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4112114133024 = 253253861265093
BaseRepresentation
bin111011110101101101000…
…110100010100000100000
3112120010002022012202121100
4323311231012202200200
51014333102204224044
612425025032554400
7603043010262522
oct73655506424040
915503068182540
104112114133024
111345a35253157
12564b56852a00
1323aa032c1311
1410305520ba12
1571e739ac869
hex3bd6d1a2820

4112114133024 has 72 divisors (see below), whose sum is σ = 11694085789932. Its totient is φ = 1370674091520.

The previous prime is 4112114132983. The next prime is 4112114133037. The reversal of 4112114133024 is 4203314112114.

It is a happy number.

4112114133024 is a `hidden beast` number, since 4 + 1 + 1 + 211 + 413 + 30 + 2 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4109620928400 + 2493204624 = 2027220^2 + 49932^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15379422 + ... + 15644514.

Almost surely, 24112114133024 is an apocalyptic number.

It is an amenable number.

4112114133024 is an abundant number, since it is smaller than the sum of its proper divisors (7581971656908).

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

4112114133024 is a wasteful number, since it uses less digits than its factorization.

4112114133024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318970 (or 318959 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 4112114133024 its reverse (4203314112114), we get a palindrome (8315428245138).

The spelling of 4112114133024 in words is "four trillion, one hundred twelve billion, one hundred fourteen million, one hundred thirty-three thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 53861 107722 161583 215444 265093 323166 430888 484749 530186 646332 795279 861776 969498 1060372 1292664 1590558 1723552 1938996 2120744 2385837 2585328 3181116 3877992 4241488 4771674 5170656 6362232 7755984 8482976 9543348 12724464 15511968 19086696 25448928 38173392 76346784 14278174073 28556348146 42834522219 57112696292 85669044438 114225392584 128503566657 171338088876 228450785168 257007133314 342676177752 456901570336 514014266628 685352355504 1028028533256 1370704711008 2056057066512 4112114133024