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4441400112 = 2432941591319
BaseRepresentation
bin1000010001011101…
…00110001100110000
3102110112021111120110
410020232212030300
533043444300422
62012414341320
7215030164242
oct41056461460
912415244513
104441400112
11197a066706
12a3b4ba840
1355a1c9c06
14301c14092
151aedb560c
hex108ba6330

4441400112 has 160 divisors (see below), whose sum is σ = 12374208000. Its totient is φ = 1369876480.

The previous prime is 4441400107. The next prime is 4441400137. The reversal of 4441400112 is 2110041444.

It is a super-2 number, since 2×44414001122 = 39452069909747225088, which contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 3366589 + ... + 3367907.

It is an arithmetic number, because the mean of its divisors is an integer number (77338800).

Almost surely, 24441400112 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 4441400112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6187104000).

4441400112 is an abundant number, since it is smaller than the sum of its proper divisors (7932807888).

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

4441400112 is a wasteful number, since it uses less digits than its factorization.

4441400112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1459 (or 1453 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 4441400112 is about 66643.8302620730. The cubic root of 4441400112 is about 1643.7658986699.

Adding to 4441400112 its reverse (2110041444), we get a palindrome (6551441556).

The spelling of 4441400112 in words is "four billion, four hundred forty-one million, four hundred thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 29 41 48 58 59 82 87 116 118 123 164 174 177 232 236 246 328 348 354 464 472 492 656 696 708 944 984 1189 1319 1392 1416 1711 1968 2378 2419 2638 2832 3422 3567 3957 4756 4838 5133 5276 6844 7134 7257 7914 9512 9676 10266 10552 13688 14268 14514 15828 19024 19352 20532 21104 27376 28536 29028 31656 38251 38704 41064 54079 57072 58056 63312 70151 76502 77821 82128 108158 114753 116112 140302 153004 155642 162237 210453 216316 229506 233463 280604 306008 311284 324474 420906 432632 459012 466926 561208 612016 622568 648948 841812 865264 918024 933852 1122416 1245136 1297896 1568291 1683624 1836048 1867704 2256809 2595792 3136582 3190661 3367248 3735408 4513618 4704873 6273164 6381322 6770427 9027236 9409746 9571983 12546328 12762644 13540854 18054472 18819492 19143966 25092656 25525288 27081708 36108944 37638984 38287932 51050576 54163416 75277968 76575864 92529169 108326832 153151728 185058338 277587507 370116676 555175014 740233352 1110350028 1480466704 2220700056 4441400112