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4114526112 = 25337167073
BaseRepresentation
bin1111010100111110…
…1010111110100000
3101121202012120202000
43311033222332200
531411304313422
61520140324000
7203650615644
oct36517527640
911552176660
104114526112
1118215a7404
12969b43600
1350757cc48
142b0646c24
15191348cac
hexf53eafa0

4114526112 has 96 divisors (see below), whose sum is σ = 12169906560. Its totient is φ = 1352171520.

The previous prime is 4114526047. The next prime is 4114526131. The reversal of 4114526112 is 2116254114.

4114526112 is a `hidden beast` number, since 4 + 1 + 1 + 45 + 2 + 611 + 2 = 666.

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 (27).

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 15 ways as a sum of consecutive naturals, for example, 27808 + ... + 94880.

It is an arithmetic number, because the mean of its divisors is an integer number (126769860).

Almost surely, 24114526112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4114526112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6084953280).

4114526112 is an abundant number, since it is smaller than the sum of its proper divisors (8055380448).

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

4114526112 is a wasteful number, since it uses less digits than its factorization.

4114526112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67163 (or 67149 counting only the distinct ones).

The product of its digits is 1920, while the sum is 27.

The square root of 4114526112 is about 64144.5719605330. The cubic root of 4114526112 is about 1602.4086264214.

The spelling of 4114526112 in words is "four billion, one hundred fourteen million, five hundred twenty-six thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 71 72 96 108 142 144 213 216 284 288 426 432 568 639 852 864 1136 1278 1704 1917 2272 2556 3408 3834 5112 6816 7668 10224 15336 20448 30672 61344 67073 134146 201219 268292 402438 536584 603657 804876 1073168 1207314 1609752 1810971 2146336 2414628 3219504 3621942 4762183 4829256 6439008 7243884 9524366 9658512 14286549 14487768 19048732 19317024 28573098 28975536 38097464 42859647 57146196 57951072 76194928 85719294 114292392 128578941 152389856 171438588 228584784 257157882 342877176 457169568 514315764 685754352 1028631528 1371508704 2057263056 4114526112