Search a number
-
+
14012311223340 = 223251151655310321
BaseRepresentation
bin1100101111100111111011…
…0101010011110000101100
31211121120020001122220021100
43023321332311103300230
53314034203133121330
645445100015203100
72644233064130013
oct313717665236054
954546201586240
1014012311223340
114512651426a31
1216a381a816490
137a8480715ba1
143662b1541a7a
1519475bb48060
hexcbe7ed53c2c

14012311223340 has 144 divisors (see below), whose sum is σ = 42551552848896. Its totient is φ = 3732438528000.

The previous prime is 14012311223333. The next prime is 14012311223347. The reversal of 14012311223340 is 4332211321041.

14012311223340 is a `hidden beast` number, since 1 + 4 + 0 + 1 + 2 + 311 + 2 + 2 + 3 + 340 = 666.

It is an interprime number because it is at equal distance from previous prime (14012311223333) and next prime (14012311223347).

It is not an unprimeable number, because it can be changed into a prime (14012311223347) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1357645380 + ... + 1357655700.

It is an arithmetic number, because the mean of its divisors is an integer number (295496894784).

Almost surely, 214012311223340 is an apocalyptic number.

14012311223340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14012311223340 is an abundant number, since it is smaller than the sum of its proper divisors (28539241625556).

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

14012311223340 is a wasteful number, since it uses less digits than its factorization.

14012311223340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18040 (or 18035 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 14012311223340 its reverse (4332211321041), we get a palindrome (18344522544381).

The spelling of 14012311223340 in words is "fourteen trillion, twelve billion, three hundred eleven million, two hundred twenty-three thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1151 2302 3453 4604 5755 6553 6906 10321 10359 11510 13106 13812 17265 19659 20642 20718 23020 26212 30963 32765 34530 39318 41284 41436 51605 51795 58977 61926 65530 69060 78636 92889 98295 103210 103590 117954 123852 131060 154815 185778 196590 206420 207180 235908 294885 309630 371556 393180 464445 589770 619260 928890 1179540 1857780 7542503 11879471 15085006 22627509 23758942 30170012 35638413 37712515 45255018 47517884 59397355 67633513 67882527 71276826 75425030 90510036 106915239 113137545 118794710 135267026 135765054 142553652 150850060 178192065 202900539 213830478 226275090 237589420 270534052 271530108 338167565 339412635 356384130 405801078 427660956 452550180 534576195 608701617 676335130 678825270 712768260 811602156 1014502695 1069152390 1217403234 1352670260 1357650540 2029005390 2138304780 2434806468 3043508085 4058010780 6087016170 12174032340 77846173463 155692346926 233538520389 311384693852 389230867315 467077040778 700615561167 778461734630 934154081556 1167692601945 1401231122334 1556923469260 2335385203890 2802462244668 3503077805835 4670770407780 7006155611670 14012311223340