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2024032240032 = 253111916697197
BaseRepresentation
bin11101011101000001101…
…110010000000110100000
321011111101021202010200020
4131131001232100012200
5231130204223140112
64145454431153440
7266142256113555
oct35350156200640
97144337663606
102024032240032
11710429484490
12288330375880
13118b3343b14a
146dd6c4bca2c
15379b2c3b48c
hex1d741b901a0

2024032240032 has 48 divisors (see below), whose sum is σ = 5796092326752. Its totient is φ = 613343102720.

The previous prime is 2024032240031. The next prime is 2024032240037. The reversal of 2024032240032 is 2300422304202.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×20240322400322 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 2024032239984 and 2024032240011.

It is not an unprimeable number, because it can be changed into a prime (2024032240031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 958347543 + ... + 958349654.

It is an arithmetic number, because the mean of its divisors is an integer number (120751923474).

Almost surely, 22024032240032 is an apocalyptic number.

2024032240032 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2024032240032 is an abundant number, since it is smaller than the sum of its proper divisors (3772060086720).

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

2024032240032 is a wasteful number, since it uses less digits than its factorization.

2024032240032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1916697221 (or 1916697213 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

Adding to 2024032240032 its reverse (2300422304202), we get a palindrome (4324454544234).

The spelling of 2024032240032 in words is "two trillion, twenty-four billion, thirty-two million, two hundred forty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 1916697197 3833394394 5750091591 7666788788 11500183182 15333577576 21083669167 23000366364 30667155152 42167338334 46000732728 61334310304 63251007501 84334676668 92001465456 126502015002 168669353336 184002930912 253004030004 337338706672 506008060008 674677413344 1012016120016 2024032240032