Search a number
-
+
14040012512232 = 233379285722561
BaseRepresentation
bin1100110001001111000111…
…1101010101101111101000
31211201012201121112011211000
43030103301331111233220
53320012421200342412
645505520454035000
72646233412163140
oct314236175255750
954635647464730
1014040012512232
11452337704a313
1216a906b948a60
137aac767976a5
1436777c575920
1519532da574dc
hexcc4f1f55be8

14040012512232 has 64 divisors (see below), whose sum is σ = 44571468297600. Its totient is φ = 4011432145920.

The previous prime is 14040012512189. The next prime is 14040012512293. The reversal of 14040012512232 is 23221521004041.

14040012512232 is a `hidden beast` number, since 1 + 4 + 0 + 400 + 1 + 25 + 1 + 2 + 232 = 666.

It is a super-2 number, since 2×140400125122322 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 14040012512196 and 14040012512205.

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, 4642859769 + ... + 4642862792.

It is an arithmetic number, because the mean of its divisors is an integer number (696429192150).

Almost surely, 214040012512232 is an apocalyptic number.

14040012512232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

14040012512232 is an abundant number, since it is smaller than the sum of its proper divisors (30531455785368).

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

14040012512232 is a wasteful number, since it uses less digits than its factorization.

14040012512232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9285722583 (or 9285722573 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 14040012512232 its reverse (23221521004041), we get a palindrome (37261533516273).

The spelling of 14040012512232 in words is "fourteen trillion, forty billion, twelve million, five hundred twelve thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 216 252 378 504 756 1512 9285722561 18571445122 27857167683 37142890244 55714335366 65000057927 74285780488 83571503049 111428670732 130000115854 167143006098 195000173781 222857341464 250714509147 260000231708 334286012196 390000347562 501429018294 520000463416 585000521343 668572024392 780000695124 1002858036588 1170001042686 1560001390248 1755001564029 2005716073176 2340002085372 3510003128058 4680004170744 7020006256116 14040012512232