Search a number
-
+
14300563006401 = 374353298806139
BaseRepresentation
bin1101000000011001101111…
…1110100110001111000001
31212122010020211020200002120
43100012123332212033001
53333300023112201101
650225330555234453
73004116165635130
oct320063376461701
955563224220076
1014300563006401
114613920002a31
12172b665748a29
137c96ca5c8129
14376218287917
1519beccc1db36
hexd019bfa63c1

14300563006401 has 32 divisors (see below), whose sum is σ = 22718828436480. Its totient is φ = 7831111264704.

The previous prime is 14300563006393. The next prime is 14300563006453. The reversal of 14300563006401 is 10460036500341.

14300563006401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 14300563006401 - 23 = 14300563006393 is a prime.

It is a super-2 number, since 2×143005630064012 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (14300563006801) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 149355211 + ... + 149450928.

It is an arithmetic number, because the mean of its divisors is an integer number (709963388640).

Almost surely, 214300563006401 is an apocalyptic number.

It is an amenable number.

14300563006401 is a deficient number, since it is larger than the sum of its proper divisors (8418265430079).

14300563006401 is a wasteful number, since it uses less digits than its factorization.

14300563006401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298806245.

The product of its (nonzero) digits is 25920, while the sum is 33.

Adding to 14300563006401 its reverse (10460036500341), we get a palindrome (24760599506742).

The spelling of 14300563006401 in words is "fourteen trillion, three hundred billion, five hundred sixty-three million, six thousand, four hundred one".

Divisors: 1 3 7 21 43 53 129 159 301 371 903 1113 2279 6837 15953 47859 298806139 896418417 2091642973 6274928919 12848663977 15836725367 38545991931 47510176101 89940647839 110857077569 269821943517 332571232707 680979190781 2042937572343 4766854335467 14300563006401