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12445024240 = 2451121817103
BaseRepresentation
bin10111001011100011…
…11111111111110000
31012010022111201211201
423211301333333300
5200441411233430
65414524020544
7620253650335
oct134561777760
935108451751
1012445024240
115306989a00
1224b3991754
13123440b78c
14860b8298c
154cc8798ca
hex2e5c7fff0

12445024240 has 120 divisors (see below), whose sum is σ = 31984452864. Its totient is φ = 4499827200.

The previous prime is 12445024223. The next prime is 12445024247. The reversal of 12445024240 is 4242054421.

It is a junction number, because it is equal to n+sod(n) for n = 12445024199 and 12445024208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12445024247) 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 23 ways as a sum of consecutive naturals, for example, 1748529 + ... + 1755631.

Almost surely, 212445024240 is an apocalyptic number.

12445024240 is a gapful number since it is divisible by the number (10) 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 12445024240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15992226432).

12445024240 is an abundant number, since it is smaller than the sum of its proper divisors (19539428624).

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

12445024240 is a wasteful number, since it uses less digits than its factorization.

12445024240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7319 (or 7302 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 28.

Adding to 12445024240 its reverse (4242054421), we get a palindrome (16687078661).

The spelling of 12445024240 in words is "twelve billion, four hundred forty-five million, twenty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 121 176 181 220 242 362 440 484 605 724 880 905 968 1210 1448 1810 1936 1991 2420 2896 3620 3982 4840 7103 7240 7964 9680 9955 14206 14480 15928 19910 21901 28412 31856 35515 39820 43802 56824 71030 78133 79640 87604 109505 113648 142060 156266 159280 175208 219010 284120 312532 350416 390665 438020 568240 625064 781330 859463 876040 1250128 1285643 1562660 1718926 1752080 2571286 3125320 3437852 4297315 5142572 6250640 6428215 6875704 8594630 10285144 12856430 13751408 14142073 17189260 20570288 25712860 28284146 34378520 51425720 56568292 68757040 70710365 102851440 113136584 141420730 155562803 226273168 282841460 311125606 565682920 622251212 777814015 1131365840 1244502424 1555628030 2489004848 3111256060 6222512120 12445024240