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12440251032 = 2331128594987
BaseRepresentation
bin10111001010111111…
…10010101010011000
31012002222112020020020
423211133302222120
5200434201013112
65414233430440
7620165250306
oct134537625230
935088466206
1012440251032
115304219800
1224b226b420
131233429cb1
1486029d276
154cc23548c
hex2e57f2a98

12440251032 has 96 divisors (see below), whose sum is σ = 34231646400. Its totient is φ = 3764629440.

The previous prime is 12440251027. The next prime is 12440251039. The reversal of 12440251032 is 23015204421.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 12440250993 and 12440251011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12440251039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2492043 + ... + 2497029.

It is an arithmetic number, because the mean of its divisors is an integer number (356579650).

Almost surely, 212440251032 is an apocalyptic number.

12440251032 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 12440251032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17115823200).

12440251032 is an abundant number, since it is smaller than the sum of its proper divisors (21791395368).

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

12440251032 is a wasteful number, since it uses less digits than its factorization.

12440251032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5877 (or 5862 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

Adding to 12440251032 its reverse (23015204421), we get a palindrome (35455455453).

The spelling of 12440251032 in words is "twelve billion, four hundred forty million, two hundred fifty-one thousand, thirty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 121 132 242 264 363 484 726 859 968 1452 1718 2577 2904 3436 4987 5154 6872 9449 9974 10308 14961 18898 19948 20616 28347 29922 37796 39896 54857 56694 59844 75592 103939 109714 113388 119688 164571 207878 219428 226776 311817 329142 415756 438856 603427 623634 658284 831512 1206854 1247268 1316568 1810281 2413708 2494536 3620562 4283833 4827416 7241124 8567666 12851499 14482248 17135332 25702998 34270664 47122163 51405996 94244326 102811992 141366489 188488652 282732978 376977304 518343793 565465956 1036687586 1130931912 1555031379 2073375172 3110062758 4146750344 6220125516 12440251032