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14122112432040 = 23325110833539483
BaseRepresentation
bin1100110110000000111101…
…1111101011011110101000
31212000001122022000020020200
43031200033133223132220
53322334041240311130
650011335304152200
72655201053036004
oct315401737533650
955001568006220
1014122112432040
11455517733a208
121700b62a68660
137b592b98c9b2
1436b72a179704
15197536574760
hexcd80f7eb7a8

14122112432040 has 96 divisors (see below), whose sum is σ = 45901019567520. Its totient is φ = 3765555794304.

The previous prime is 14122112431993. The next prime is 14122112432059. The reversal of 14122112432040 is 4023421122141.

14122112432040 is a `hidden beast` number, since 1 + 4 + 1 + 2 + 211 + 243 + 204 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 14122112431995 and 14122112432013.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2220139 + ... + 5759621.

It is an arithmetic number, because the mean of its divisors is an integer number (478135620495).

Almost surely, 214122112432040 is an apocalyptic number.

14122112432040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14122112432040 is an abundant number, since it is smaller than the sum of its proper divisors (31778907135480).

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

14122112432040 is a wasteful number, since it uses less digits than its factorization.

14122112432040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3550583 (or 3550576 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 14122112432040 its reverse (4023421122141), we get a palindrome (18145533554181).

The spelling of 14122112432040 in words is "fourteen trillion, one hundred twenty-two billion, one hundred twelve million, four hundred thirty-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 11083 22166 33249 44332 55415 66498 88664 99747 110830 132996 166245 199494 221660 265992 332490 398988 443320 498735 664980 797976 997470 1329960 1994940 3539483 3989880 7078966 10618449 14157932 17697415 21236898 28315864 31855347 35394830 42473796 53092245 63710694 70789660 84947592 106184490 127421388 141579320 159276735 212368980 254842776 318553470 424737960 637106940 1274213880 39228090089 78456180178 117684270267 156912360356 196140450445 235368540534 313824720712 353052810801 392280900890 470737081068 588421351335 706105621602 784561801780 941474162136 1176842702670 1412211243204 1569123603560 1765264054005 2353685405340 2824422486408 3530528108010 4707370810680 7061056216020 14122112432040