Search a number
-
+
14023132240000 = 27541313483781
BaseRepresentation
bin1100110000010000001111…
…0100001101100010000000
31211122121011012022111112011
43030010003310031202000
53314223333323140000
645454045451142304
72645065201220362
oct314040364154200
954577135274464
1014023132240000
1145171a4626a04
1216a593a744994
137a94b6534320
14366a1a740d32
15194b91b302ba
hexcc103d0d880

14023132240000 has 160 divisors (see below), whose sum is σ = 37595076458940. Its totient is φ = 5177771520000.

The previous prime is 14023132239983. The next prime is 14023132240003. The reversal of 14023132240000 is 4223132041.

It can be written as a sum of positive squares in 10 ways, for example, as 6873583549504 + 7149548690496 = 2621752^2 + 2673864^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is not an unprimeable number, because it can be changed into a prime (14023132240003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5701891 + ... + 7781890.

Almost surely, 214023132240000 is an apocalyptic number.

14023132240000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14023132240000 is an abundant number, since it is smaller than the sum of its proper divisors (23571944218940).

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

14023132240000 is an equidigital number, since it uses as much as digits as its factorization.

14023132240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13483828 (or 13483801 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 14023132240000 its reverse (4223132041), we get a palindrome (14027355372041).

The spelling of 14023132240000 in words is "fourteen trillion, twenty-three billion, one hundred thirty-two million, two hundred forty thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 64 65 80 100 104 125 128 130 160 200 208 250 260 320 325 400 416 500 520 625 640 650 800 832 1000 1040 1250 1300 1600 1625 1664 2000 2080 2500 2600 3200 3250 4000 4160 5000 5200 6500 8000 8125 8320 10000 10400 13000 16000 16250 20000 20800 26000 32500 40000 41600 52000 65000 80000 104000 130000 208000 260000 520000 1040000 13483781 26967562 53935124 67418905 107870248 134837810 175289153 215740496 269675620 337094525 350578306 431480992 539351240 674189050 701156612 862961984 876445765 1078702480 1348378100 1402313224 1685472625 1725923968 1752891530 2157404960 2696756200 2804626448 3370945250 3505783060 4314809920 4382228825 5393512400 5609252896 6741890500 7011566120 8427363125 8629619840 8764457650 10787024800 11218505792 13483781000 14023132240 16854726250 17528915300 21574049600 21911144125 22437011584 26967562000 28046264480 33709452500 35057830600 43148099200 43822288250 53935124000 56092528960 67418905000 70115661200 87644576500 107870248000 109555720625 112185057920 134837810000 140231322400 175289153000 215740496000 219111441250 269675620000 280462644800 350578306000 438222882500 539351240000 560925289600 701156612000 876445765000 1078702480000 1402313224000 1752891530000 2804626448000 3505783060000 7011566120000 14023132240000