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24134104320240 = 2435100558768001
BaseRepresentation
bin1010111110011001010001…
…01101110000100011110000
310011110012100020002112010110
411133030220231300203300
511130403121201221430
6123155015433101320
75040426413653425
oct537145055604360
9104405306075113
1024134104320240
117765241794332
122859426857840
131060ab439c745
145d614dbb3d4c
152bcbb41847b0
hex15f328b708f0

24134104320240 has 40 divisors (see below), whose sum is σ = 74815723393488. Its totient is φ = 6435761152000.

The previous prime is 24134104320199. The next prime is 24134104320259. The reversal of 24134104320240 is 4202340143142.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 24134104320198 and 24134104320207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50279383761 + ... + 50279384240.

Almost surely, 224134104320240 is an apocalyptic number.

24134104320240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

24134104320240 is an abundant number, since it is smaller than the sum of its proper divisors (50681619073248).

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

24134104320240 is a wasteful number, since it uses less digits than its factorization.

24134104320240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100558768017 (or 100558768011 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 24134104320240 its reverse (4202340143142), we get a palindrome (28336444463382).

The spelling of 24134104320240 in words is "twenty-four trillion, one hundred thirty-four billion, one hundred four million, three hundred twenty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 100558768001 201117536002 301676304003 402235072004 502793840005 603352608006 804470144008 1005587680010 1206705216012 1508381520015 1608940288016 2011175360020 2413410432024 3016763040030 4022350720040 4826820864048 6033526080060 8044701440080 12067052160120 24134104320240