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20041442000 = 245367149563
BaseRepresentation
bin10010101010100100…
…000010001011010000
31220201201111201222122
4102222210002023100
5312021102121000
613112405353412
71306434306026
oct225244021320
956651451878
1020041442000
118554965008
123a73a08868
131b75157928
14d819d2716
157c4705085
hex4aa9022d0

20041442000 has 80 divisors (see below), whose sum is σ = 49183822272. Its totient is φ = 7896873600.

The previous prime is 20041441997. The next prime is 20041442023. The reversal of 20041442000 is 24414002.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 20041442000.

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, 59219 + ... + 208781.

Almost surely, 220041442000 is an apocalyptic number.

20041442000 is a gapful number since it is divisible by the number (20) 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 20041442000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24591911136).

20041442000 is an abundant number, since it is smaller than the sum of its proper divisors (29142380272).

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

20041442000 is a wasteful number, since it uses less digits than its factorization.

20041442000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149653 (or 149637 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 17.

Adding to 20041442000 its reverse (24414002), we get a palindrome (20065856002).

The spelling of 20041442000 in words is "twenty billion, forty-one million, four hundred forty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 67 80 100 125 134 200 250 268 335 400 500 536 670 1000 1072 1340 1675 2000 2680 3350 5360 6700 8375 13400 16750 26800 33500 67000 134000 149563 299126 598252 747815 1196504 1495630 2393008 2991260 3739075 5982520 7478150 10020721 11965040 14956300 18695375 20041442 29912600 37390750 40082884 50103605 59825200 74781500 80165768 100207210 149563000 160331536 200414420 250518025 299126000 400828840 501036050 801657680 1002072100 1252590125 2004144200 2505180250 4008288400 5010360500 10020721000 20041442000