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12444104000 = 26532367631
BaseRepresentation
bin10111001011011100…
…11111010101000000
31012010020202222111202
423211232133111000
5200441142312000
65414452200332
7620243065406
oct134556372500
935106688452
1012444104000
115306410579
1224b36090a8
131234178963
148609c3476
154cc746dd5
hex2e5b9f540

12444104000 has 112 divisors (see below), whose sum is σ = 32158204416. Its totient is φ = 4761152000.

The previous prime is 12444103999. The next prime is 12444104047. The reversal of 12444104000 is 40144421.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 150185 + ... + 217815.

Almost surely, 212444104000 is an apocalyptic number.

12444104000 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 12444104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16079102208).

12444104000 is an abundant number, since it is smaller than the sum of its proper divisors (19714100416).

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

12444104000 is an equidigital number, since it uses as much as digits as its factorization.

12444104000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67681 (or 67661 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 12444104000 its reverse (40144421), we get a palindrome (12484248421).

The spelling of 12444104000 in words is "twelve billion, four hundred forty-four million, one hundred four thousand".

Divisors: 1 2 4 5 8 10 16 20 23 25 32 40 46 50 64 80 92 100 115 125 160 184 200 230 250 320 368 400 460 500 575 736 800 920 1000 1150 1472 1600 1840 2000 2300 2875 3680 4000 4600 5750 7360 8000 9200 11500 18400 23000 36800 46000 67631 92000 135262 184000 270524 338155 541048 676310 1082096 1352620 1555513 1690775 2164192 2705240 3111026 3381550 4328384 5410480 6222052 6763100 7777565 8453875 10820960 12444104 13526200 15555130 16907750 21641920 24888208 27052400 31110260 33815500 38887825 49776416 54104800 62220520 67631000 77775650 99552832 108209600 124441040 135262000 155551300 194439125 248882080 270524000 311102600 388878250 497764160 541048000 622205200 777756500 1244410400 1555513000 2488820800 3111026000 6222052000 12444104000