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23414331003440 = 24513101222908711
BaseRepresentation
bin1010101001011100100101…
…11000011101001000110000
310001220101110222121120000212
411110232102320131020300
511032110022214102230
6121444221205003252
74634425643503106
oct524562270351060
9101811428546025
1023414331003440
117507a64494103
122761a300b3528
13100ac674c5560
145ad38c753c76
152a90d91db895
hex154b92e1d230

23414331003440 has 80 divisors (see below), whose sum is σ = 59206337176896. Its totient is φ = 8559694464000.

The previous prime is 23414331003367. The next prime is 23414331003451. The reversal of 23414331003440 is 4430013341432.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 23414331003397 and 23414331003406.

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, 111349316 + ... + 111559395.

Almost surely, 223414331003440 is an apocalyptic number.

23414331003440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23414331003440 is an abundant number, since it is smaller than the sum of its proper divisors (35792006173456).

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

23414331003440 is a wasteful number, since it uses less digits than its factorization.

23414331003440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222908838 (or 222908832 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 32.

Adding to 23414331003440 its reverse (4430013341432), we get a palindrome (27844344344872).

The spelling of 23414331003440 in words is "twenty-three trillion, four hundred fourteen billion, three hundred thirty-one million, three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 101 104 130 202 208 260 404 505 520 808 1010 1040 1313 1616 2020 2626 4040 5252 6565 8080 10504 13130 21008 26260 52520 105040 222908711 445817422 891634844 1114543555 1783269688 2229087110 2897813243 3566539376 4458174220 5795626486 8916348440 11591252972 14489066215 17832696880 22513779811 23182505944 28978132430 45027559622 46365011888 57956264860 90055119244 112568899055 115912529720 180110238488 225137798110 231825059440 292679137543 360220476976 450275596220 585358275086 900551192440 1170716550172 1463395687715 1801102384880 2341433100344 2926791375430 4682866200688 5853582750860 11707165501720 23414331003440