Search a number
-
+
12241117735455 = 3572113147385681
BaseRepresentation
bin1011001000100001101101…
…1110010110101000011111
31121100020110112122011120210
42302020123132112220133
53101024302120013310
642011254123543503
72402251210651200
oct262103336265037
947306415564523
1012241117735455
11399a479922254
1214584b168ab93
136aa44251172b
1430468a8a55a7
15163646067820
hexb221b796a1f

12241117735455 has 48 divisors (see below), whose sum is σ = 22985091879264. Its totient is φ = 5546417909760.

The previous prime is 12241117735453. The next prime is 12241117735501. The reversal of 12241117735455 is 55453771114221.

It is a happy number.

It is not a de Polignac number, because 12241117735455 - 21 = 12241117735453 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12241117735453) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 73609786 + ... + 73775895.

It is an arithmetic number, because the mean of its divisors is an integer number (478856080818).

Almost surely, 212241117735455 is an apocalyptic number.

12241117735455 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

12241117735455 is a deficient number, since it is larger than the sum of its proper divisors (10743974143809).

12241117735455 is a wasteful number, since it uses less digits than its factorization.

12241117735455 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147385816 (or 147385809 counting only the distinct ones).

The product of its digits is 1176000, while the sum is 48.

Adding to 12241117735455 its reverse (55453771114221), we get a palindrome (67694888849676).

The spelling of 12241117735455 in words is "twelve trillion, two hundred forty-one billion, one hundred seventeen million, seven hundred thirty-five thousand, four hundred fifty-five".

Divisors: 1 3 5 7 15 21 35 49 105 113 147 245 339 565 735 791 1695 2373 3955 5537 11865 16611 27685 83055 147385681 442157043 736928405 1031699767 2210785215 3095099301 5158498835 7221898369 15475496505 16654581953 21665695107 36109491845 49963745859 83272909765 108328475535 116582073671 249818729295 349746221013 582910368355 816074515697 1748731105065 2448223547091 4080372578485 12241117735455