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13144405443432 = 2332292391631267
BaseRepresentation
bin1011111101000110101110…
…0111100000001101101000
31201112121000012211010022020
42333101223213200031220
53210324220243142212
643542242334224440
72524436422540164
oct277215347401550
951477005733266
1013144405443432
11420856922077a
121583582955120
13744687167c73
1433629a787ca4
1517bdb2019d8c
hexbf46b9e0368

13144405443432 has 32 divisors (see below), whose sum is σ = 33004511498400. Its totient is φ = 4362335429184.

The previous prime is 13144405443361. The next prime is 13144405443437. The reversal of 13144405443432 is 23434450444131.

It is a super-2 number, since 2×131444054434322 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13144405443437) 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 7 ways as a sum of consecutive naturals, for example, 1195810138 + ... + 1195821129.

It is an arithmetic number, because the mean of its divisors is an integer number (1031390984325).

Almost surely, 213144405443432 is an apocalyptic number.

13144405443432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13144405443432 is an abundant number, since it is smaller than the sum of its proper divisors (19860106054968).

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

13144405443432 is a wasteful number, since it uses less digits than its factorization.

13144405443432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2391631505 (or 2391631501 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 42.

Adding to 13144405443432 its reverse (23434450444131), we get a palindrome (36578855887563).

The spelling of 13144405443432 in words is "thirteen trillion, one hundred forty-four billion, four hundred five million, four hundred forty-three thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 24 229 458 687 916 1374 1832 2748 5496 2391631267 4783262534 7174893801 9566525068 14349787602 19133050136 28699575204 57399150408 547683560143 1095367120286 1643050680429 2190734240572 3286101360858 4381468481144 6572202721716 13144405443432