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1112428944 = 2433111311787
BaseRepresentation
bin100001001001110…
…0101000110010000
32212112020020122000
41002103211012100
54234240211234
6302215114000
736365330034
oct10223450620
92775206560
101112428944
11520a34370
12270672900
13149612ca3
14a7a561c4
15679dd899
hex424e5190

1112428944 has 160 divisors (see below), whose sum is σ = 3511918080. Its totient is φ = 334339200.

The previous prime is 1112428901. The next prime is 1112428981. The reversal of 1112428944 is 4498242111.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1112428899 and 1112428908.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 621619 + ... + 623405.

It is an arithmetic number, because the mean of its divisors is an integer number (21949488).

Almost surely, 21112428944 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 1112428944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1755959040).

1112428944 is an abundant number, since it is smaller than the sum of its proper divisors (2399489136).

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

1112428944 is a wasteful number, since it uses less digits than its factorization.

1112428944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1946 (or 1934 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 1112428944 is about 33353.0949688331. The cubic root of 1112428944 is about 1036.1534881885.

The spelling of 1112428944 in words is "one billion, one hundred twelve million, four hundred twenty-eight thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 88 99 108 131 132 144 176 198 216 262 264 297 393 396 432 524 528 594 786 792 1048 1179 1188 1441 1572 1584 1787 2096 2358 2376 2882 3144 3537 3574 4323 4716 4752 5361 5764 6288 7074 7148 8646 9432 10722 11528 12969 14148 14296 16083 17292 18864 19657 21444 23056 25938 28296 28592 32166 34584 38907 39314 42888 48249 51876 56592 58971 64332 69168 77814 78628 85776 96498 103752 117942 128664 155628 157256 176913 192996 207504 234097 235884 257328 311256 314512 353826 385992 468194 471768 530739 622512 702291 707652 771984 936388 943536 1061478 1404582 1415304 1872776 2106873 2122956 2575067 2809164 2830608 3745552 4213746 4245912 5150134 5618328 6320619 7725201 8427492 8491824 10300268 11236656 12641238 15450402 16854984 20600536 23175603 25282476 30900804 33709968 41201072 46351206 50564952 61801608 69526809 92702412 101129904 123603216 139053618 185404824 278107236 370809648 556214472 1112428944