Search a number
-
+
23114400024040 = 23513128934484693
BaseRepresentation
bin1010100000101101111011…
…00110100100010111101000
310000211201022021120010202021
411100112331212210113220
511012201242401232130
6121054335255114224
74603650244314613
oct520267546442750
9100751267503667
1023114400024040
11740184224a026
122713885972974
13cb88a8a81750
1459ca5885b17a
152a13d2b1337a
hex1505bd9a45e8

23114400024040 has 64 divisors (see below), whose sum is σ = 56051421627600. Its totient is φ = 8527926392832.

The previous prime is 23114400024019. The next prime is 23114400024077. The reversal of 23114400024040 is 4042000441132.

It can be written as a sum of positive squares in 8 ways, for example, as 13682290285764 + 9432109738276 = 3698958^2 + 3071174^2 .

It is a junction number, because it is equal to n+sod(n) for n = 23114400023996 and 23114400024014.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16572067 + ... + 17912626.

Almost surely, 223114400024040 is an apocalyptic number.

23114400024040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23114400024040 is an abundant number, since it is smaller than the sum of its proper divisors (32937021603560).

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

23114400024040 is a wasteful number, since it uses less digits than its factorization.

23114400024040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34486006 (or 34486002 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 23114400024040 its reverse (4042000441132), we get a palindrome (27156400465172).

The spelling of 23114400024040 in words is "twenty-three trillion, one hundred fourteen billion, four hundred million, twenty-four thousand, forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 1289 2578 5156 6445 10312 12890 16757 25780 33514 51560 67028 83785 134056 167570 335140 670280 34484693 68969386 137938772 172423465 275877544 344846930 448301009 689693860 896602018 1379387720 1793204036 2241505045 3586408072 4483010090 8966020180 17932040360 44450769277 88901538554 177803077108 222253846385 355606154216 444507692770 577860000601 889015385540 1155720001202 1778030771080 2311440002404 2889300003005 4622880004808 5778600006010 11557200012020 23114400024040