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113400111444 = 223233313893191
BaseRepresentation
bin110100110011100101…
…1000110000101010100
3101211201001022112102120
41221213023012011110
53324220412031234
6124032325535540
711123106020544
oct1514713060524
9354631275376
10113400111444
1144102452174
1219b895745b0
13a902a61679
1456ba9bd324
152e3a873049
hex1a672c6154

113400111444 has 96 divisors (see below), whose sum is σ = 277737707520. Its totient is φ = 35943388800.

The previous prime is 113400111437. The next prime is 113400111479. The reversal of 113400111444 is 444111004311.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 35535889 + ... + 35539079.

It is an arithmetic number, because the mean of its divisors is an integer number (2893101120).

Almost surely, 2113400111444 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 113400111444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138868853760).

113400111444 is an abundant number, since it is smaller than the sum of its proper divisors (164337596076).

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

113400111444 is a wasteful number, since it uses less digits than its factorization.

113400111444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3941 (or 3939 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 113400111444 its reverse (444111004311), we get a palindrome (557511115755).

The spelling of 113400111444 in words is "one hundred thirteen billion, four hundred million, one hundred eleven thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 12 23 46 69 92 138 276 331 389 662 778 993 1167 1324 1556 1986 2334 3191 3972 4668 6382 7613 8947 9573 12764 15226 17894 19146 22839 26841 30452 35788 38292 45678 53682 73393 91356 107364 128759 146786 220179 257518 293572 386277 440358 515036 772554 880716 1056221 1241299 1545108 2112442 2482598 2961457 3168663 3723897 4224884 4965196 5922914 6337326 7447794 8884371 11845828 12674652 14895588 17768742 24293083 28549877 35537484 48586166 57099754 72879249 85649631 97172332 114199508 145758498 171299262 291516996 342598524 410869969 821739938 1232609907 1643479876 2465219814 4930439628 9450009287 18900018574 28350027861 37800037148 56700055722 113400111444