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13202442334140 = 223513712891246033
BaseRepresentation
bin1100000000011110111011…
…1000101010111110111100
31201202010210220110122100220
43000013232320222332330
53212302100214143030
644025041314221340
72531562554141163
oct300075670527674
951663726418326
1013202442334140
114230140568764
12159287b284850
13749ca5c96307
143390046263da
1517d65c245a10
hexc01eee2afbc

13202442334140 has 96 divisors (see below), whose sum is σ = 37265587410240. Its totient is φ = 3492238934016.

The previous prime is 13202442334087. The next prime is 13202442334163. The reversal of 13202442334140 is 4143324420231.

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, 9972564 + ... + 11218596.

It is an arithmetic number, because the mean of its divisors is an integer number (388183202190).

Almost surely, 213202442334140 is an apocalyptic number.

13202442334140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13202442334140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18632793705120).

13202442334140 is an abundant number, since it is smaller than the sum of its proper divisors (24063145076100).

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

13202442334140 is a wasteful number, since it uses less digits than its factorization.

13202442334140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1247471 (or 1247469 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 33.

Adding to 13202442334140 its reverse (4143324420231), we get a palindrome (17345766754371).

The spelling of 13202442334140 in words is "thirteen trillion, two hundred two billion, four hundred forty-two million, three hundred thirty-four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 137 274 411 548 685 822 1289 1370 1644 2055 2578 2740 3867 4110 5156 6445 7734 8220 12890 15468 19335 25780 38670 77340 176593 353186 529779 706372 882965 1059558 1246033 1765930 2119116 2492066 2648895 3531860 3738099 4984132 5297790 6230165 7476198 10595580 12460330 14952396 18690495 24920660 37380990 74761980 170706521 341413042 512119563 682826084 853532605 1024239126 1606136537 1707065210 2048478252 2560597815 3212273074 3414130420 4818409611 5121195630 6424546148 8030682685 9636819222 10242391260 16061365370 19273638444 24092048055 32122730740 48184096110 96368192220 220040705569 440081411138 660122116707 880162822276 1100203527845 1320244233414 2200407055690 2640488466828 3300610583535 4400814111380 6601221167070 13202442334140