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14002210322340 = 22353713945376273
BaseRepresentation
bin1100101111000010010011…
…0001011011011110100100
31211120121011010000221222220
43023300210301123132210
53313403011320303330
645440305425552340
72643424552651032
oct313604461333644
954517133027886
1014002210322340
114509338765569
1216a187baa56b0
137a7530b5aaa6
143659d3c35552
15194369ea8710
hexcbc24c5b7a4

14002210322340 has 96 divisors (see below), whose sum is σ = 40555498650240. Its totient is φ = 3606869108736.

The previous prime is 14002210322327. The next prime is 14002210322383. The reversal of 14002210322340 is 4322301220041.

It is a happy number.

14002210322340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×140022103223402 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 14002210322340.

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, 22379557 + ... + 22996716.

It is an arithmetic number, because the mean of its divisors is an integer number (422453110940).

Almost surely, 214002210322340 is an apocalyptic number.

14002210322340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14002210322340 is an abundant number, since it is smaller than the sum of its proper divisors (26553288327900).

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

14002210322340 is a wasteful number, since it uses less digits than its factorization.

14002210322340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45376461 (or 45376459 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 14002210322340 its reverse (4322301220041), we get a palindrome (18324511542381).

The spelling of 14002210322340 in words is "fourteen trillion, two billion, two hundred ten million, three hundred twenty-two thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 139 148 185 222 278 370 417 444 555 556 695 740 834 1110 1390 1668 2085 2220 2780 4170 5143 8340 10286 15429 20572 25715 30858 51430 61716 77145 102860 154290 308580 45376273 90752546 136128819 181505092 226881365 272257638 453762730 544515276 680644095 907525460 1361288190 1678922101 2722576380 3357844202 5036766303 6307301947 6715688404 8394610505 10073532606 12614603894 16789221010 18921905841 20147065212 25183831515 25229207788 31536509735 33578442020 37843811682 50367663030 63073019470 75687623364 94609529205 100735326060 126146038940 189219058410 233370172039 378438116820 466740344078 700110516117 933480688156 1166850860195 1400221032234 2333701720390 2800442064468 3500552580585 4667403440780 7001105161170 14002210322340