Search a number
-
+
14181941088 = 2532719370247
BaseRepresentation
bin11010011010100111…
…10011111101100000
31100121100211020211100
431031103303331200
5213021034103323
610303132114400
71011304340010
oct151523637540
940540736740
1014181941088
116018377277
1228b9605a00
131450212423
14987717c40
155800c1943
hex34d4f3f60

14181941088 has 144 divisors (see below), whose sum is σ = 48517297920. Its totient is φ = 3838710528.

The previous prime is 14181941083. The next prime is 14181941089. The reversal of 14181941088 is 88014918141.

14181941088 is a `hidden beast` number, since 141 + 8 + 19 + 410 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×141819410882 (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14181941083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 146820 + ... + 223427.

It is an arithmetic number, because the mean of its divisors is an integer number (336925680).

Almost surely, 214181941088 is an apocalyptic number.

14181941088 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

14181941088 is an abundant number, since it is smaller than the sum of its proper divisors (34335356832).

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

14181941088 is a wasteful number, since it uses less digits than its factorization.

14181941088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370289 (or 370278 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 45.

The spelling of 14181941088 in words is "fourteen billion, one hundred eighty-one million, nine hundred forty-one thousand, eighty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 19 21 24 28 32 36 38 42 48 56 57 63 72 76 84 96 112 114 126 133 144 152 168 171 224 228 252 266 288 304 336 342 399 456 504 532 608 672 684 798 912 1008 1064 1197 1368 1596 1824 2016 2128 2394 2736 3192 4256 4788 5472 6384 9576 12768 19152 38304 370247 740494 1110741 1480988 2221482 2591729 2961976 3332223 4442964 5183458 5923952 6664446 7034693 7775187 8885928 10366916 11847904 13328892 14069386 15550374 17771856 20733832 21104079 23325561 26657784 28138772 31100748 35543712 41467664 42208158 46651122 49242851 53315568 56277544 62201496 63312237 82935328 84416316 93302244 98485702 106631136 112555088 124402992 126624474 147728553 168832632 186604488 196971404 225110176 248805984 253248948 295457106 337665264 373208976 393942808 443185659 506497896 590914212 675330528 746417952 787885616 886371318 1012995792 1181828424 1575771232 1772742636 2025991584 2363656848 3545485272 4727313696 7090970544 14181941088