Search a number
-
+
20040122440 = 2351361362869
BaseRepresentation
bin10010101010011111…
…000000000001001000
31220201122000200220001
4102222133000001020
5312020232404230
613112321212344
71306420141642
oct225237000110
956648020801
1020040122440
118554143668
123a734910b4
131b74ab5120
14d8176b892
157c45440ca
hex4aa7c0048

20040122440 has 64 divisors (see below), whose sum is σ = 48638746800. Its totient is φ = 7387241472.

The previous prime is 20040122423. The next prime is 20040122471. The reversal of 20040122440 is 4422104002.

It can be written as a sum of positive squares in 8 ways, for example, as 18438436 + 20021684004 = 4294^2 + 141498^2 .

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, 287326 + ... + 350194.

Almost surely, 220040122440 is an apocalyptic number.

20040122440 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 20040122440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24319373400).

20040122440 is an abundant number, since it is smaller than the sum of its proper divisors (28598624360).

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

20040122440 is a wasteful number, since it uses less digits than its factorization.

20040122440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63506 (or 63502 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 19.

Adding to 20040122440 its reverse (4422104002), we get a palindrome (24462226442).

The spelling of 20040122440 in words is "twenty billion, forty million, one hundred twenty-two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 613 1226 2452 3065 4904 6130 7969 12260 15938 24520 31876 39845 62869 63752 79690 125738 159380 251476 314345 318760 502952 628690 817297 1257380 1634594 2514760 3269188 4086485 6538376 8172970 16345940 32691880 38538697 77077394 154154788 192693485 308309576 385386970 501003061 770773940 1002006122 1541547880 2004012244 2505015305 4008024488 5010030610 10020061220 20040122440