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4412034144 = 25337729503
BaseRepresentation
bin1000001101111101…
…00100110001100000
3102101111000120001000
410012332210301200
533013440043034
62005445112000
7214222446210
oct40676446140
912344016030
104412034144
111964529611
12a316b8600
135540b76bb
142dbd6c240
151ac514599
hex106fa4c60

4412034144 has 96 divisors (see below), whose sum is σ = 14706800640. Its totient is φ = 1260579456.

The previous prime is 4412034091. The next prime is 4412034163. The reversal of 4412034144 is 4414302144.

4412034144 is a `hidden beast` number, since 4 + 41 + 203 + 414 + 4 = 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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 358704 + ... + 370799.

It is an arithmetic number, because the mean of its divisors is an integer number (153195840).

Almost surely, 24412034144 is an apocalyptic number.

It is an amenable number.

4412034144 is an abundant number, since it is smaller than the sum of its proper divisors (10294766496).

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

4412034144 is a wasteful number, since it uses less digits than its factorization.

4412034144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 729529 (or 729515 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 4412034144 is about 66423.1446410060. The cubic root of 4412034144 is about 1640.1350949589.

Adding to 4412034144 its reverse (4414302144), we get a palindrome (8826336288).

The spelling of 4412034144 in words is "four billion, four hundred twelve million, thirty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 72 84 96 108 112 126 144 168 189 216 224 252 288 336 378 432 504 672 756 864 1008 1512 2016 3024 6048 729503 1459006 2188509 2918012 4377018 5106521 5836024 6565527 8754036 10213042 11672048 13131054 15319563 17508072 19696581 20426084 23344096 26262108 30639126 35016144 39393162 40852168 45958689 52524216 61278252 70032288 78786324 81704336 91917378 105048432 122556504 137876067 157572648 163408672 183834756 210096864 245113008 275752134 315145296 367669512 490226016 551504268 630290592 735339024 1103008536 1470678048 2206017072 4412034144