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20314024440 = 23355322314323
BaseRepresentation
bin10010111010110011…
…110110100111111000
31221102201102100210120
4102322303312213320
5313100342240230
613155424013240
71316254234023
oct227263664770
957381370716
1020314024440
118684812256
123b2b161220
131bb9776008
14da9caa1ba
157dd5ea310
hex4bacf69f8

20314024440 has 128 divisors (see below), whose sum is σ = 62374717440. Its totient is φ = 5290661376.

The previous prime is 20314024433. The next prime is 20314024447. The reversal of 20314024440 is 4442041302.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (20314024433) and next prime (20314024447).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 20314024440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20314024447) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1411119 + ... + 1425441.

It is an arithmetic number, because the mean of its divisors is an integer number (487302480).

Almost surely, 220314024440 is an apocalyptic number.

20314024440 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 20314024440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31187358720).

20314024440 is an abundant number, since it is smaller than the sum of its proper divisors (42060693000).

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

20314024440 is a wasteful number, since it uses less digits than its factorization.

20314024440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14613 (or 14609 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 20314024440 its reverse (4442041302), we get a palindrome (24756065742).

The spelling of 20314024440 in words is "twenty billion, three hundred fourteen million, twenty-four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 53 60 106 120 159 212 223 265 318 424 446 530 636 669 795 892 1060 1115 1272 1338 1590 1784 2120 2230 2676 3180 3345 4460 5352 6360 6690 8920 11819 13380 14323 23638 26760 28646 35457 42969 47276 57292 59095 70914 71615 85938 94552 114584 118190 141828 143230 171876 177285 214845 236380 283656 286460 343752 354570 429690 472760 572920 709140 759119 859380 1418280 1518238 1718760 2277357 3036476 3194029 3795595 4554714 6072952 6388058 7591190 9109428 9582087 11386785 12776116 15182380 15970145 18218856 19164174 22773570 25552232 30364760 31940290 38328348 45547140 47910435 63880580 76656696 91094280 95820870 127761160 169283537 191641740 338567074 383283480 507850611 677134148 846417685 1015701222 1354268296 1692835370 2031402444 2539253055 3385670740 4062804888 5078506110 6771341480 10157012220 20314024440