Search a number
-
+
14101555510141 = 115364337617289
BaseRepresentation
bin1100110100110100011000…
…1101001111101101111101
31211221002120122112101202221
43031031012031033231331
53322014441202311031
645554055402045341
72653542456061051
oct315150615175575
954832518471687
1014101555510141
114547488505560
1216b8b864a9851
137b3a03ac0098
1436a739d21c61
15196c31999a11
hexcd34634fb7d

14101555510141 has 16 divisors (see below), whose sum is σ = 15698146524480. Its totient is φ = 12558155425920.

The previous prime is 14101555510111. The next prime is 14101555510183.

14101555510141 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 14101555510141 - 235 = 14067195771773 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 14101555510097 and 14101555510106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14101555510111) 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, 18433776 + ... + 19183513.

It is an arithmetic number, because the mean of its divisors is an integer number (981134157780).

Almost surely, 214101555510141 is an apocalyptic number.

14101555510141 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

14101555510141 is a deficient number, since it is larger than the sum of its proper divisors (1596591014339).

14101555510141 is a wasteful number, since it uses less digits than its factorization.

14101555510141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37617996.

The product of its (nonzero) digits is 10000, while the sum is 34.

It can be divided in two parts, 1410155 and 5510141, that added together give a palindrome (6920296).

The spelling of 14101555510141 in words is "fourteen trillion, one hundred one billion, five hundred fifty-five million, five hundred ten thousand, one hundred forty-one".

Divisors: 1 11 53 583 643 7073 34079 374869 37617289 413790179 1993716317 21930879487 24187916827 266067085097 1281959591831 14101555510141