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4001112096 = 253277379397
BaseRepresentation
bin1110111001111100…
…0010000000100000
3101022211210112221220
43232133002000200
531143241041341
61501005415040
7201102614562
oct35637020040
911284715856
104001112096
111773583813
12937b6a480
134b9c20967
1429d563332
151863e4a66
hexee7c2020

4001112096 has 96 divisors (see below), whose sum is σ = 10595269440. Its totient is φ = 1322044416.

The previous prime is 4001112077. The next prime is 4001112119. The reversal of 4001112096 is 6902111004.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10078170 + ... + 10078566.

It is an arithmetic number, because the mean of its divisors is an integer number (110367390).

Almost surely, 24001112096 is an apocalyptic number.

It is an amenable number.

4001112096 is an abundant number, since it is smaller than the sum of its proper divisors (6594157344).

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

4001112096 is a wasteful number, since it uses less digits than its factorization.

4001112096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1066 (or 1058 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 4001112096 is about 63254.3444832053. The cubic root of 4001112096 is about 1587.5481502001.

The spelling of 4001112096 in words is "four billion, one million, one hundred twelve thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 277 379 397 554 758 794 831 1108 1137 1191 1516 1588 1662 2216 2274 2382 3032 3176 3324 4432 4548 4764 6064 6352 6648 8864 9096 9528 12128 12704 13296 18192 19056 26592 36384 38112 104983 109969 150463 209966 219938 300926 314949 329907 419932 439876 451389 601852 629898 659814 839864 879752 902778 1203704 1259796 1319628 1679728 1759504 1805556 2407408 2519592 2639256 3359456 3519008 3611112 4814816 5039184 5278512 7222224 10078368 10557024 14444448 41678251 83356502 125034753 166713004 250069506 333426008 500139012 666852016 1000278024 1333704032 2000556048 4001112096