Search a number
-
+
14402312131141 = 114744636241871
BaseRepresentation
bin1101000110010100110010…
…1100101101001001000101
31212222211212220011202102001
43101211030230231021011
53341431413401144031
650344155244145301
73014350502136514
oct321451454551105
955884786152361
1014402312131141
114652a93804370
121747321238231
138061945c400c
1437b10b73a67b
1519e9857b2861
hexd194cb2d245

14402312131141 has 16 divisors (see below), whose sum is σ = 16049500766208. Its totient is φ = 12811563012400.

The previous prime is 14402312131139. The next prime is 14402312131213. The reversal of 14402312131141 is 14113121320441.

It is a cyclic number.

It is not a de Polignac number, because 14402312131141 - 21 = 14402312131139 is a prime.

It is a super-2 number, since 2×144023121311412 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14402312131541) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 813565 + ... + 5428306.

It is an arithmetic number, because the mean of its divisors is an integer number (1003093797888).

Almost surely, 214402312131141 is an apocalyptic number.

14402312131141 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

14402312131141 is a deficient number, since it is larger than the sum of its proper divisors (1647188635067).

14402312131141 is a wasteful number, since it uses less digits than its factorization.

14402312131141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6246392.

The product of its (nonzero) digits is 2304, while the sum is 28.

Adding to 14402312131141 its reverse (14113121320441), we get a palindrome (28515433451582).

The spelling of 14402312131141 in words is "fourteen trillion, four hundred two billion, three hundred twelve million, one hundred thirty-one thousand, one hundred forty-one".

Divisors: 1 11 47 517 4463 49093 209761 2307371 6241871 68660581 293367937 3227047307 27857470273 306432173003 1309301102831 14402312131141