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105140203344 = 243211431543637
BaseRepresentation
bin110000111101011011…
…0000010111101010000
3101001101101211201122100
41201322312002331100
53210311343001334
6120144543240400
710411320661041
oct1417266027520
9331341751570
10105140203344
11406539a3a40
12184632a9100
139bb771a097
1451359ba8c8
152b05637c99
hex187ad82f50

105140203344 has 120 divisors (see below), whose sum is σ = 328461468192. Its totient is φ = 31119701760.

The previous prime is 105140203327. The next prime is 105140203369. The reversal of 105140203344 is 443302041501.

It is a happy number.

105140203344 is a `hidden beast` number, since 105 + 14 + 0 + 203 + 344 = 666.

It is a super-2 number, since 2×1051402033442 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 703707 + ... + 839930.

Almost surely, 2105140203344 is an apocalyptic number.

It is an amenable number.

105140203344 is an abundant number, since it is smaller than the sum of its proper divisors (223321264848).

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

105140203344 is a wasteful number, since it uses less digits than its factorization.

105140203344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1543705 (or 1543696 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 105140203344 its reverse (443302041501), we get a palindrome (548442244845).

The spelling of 105140203344 in words is "one hundred five billion, one hundred forty million, two hundred three thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 43 44 48 66 72 86 88 99 129 132 144 172 176 198 258 264 344 387 396 473 516 528 688 774 792 946 1032 1419 1548 1584 1892 2064 2838 3096 3784 4257 5676 6192 7568 8514 11352 17028 22704 34056 68112 1543637 3087274 4630911 6174548 9261822 12349096 13892733 16980007 18523644 24698192 27785466 33960014 37047288 50940021 55570932 66376391 67920028 74094576 101880042 111141864 132752782 135840056 152820063 199129173 203760084 222283728 265505564 271680112 305640126 398258346 407520168 531011128 597387519 611280252 730140301 796516692 815040336 1062022256 1194775038 1222560504 1460280602 1593033384 2190420903 2389550076 2445121008 2920561204 3186066768 4380841806 4779100152 5841122408 6571262709 8761683612 9558200304 11682244816 13142525418 17523367224 26285050836 35046734448 52570101672 105140203344