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20114414010 = 2325435998677
BaseRepresentation
bin10010101110111010…
…011001100110111010
31220220210211002202200
4102232322121212322
5312143242222020
613123533411030
71311311461305
oct225672314672
956823732680
1020114414010
118592075a59
123a94339a76
131b872c7132
14d8b589b3c
157cad1b590
hex4aee999ba

20114414010 has 96 divisors (see below), whose sum is σ = 53609212800. Its totient is φ = 5229753984.

The previous prime is 20114414009. The next prime is 20114414027. The reversal of 20114414010 is 1041441102.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2313792 + ... + 2322468.

It is an arithmetic number, because the mean of its divisors is an integer number (558429300).

Almost surely, 220114414010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20114414010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26804606400).

20114414010 is an abundant number, since it is smaller than the sum of its proper divisors (33494798790).

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

20114414010 is a wasteful number, since it uses less digits than its factorization.

20114414010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9332 (or 9329 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 20114414010 its reverse (1041441102), we get a palindrome (21155855112).

The spelling of 20114414010 in words is "twenty billion, one hundred fourteen million, four hundred fourteen thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 43 45 86 90 129 215 258 387 430 599 645 774 1198 1290 1797 1935 2995 3594 3870 5391 5990 8677 8985 10782 17354 17970 25757 26031 26955 43385 51514 52062 53910 77271 78093 86770 128785 130155 154542 156186 231813 257570 260310 373111 386355 390465 463626 746222 772710 780930 1119333 1159065 1865555 2238666 2318130 3357999 3731110 5197523 5596665 6715998 10395046 11193330 15592569 16789995 25987615 31185138 33579990 46777707 51975230 77962845 93555414 155925690 223493489 233888535 446986978 467777070 670480467 1117467445 1340960934 2011441401 2234934890 3352402335 4022882802 6704804670 10057207005 20114414010