three hundred forty-two thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 211 220 250 275 400 422 440 500 550 844 880 1000 1055 1100 1375 1688 2000 2110 2200 2321 2750 2851 3376 4220 4400 4642 5275 5500 5702 8440 9284 10550 11000 11404 11605 14255 16880 18568 21100 22000 22808 23210 26375 28510 31361 37136 42200 45616 46420 52750 57020 58025 62722 71275 84400 92840 105500 114040 116050 125444 142550 156805 185680 211000 228080 232100 250888 285100 290125 313610 356375 422000 464200 501776 570200 580250 601561 627220 712750 784025 928400 1140400 1160500 1203122 1254440 1425500 1568050 2321000 2406244 2508880 2851000 3007805 3136100 3920125 4642000 4812488 5702000 6015610 6272200 6617171 7840250 9624976 12031220 12544400 13234342 15039025 15680500 24062440 26468684 30078050 31361000 33085855 48124880 52937368 60156100 62722000 66171710 75195125 105874736 120312200 132343420 150390250 165429275 240624400 264686840 300780500 330858550 529373680 601561000 661717100 827146375 1203122000 1323434200 1654292750 2646868400 3308585500 6617171000 13234342000