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12440122333140 = 22351911396377743
BaseRepresentation
bin1011010100000111000100…
…0100101001011111010100
31122001021010111220011210210
42311001301010221133110
53112304332304130030
642242525135045420
72422524554063505
oct265016104513724
948037114804723
1012440122333140
113a6690a81aa07
12148ab8b970870
136c3138543348
143101686b4bac
151688e1e17bb0
hexb50711297d4

12440122333140 has 96 divisors (see below), whose sum is σ = 35017668919296. Its totient is φ = 3299718764160.

The previous prime is 12440122333109. The next prime is 12440122333211. The reversal of 12440122333140 is 4133322104421.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 12440122333098 and 12440122333107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 159977109 + ... + 160054851.

It is an arithmetic number, because the mean of its divisors is an integer number (364767384576).

Almost surely, 212440122333140 is an apocalyptic number.

12440122333140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12440122333140 is an abundant number, since it is smaller than the sum of its proper divisors (22577546586156).

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

12440122333140 is a wasteful number, since it uses less digits than its factorization.

12440122333140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91909 (or 91907 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 12440122333140 its reverse (4133322104421), we get a palindrome (16573444437561).

The spelling of 12440122333140 in words is "twelve trillion, four hundred forty billion, one hundred twenty-two million, three hundred thirty-three thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 191 382 573 764 955 1146 1910 2292 2865 3820 5730 11460 13963 27926 41889 55852 69815 77743 83778 139630 155486 167556 209445 233229 279260 310972 388715 418890 466458 777430 837780 932916 1166145 1554860 2332290 2666933 4664580 5333866 8000799 10667732 13334665 14848913 16001598 26669330 29697826 32003196 40003995 44546739 53338660 59395652 74244565 80007990 89093478 148489130 160015980 178186956 222733695 296978260 445467390 890934780 1085525509 2171051018 3256576527 4342102036 5427627545 6513153054 10855255090 13026306108 16282882635 21710510180 32565765270 65131530540 207335372219 414670744438 622006116657 829341488876 1036676861095 1244012233314 2073353722190 2488024466628 3110030583285 4146707444380 6220061166570 12440122333140