Search a number
-
+
14145306454131 = 3174121033115971
BaseRepresentation
bin1100110111010111010111…
…1101110110100001110011
31212002021111201122122002220
43031311311331312201303
53323224041423013011
650030133012412123
72656651611004446
oct315656575664163
955067451578086
1014145306454131
114563a997a9306
121705556617043
137b7b86cc2218
1436c8ca73165d
15197e4290c506
hexcdd75f76873

14145306454131 has 48 divisors (see below), whose sum is σ = 20472056567424. Its totient is φ = 8657630848000.

The previous prime is 14145306454099. The next prime is 14145306454207. The reversal of 14145306454131 is 13145460354141.

It is not a de Polignac number, because 14145306454131 - 25 = 14145306454099 is a prime.

It is a super-2 number, since 2×141453064541312 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (14145306450131) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 885678976 + ... + 885694946.

It is an arithmetic number, because the mean of its divisors is an integer number (426501178488).

Almost surely, 214145306454131 is an apocalyptic number.

14145306454131 is a deficient number, since it is larger than the sum of its proper divisors (6326750113293).

14145306454131 is a wasteful number, since it uses less digits than its factorization.

14145306454131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26404 (or 26363 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 42.

The spelling of 14145306454131 in words is "fourteen trillion, one hundred forty-five billion, three hundred six million, four hundred fifty-four thousand, one hundred thirty-one".

Divisors: 1 3 17 41 51 123 697 1681 2091 5043 10331 15971 28577 30993 47913 85731 175627 271507 423571 526881 654811 814521 1270713 1964433 7200707 11131787 17366411 21602121 26847251 33395361 52099233 80541753 164996401 295228987 456403267 494989203 885686961 1369209801 2804938817 6764852441 8414816451 20294557323 115002491497 277358950081 345007474491 832076850243 4715102151377 14145306454131