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12043114131344 = 2419312767461843
BaseRepresentation
bin1010111101000000000110…
…0010100010111110010000
31120122022101022220220101212
42233100001202202332100
53034303244204200334
641340310311315252
72352041411045312
oct257200142427620
946568338826355
1012043114131344
113923501a6690a
12142605267bb28
136948789a72ca
142d8c659c17b2
1515d407ee2ece
hexaf4018a2f90

12043114131344 has 80 divisors (see below), whose sum is σ = 25363142369280. Its totient is φ = 5518605479040.

The previous prime is 12043114131343. The next prime is 12043114131361. The reversal of 12043114131344 is 44313141134021.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 12043114131344.

It is not an unprimeable number, because it can be changed into a prime (12043114131341) 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, 25845287 + ... + 26307129.

It is an arithmetic number, because the mean of its divisors is an integer number (317039279616).

Almost surely, 212043114131344 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 12043114131344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12681571184640).

12043114131344 is an abundant number, since it is smaller than the sum of its proper divisors (13320028237936).

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

12043114131344 is a wasteful number, since it uses less digits than its factorization.

12043114131344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 464668 (or 464662 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

Adding to 12043114131344 its reverse (44313141134021), we get a palindrome (56356255265365).

The spelling of 12043114131344 in words is "twelve trillion, forty-three billion, one hundred fourteen million, one hundred thirty-one thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 19 31 38 62 76 124 152 248 304 496 589 1178 2356 2767 4712 5534 9424 11068 22136 44272 52573 85777 105146 171554 210292 343108 420584 461843 686216 841168 923686 1372432 1629763 1847372 3259526 3694744 6519052 7389488 8775017 13038104 14317133 17550034 26076208 28634266 35100068 57268532 70200136 114537064 140400272 229074128 272025527 544051054 1088102108 1277919581 2176204216 2555839162 4352408432 5111678324 10223356648 20446713296 24280472039 39615507011 48560944078 79231014022 97121888156 158462028044 194243776312 316924056088 388487552624 633848112176 752694633209 1505389266418 3010778532836 6021557065672 12043114131344