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11314511244 = 2234271128861
BaseRepresentation
bin10101000100110010…
…11011110110001100
31002012112020201120000
422202121123312030
5141133003324434
65110421124300
7550245521151
oct124231336614
932175221500
1011314511244
114886823843
122239259690
1310b413648a
14794980228
154634b7b99
hex2a265bd8c

11314511244 has 60 divisors (see below), whose sum is σ = 29687743008. Its totient is φ = 3757557600.

The previous prime is 11314511239. The next prime is 11314511261. The reversal of 11314511244 is 44211541311.

It is a happy number.

11314511244 is a `hidden beast` number, since 113 + 14 + 511 + 24 + 4 = 666.

11314511244 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 23374 + ... + 152234.

Almost surely, 211314511244 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 11314511244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14843871504).

11314511244 is an abundant number, since it is smaller than the sum of its proper divisors (18373231764).

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

11314511244 is a wasteful number, since it uses less digits than its factorization.

11314511244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129148 (or 129137 counting only the distinct ones).

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

The spelling of 11314511244 in words is "eleven billion, three hundred fourteen million, five hundred eleven thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 271 324 542 813 1084 1626 2439 3252 4878 7317 9756 14634 21951 29268 43902 87804 128861 257722 386583 515444 773166 1159749 1546332 2319498 3479247 4638996 6958494 10437741 13916988 20875482 34921331 41750964 69842662 104763993 139685324 209527986 314291979 419055972 628583958 942875937 1257167916 1885751874 2828627811 3771503748 5657255622 11314511244