Search a number
-
+
1156442112 = 2113278963
BaseRepresentation
bin100010011101101…
…1110100000000000
32222121001100100100
41010323132200000
54332022121422
6310430322400
740441411230
oct10473364000
92877040310
101156442112
11543866091
12283359400
13155783397
14ad831cc0
156b7d47ac
hex44ede800

1156442112 has 144 divisors (see below), whose sum is σ = 3817588320. Its totient is φ = 330375168.

The previous prime is 1156442099. The next prime is 1156442117. The reversal of 1156442112 is 2112446511.

1156442112 is a `hidden beast` number, since 1 + 1 + 5 + 644 + 2 + 1 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (1156442117) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 124543 + ... + 133505.

It is an arithmetic number, because the mean of its divisors is an integer number (26511030).

Almost surely, 21156442112 is an apocalyptic number.

1156442112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1156442112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1908794160).

1156442112 is an abundant number, since it is smaller than the sum of its proper divisors (2661146208).

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

1156442112 is an equidigital number, since it uses as much as digits as its factorization.

1156442112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8998 (or 8975 counting only the distinct ones).

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

The square root of 1156442112 is about 34006.5010255392. The cubic root of 1156442112 is about 1049.6422400213.

Adding to 1156442112 its reverse (2112446511), we get a palindrome (3268888623).

The spelling of 1156442112 in words is "one billion, one hundred fifty-six million, four hundred forty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 256 288 336 384 448 504 512 576 672 768 896 1008 1024 1152 1344 1536 1792 2016 2048 2304 2688 3072 3584 4032 4608 5376 6144 7168 8064 8963 9216 10752 14336 16128 17926 18432 21504 26889 32256 35852 43008 53778 62741 64512 71704 80667 107556 125482 129024 143408 161334 188223 215112 250964 286816 322668 376446 430224 501928 564669 573632 645336 752892 860448 1003856 1129338 1147264 1290672 1505784 1720896 2007712 2258676 2294528 2581344 3011568 3441792 4015424 4517352 4589056 5162688 6023136 6883584 8030848 9034704 9178112 10325376 12046272 13767168 16061696 18069408 18356224 20650752 24092544 27534336 32123392 36138816 41301504 48185088 55068672 64246784 72277632 82603008 96370176 128493568 144555264 165206016 192740352 289110528 385480704 578221056 1156442112