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23144414003424 = 2532711480364089
BaseRepresentation
bin1010100001100101110101…
…00100110100000011100000
310000221120210000011021020100
411100302322210310003200
511013144224441102144
6121120221430542400
74606062104035650
oct520627244640340
9100846700137210
1023144414003424
117413544370a6a
122719661507a00
13cbb67cccc76c
145a02a4aa4360
152a208ca9e269
hex150cba9340e0

23144414003424 has 72 divisors (see below), whose sum is σ = 75219345517680. Its totient is φ = 6612689714688.

The previous prime is 23144414003411. The next prime is 23144414003519. The reversal of 23144414003424 is 42430041444132.

23144414003424 is a `hidden beast` number, since 2 + 31 + 444 + 140 + 0 + 3 + 42 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5740180029 + ... + 5740184060.

It is an arithmetic number, because the mean of its divisors is an integer number (1044713132190).

Almost surely, 223144414003424 is an apocalyptic number.

23144414003424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

23144414003424 is an abundant number, since it is smaller than the sum of its proper divisors (52074931514256).

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

23144414003424 is a wasteful number, since it uses less digits than its factorization.

23144414003424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11480364112 (or 11480364101 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 23144414003424 its reverse (42430041444132), we get a palindrome (65574455447556).

The spelling of 23144414003424 in words is "twenty-three trillion, one hundred forty-four billion, four hundred fourteen million, three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 11480364089 22960728178 34441092267 45921456356 68882184534 80362548623 91842912712 103323276801 137764369068 160725097246 183685825424 206646553602 241087645869 275528738136 321450194492 367371650848 413293107204 482175291738 551057476272 642900388984 723262937607 826586214408 964350583476 1102114952544 1285800777968 1446525875214 1653172428816 1928701166952 2571601555936 2893051750428 3306344857632 3857402333904 5786103500856 7714804667808 11572207001712 23144414003424