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1144101312 = 263212791553
BaseRepresentation
bin100010000110001…
…1001100111000000
32221201211100221200
41010030121213000
54320342220222
6305310021200
740231462224
oct10414314700
92851740850
101144101312
115378a7282
1227b1a7800
13153052233
14abd3c784
156a697eac
hex443199c0

1144101312 has 84 divisors (see below), whose sum is σ = 3284037120. Its totient is φ = 380823552.

The previous prime is 1144101311. The next prime is 1144101331. The reversal of 1144101312 is 2131014411.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1144101311) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 735928 + ... + 737480.

It is an arithmetic number, because the mean of its divisors is an integer number (39095680).

Almost surely, 21144101312 is an apocalyptic number.

1144101312 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 1144101312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1642018560).

1144101312 is an abundant number, since it is smaller than the sum of its proper divisors (2139935808).

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

1144101312 is a wasteful number, since it uses less digits than its factorization.

1144101312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2850 (or 2837 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 1144101312 is about 33824.5666934552. The cubic root of 1144101312 is about 1045.8951791591.

Adding to 1144101312 its reverse (2131014411), we get a palindrome (3275115723).

The spelling of 1144101312 in words is "one billion, one hundred forty-four million, one hundred one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 1279 1553 2558 3106 3837 4659 5116 6212 7674 9318 10232 11511 12424 13977 15348 18636 20464 23022 24848 27954 30696 37272 40928 46044 49696 55908 61392 74544 81856 92088 99392 111816 122784 149088 184176 223632 245568 298176 368352 447264 736704 894528 1986287 3972574 5958861 7945148 11917722 15890296 17876583 23835444 31780592 35753166 47670888 63561184 71506332 95341776 127122368 143012664 190683552 286025328 381367104 572050656 1144101312