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13212140031424 = 26678233743851
BaseRepresentation
bin1100000001000011000011…
…1010011100110111000000
31201210001211202101201010101
43000100300322130313000
53212431430322001144
644033323501412144
72532355101203125
oct300206072346700
951701752351111
1013212140031424
114234267676214
121594726b6a054
1374ab9015a829
1433968457674c
1517da287dc6d4
hexc0430e9cdc0

13212140031424 has 56 divisors (see below), whose sum is σ = 26641490438528. Its totient is φ = 6499563206400.

The previous prime is 13212140031383. The next prime is 13212140031439. The reversal of 13212140031424 is 42413004121231.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 13212140031392 and 13212140031401.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1657099 + ... + 5400949.

It is an arithmetic number, because the mean of its divisors is an integer number (475740900688).

Almost surely, 213212140031424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13212140031424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13320745219264).

13212140031424 is an abundant number, since it is smaller than the sum of its proper divisors (13429350407104).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13212140031424 is an equidigital number, since it uses as much as digits as its factorization.

13212140031424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3744753 (or 3744743 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 13212140031424 its reverse (42413004121231), we get a palindrome (55625144152655).

The spelling of 13212140031424 in words is "thirteen trillion, two hundred twelve billion, one hundred forty million, thirty-one thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 32 64 67 134 268 536 823 1072 1646 2144 3292 4288 6584 13168 26336 52672 55141 110282 220564 441128 882256 1764512 3529024 3743851 7487702 14975404 29950808 59901616 119803232 239606464 250838017 501676034 1003352068 2006704136 3081189373 4013408272 6162378746 8026816544 12324757492 16053633088 24649514984 49299029968 98598059936 197196119872 206439687991 412879375982 825758751964 1651517503928 3303035007856 6606070015712 13212140031424