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12442320240 = 2435719389797
BaseRepresentation
bin10111001011001111…
…01011110101110000
31012010010102100122120
423211213223311300
5200440213221430
65414350034240
7620221656060
oct134547536560
935103370576
1012442320240
115305402399
1224b2aa8980
1312339a2a8c
1486067b3a0
154cc4e3610
hex2e59ebd70

12442320240 has 160 divisors (see below), whose sum is σ = 46401553920. Its totient is φ = 2694269952.

The previous prime is 12442320223. The next prime is 12442320263. The reversal of 12442320240 is 4202324421.

It is a super-2 number, since 2×124423202402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 12442320240.

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, 162979 + ... + 226818.

It is an arithmetic number, because the mean of its divisors is an integer number (290009712).

Almost surely, 212442320240 is an apocalyptic number.

12442320240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12442320240 is an abundant number, since it is smaller than the sum of its proper divisors (33959233680).

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

12442320240 is a wasteful number, since it uses less digits than its factorization.

12442320240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389839 (or 389833 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 12442320240 its reverse (4202324421), we get a palindrome (16644644661).

The spelling of 12442320240 in words is "twelve billion, four hundred forty-two million, three hundred twenty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 19 20 21 24 28 30 35 38 40 42 48 56 57 60 70 76 80 84 95 105 112 114 120 133 140 152 168 190 210 228 240 266 280 285 304 336 380 399 420 456 532 560 570 665 760 798 840 912 1064 1140 1330 1520 1596 1680 1995 2128 2280 2660 3192 3990 4560 5320 6384 7980 10640 15960 31920 389797 779594 1169391 1559188 1948985 2338782 2728579 3118376 3897970 4677564 5457158 5846955 6236752 7406143 7795940 8185737 9355128 10914316 11693910 13642895 14812286 15591880 16371474 18710256 21828632 22218429 23387820 27285790 29624572 31183760 32742948 37030715 40928685 43657264 44436858 46775640 51843001 54571580 59249144 65485896 74061430 81857370 88873716 93551280 103686002 109143160 111092145 118498288 130971792 148122860 155529003 163714740 177747432 207372004 218286320 222184290 259215005 296245720 311058006 327429480 355494864 414744008 444368580 518430010 592491440 622116012 654858960 777645015 829488016 888737160 1036860020 1244232024 1555290030 1777474320 2073720040 2488464048 3110580060 4147440080 6221160120 12442320240