Search a number
-
+
14045300251424 = 251343785180023
BaseRepresentation
bin1100110001100010110100…
…1000011101101100100000
31211201201101010100011100022
43030120231020131230200
53320104233331021144
645512153304413012
72646511430213321
oct314305510355440
954651333304308
1014045300251424
11452563a917002
1216aa0a6777168
137ab60a120450
14367b20938448
1519553cd99cee
hexcc62d21db20

14045300251424 has 48 divisors (see below), whose sum is σ = 30471266371392. Its totient is φ = 6331691697408.

The previous prime is 14045300251421. The next prime is 14045300251439. The reversal of 14045300251424 is 42415200354041.

It is a happy number.

It is a super-2 number, since 2×140453002514242 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (14045300251421) 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 7 ways as a sum of consecutive naturals, for example, 392572124 + ... + 392607899.

It is an arithmetic number, because the mean of its divisors is an integer number (634818049404).

Almost surely, 214045300251424 is an apocalyptic number.

It is an amenable number.

14045300251424 is an abundant number, since it is smaller than the sum of its proper divisors (16425966119968).

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

14045300251424 is a wasteful number, since it uses less digits than its factorization.

14045300251424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 785180089 (or 785180081 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 35.

The spelling of 14045300251424 in words is "fourteen trillion, forty-five billion, three hundred million, two hundred fifty-one thousand, four hundred twenty-four".

Divisors: 1 2 4 8 13 16 26 32 43 52 86 104 172 208 344 416 559 688 1118 1376 2236 4472 8944 17888 785180023 1570360046 3140720092 6281440184 10207340299 12562880368 20414680598 25125760736 33762740989 40829361196 67525481978 81658722392 135050963956 163317444784 270101927912 326634889568 438915632857 540203855824 877831265714 1080407711648 1755662531428 3511325062856 7022650125712 14045300251424