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12514043111232 = 263139715163377
BaseRepresentation
bin1011011000011010011100…
…0110000010011101000000
31122022022221011212210002210
42312012213012002131000
53120012230014024412
642340512205542120
72431052440244205
oct266064706023500
948268834783083
1012514043111232
113a951a3106653
1214a137b874940
136ca0b9062220
1431397bcdbcac
1516a7bb85083c
hexb61a7182740

12514043111232 has 112 divisors (see below), whose sum is σ = 35693729894592. Its totient is φ = 3846508584960.

The previous prime is 12514043111231. The next prime is 12514043111239. The reversal of 12514043111232 is 23211134041521.

It is a self number, because there is not a number n which added to its sum of digits gives 12514043111232.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12514043111231) 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, 158073 + ... + 5005304.

It is an arithmetic number, because the mean of its divisors is an integer number (318694016916).

Almost surely, 212514043111232 is an apocalyptic number.

12514043111232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12514043111232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17846864947296).

12514043111232 is an abundant number, since it is smaller than the sum of its proper divisors (23179686783360).

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

12514043111232 is a wasteful number, since it uses less digits than its factorization.

12514043111232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5164376 (or 5164366 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

Adding to 12514043111232 its reverse (23211134041521), we get a palindrome (35725177152753).

The spelling of 12514043111232 in words is "twelve trillion, five hundred fourteen billion, forty-three million, one hundred eleven thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 156 192 208 312 416 624 832 971 1248 1942 2496 2913 3884 5826 7768 11652 12623 15536 23304 25246 31072 37869 46608 50492 62144 75738 93216 100984 151476 186432 201968 302952 403936 605904 807872 1211808 2423616 5163377 10326754 15490131 20653508 30980262 41307016 61960524 67123901 82614032 123921048 134247802 165228064 201371703 247842096 268495604 330456128 402743406 495684192 536991208 805486812 991368384 1073982416 1610973624 2147964832 3221947248 4295929664 5013639067 6443894496 10027278134 12887788992 15040917201 20054556268 30081834402 40109112536 60163668804 65177307871 80218225072 120327337608 130354615742 160436450144 195531923613 240654675216 260709231484 320872900288 391063847226 481309350432 521418462968 782127694452 962618700864 1042836925936 1564255388904 2085673851872 3128510777808 4171347703744 6257021555616 12514043111232