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14205100150241 = 7111373194396017
BaseRepresentation
bin1100111010110110000111…
…1100101100110111100001
31212021222211212001010010022
43032231201330230313201
53330214021114301431
650113422151043225
72664166424021210
oct316554174546741
955258755033108
1014205100150241
114587392788190
121715063370515
137c06c5a989b0
1437175da41077
15199791ead07b
hexceb61f2cde1

14205100150241 has 32 divisors (see below), whose sum is σ = 19333850366208. Its totient is φ = 10077489469440.

The previous prime is 14205100150237. The next prime is 14205100150303.

It is a happy number.

14205100150241 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 14205100150241 - 22 = 14205100150237 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 14205100150241.

It is not an unprimeable number, because it can be changed into a prime (14205100150201) 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, 97124936 + ... + 97271081.

It is an arithmetic number, because the mean of its divisors is an integer number (604182823944).

Almost surely, 214205100150241 is an apocalyptic number.

14205100150241 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

14205100150241 is a deficient number, since it is larger than the sum of its proper divisors (5128750215967).

14205100150241 is a wasteful number, since it uses less digits than its factorization.

14205100150241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194396121.

The product of its (nonzero) digits is 1600, while the sum is 26.

It can be divided in two parts, 14205100 and 150241, that added together give a palindrome (14355341).

The spelling of 14205100150241 in words is "fourteen trillion, two hundred five billion, one hundred million, one hundred fifty thousand, two hundred forty-one".

Divisors: 1 7 11 13 73 77 91 143 511 803 949 1001 5621 6643 10439 73073 194396017 1360772119 2138356187 2527148221 14190909241 14968493309 17690037547 27798630431 99336364687 156100001651 184481820133 194590413017 1092700011557 1291372740931 2029300021463 14205100150241