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1114442000 = 24537233461
BaseRepresentation
bin100001001101101…
…0000100100010000
32212200000112000122
41002123100210100
54240244121000
6302330205412
736421413020
oct10233204420
92780015018
101114442000
11522089851
12271283868
13149b69349
14a801ba80
1567c8a085
hex426d0910

1114442000 has 160 divisors (see below), whose sum is σ = 3214508544. Its totient is φ = 365376000.

The previous prime is 1114441963. The next prime is 1114442027. The reversal of 1114442000 is 2444111.

It is a self number, because there is not a number n which added to its sum of digits gives 1114442000.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 320270 + ... + 323730.

Almost surely, 21114442000 is an apocalyptic number.

1114442000 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 1114442000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1607254272).

1114442000 is an abundant number, since it is smaller than the sum of its proper divisors (2100066544).

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

1114442000 is a wasteful number, since it uses less digits than its factorization.

1114442000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3514 (or 3498 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 1114442000 is about 33383.2592776679. The cubic root of 1114442000 is about 1036.7781207676.

Adding to 1114442000 its reverse (2444111), we get a palindrome (1116886111).

The spelling of 1114442000 in words is "one billion, one hundred fourteen million, four hundred forty-two thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 23 25 28 35 40 46 50 56 70 80 92 100 112 115 125 140 161 175 184 200 230 250 280 322 350 368 400 460 500 560 575 644 700 805 875 920 1000 1150 1288 1400 1610 1750 1840 2000 2300 2576 2800 2875 3220 3461 3500 4025 4600 5750 6440 6922 7000 8050 9200 11500 12880 13844 14000 16100 17305 20125 23000 24227 27688 32200 34610 40250 46000 48454 55376 64400 69220 79603 80500 86525 96908 121135 138440 159206 161000 173050 193816 242270 276880 318412 322000 346100 387632 398015 432625 484540 557221 605675 636824 692200 796030 865250 969080 1114442 1211350 1273648 1384400 1592060 1730500 1938160 1990075 2228884 2422700 2786105 3028375 3184120 3461000 3980150 4457768 4845400 5572210 6056750 6368240 6922000 7960300 8915536 9690800 9950375 11144420 12113500 13930525 15920600 19900750 22288840 24227000 27861050 31841200 39801500 44577680 48454000 55722100 69652625 79603000 111444200 139305250 159206000 222888400 278610500 557221000 1114442000