Search a number
-
+
134263040010 = 235111925185313
BaseRepresentation
bin111110100001010110…
…0110110100000001010
3110211120000121010010120
41331002230312200022
54144432314240020
6141402442524110
712462110003301
oct1750254664012
9424500533116
10134263040010
1151a38a931a0
1222030506636
13c879153108
1466d9731438
15375c246740
hex1f42b3680a

134263040010 has 128 divisors (see below), whose sum is σ = 371504931840. Its totient is φ = 30712320000.

The previous prime is 134263039979. The next prime is 134263040047. The reversal of 134263040010 is 10040362431.

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 63 ways as a sum of consecutive naturals, for example, 1531114 + ... + 1616426.

It is an arithmetic number, because the mean of its divisors is an integer number (2902382280).

Almost surely, 2134263040010 is an apocalyptic number.

134263040010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 134263040010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185752465920).

134263040010 is an abundant number, since it is smaller than the sum of its proper divisors (237241891830).

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

134263040010 is a wasteful number, since it uses less digits than its factorization.

134263040010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85604.

The product of its (nonzero) digits is 1728, while the sum is 24.

The spelling of 134263040010 in words is "one hundred thirty-four billion, two hundred sixty-three million, forty thousand, ten".

Divisors: 1 2 3 5 6 10 11 15 19 22 30 33 38 55 57 66 95 110 114 165 190 209 251 285 330 418 502 570 627 753 1045 1254 1255 1506 2090 2510 2761 3135 3765 4769 5522 6270 7530 8283 9538 13805 14307 16566 23845 27610 28614 41415 47690 52459 71535 82830 85313 104918 143070 157377 170626 255939 262295 314754 426565 511878 524590 786885 853130 938443 1279695 1573770 1620947 1876886 2559390 2815329 3241894 4692215 4862841 5630658 8104735 9384430 9725682 14076645 16209470 17830417 21413563 24314205 28153290 35660834 42827126 48628410 53491251 64240689 89152085 106982502 107067815 128481378 178304170 214135630 235549193 267456255 321203445 406857697 471098386 534912510 642406890 706647579 813715394 1177745965 1220573091 1413295158 2034288485 2355491930 2441146182 3533237895 4068576970 4475434667 6102865455 7066475790 8950869334 12205730910 13426304001 22377173335 26852608002 44754346670 67131520005 134263040010