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140031011124 = 223229244910301
BaseRepresentation
bin1000001001101001111…
…1111010100100110100
3111101110000001102000100
42002122133322210310
54243240414323444
6144155050314100
713055045645514
oct2023237724464
9441400042010
10140031011124
1154428945274
1223180128930
131028812c284
146ac57c1844
1539987e9e69
hex209a7fa934

140031011124 has 108 divisors (see below), whose sum is σ = 367446069900. Its totient is φ = 44962713600.

The previous prime is 140031011089. The next prime is 140031011137. The reversal of 140031011124 is 421110130041.

140031011124 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 18730659600 + 121300351524 = 136860^2 + 348282^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 140031011097 and 140031011106.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 13588774 + ... + 13599074.

It is an arithmetic number, because the mean of its divisors is an integer number (3402278425).

Almost surely, 2140031011124 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 140031011124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183723034950).

140031011124 is an abundant number, since it is smaller than the sum of its proper divisors (227415058776).

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

140031011124 is a wasteful number, since it uses less digits than its factorization.

140031011124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10818 (or 10784 counting only the distinct ones).

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

Adding to 140031011124 its reverse (421110130041), we get a palindrome (561141141165).

The spelling of 140031011124 in words is "one hundred forty billion, thirty-one million, eleven thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 174 261 348 449 522 841 898 1044 1347 1682 1796 2523 2694 3364 4041 5046 5388 7569 8082 10092 10301 13021 15138 16164 20602 26042 30276 30903 39063 41204 52084 61806 78126 92709 117189 123612 156252 185418 234378 298729 370836 377609 468756 597458 755218 896187 1132827 1194916 1510436 1792374 2265654 2688561 3398481 3584748 4531308 4625149 5377122 6796962 8663141 9250298 10754244 13593924 13875447 17326282 18500596 25989423 27750894 34652564 41626341 51978846 55501788 77968269 83252682 103957692 134129321 155936538 166505364 268258642 311873076 402387963 536517284 804775926 1207163889 1609551852 2414327778 3889750309 4828655556 7779500618 11669250927 15559001236 23338501854 35007752781 46677003708 70015505562 140031011124