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12342220240 = 2457375311239
BaseRepresentation
bin10110111111010011…
…10101010111010000
31011212011001202021011
423133221311113100
5200234102021430
65400412340304
7614565066250
oct133751652720
934764052234
1012342220240
115263952819
122485474694
1312190258cc
14851261960
154c381e22a
hex2dfa755d0

12342220240 has 160 divisors (see below), whose sum is σ = 34319946240. Its totient is φ = 4039206912.

The previous prime is 12342220223. The next prime is 12342220249. The reversal of 12342220240 is 4202224321.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12342220249) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1092541 + ... + 1103779.

It is an arithmetic number, because the mean of its divisors is an integer number (214499664).

Almost surely, 212342220240 is an apocalyptic number.

12342220240 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 12342220240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17159973120).

12342220240 is an abundant number, since it is smaller than the sum of its proper divisors (21977726000).

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

12342220240 is a wasteful number, since it uses less digits than its factorization.

12342220240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11349 (or 11343 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 12342220240 its reverse (4202224321), we get a palindrome (16544444561).

The spelling of 12342220240 in words is "twelve billion, three hundred forty-two million, two hundred twenty thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 37 40 53 56 70 74 80 106 112 140 148 185 212 259 265 280 296 370 371 424 518 530 560 592 740 742 848 1036 1060 1295 1480 1484 1855 1961 2072 2120 2590 2960 2968 3710 3922 4144 4240 5180 5936 7420 7844 9805 10360 11239 13727 14840 15688 19610 20720 22478 27454 29680 31376 39220 44956 54908 56195 68635 78440 78673 89912 109816 112390 137270 156880 157346 179824 219632 224780 274540 314692 393365 415843 449560 549080 595667 629384 786730 831686 899120 1098160 1191334 1258768 1573460 1663372 2079215 2382668 2910901 2978335 3146920 3326744 4158430 4169669 4765336 5821802 5956670 6293840 6653488 8316860 8339338 9530672 11643604 11913340 14554505 16633720 16678676 20848345 22039679 23287208 23826680 29109010 33267440 33357352 41696690 44079358 46574416 47653360 58218020 66714704 83393380 88158716 110198395 116436040 154277753 166786760 176317432 220396790 232872080 308555506 333573520 352634864 440793580 617111012 771388765 881587160 1234222024 1542777530 1763174320 2468444048 3085555060 6171110120 12342220240