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14122011040 = 255234781649
BaseRepresentation
bin11010010011011110…
…01100100110100000
31100110012001111020221
431021233030212200
5212410213323130
610253151412424
71006646053564
oct151157144640
940405044227
1014122011040
115a97563a05
1228a1524114
13144098b267
1497d7976a4
15579bd487a
hex349bcc9a0

14122011040 has 96 divisors (see below), whose sum is σ = 35554982400. Its totient is φ = 5288177664.

The previous prime is 14122010989. The next prime is 14122011083. The reversal of 14122011040 is 4011022141.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 132136 + ... + 213784.

It is an arithmetic number, because the mean of its divisors is an integer number (370364400).

Almost surely, 214122011040 is an apocalyptic number.

14122011040 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 14122011040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17777491200).

14122011040 is an abundant number, since it is smaller than the sum of its proper divisors (21432971360).

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

14122011040 is a wasteful number, since it uses less digits than its factorization.

14122011040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81734 (or 81726 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 14122011040 its reverse (4011022141), we get a palindrome (18133033181).

The spelling of 14122011040 in words is "fourteen billion, one hundred twenty-two million, eleven thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 47 80 92 94 115 160 184 188 230 235 368 376 460 470 736 752 920 940 1081 1504 1840 1880 2162 3680 3760 4324 5405 7520 8648 10810 17296 21620 34592 43240 81649 86480 163298 172960 326596 408245 653192 816490 1306384 1632980 1877927 2612768 3265960 3755854 3837503 6531920 7511708 7675006 9389635 13063840 15023416 15350012 18779270 19187515 30046832 30700024 37558540 38375030 60093664 61400048 75117080 76750060 88262569 122800096 150234160 153500120 176525138 300468320 307000240 353050276 441312845 614000480 706100552 882625690 1412201104 1765251380 2824402208 3530502760 7061005520 14122011040