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20440213040 = 24513163120577
BaseRepresentation
bin10011000010010101…
…001110011000110000
31221202111212102000102
4103002111032120300
5313330143304130
613220132411532
71322345641562
oct230225163060
957674772012
1020440213040
118739a70655
123b65476ba8
131c09958a20
14dbc957332
157e9724645
hex4c254e630

20440213040 has 80 divisors (see below), whose sum is σ = 51493558368. Its totient is φ = 7500791808.

The previous prime is 20440213009. The next prime is 20440213043. The reversal of 20440213040 is 4031204402.

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

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (20440213043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 109232 + ... + 229808.

Almost surely, 220440213040 is an apocalyptic number.

20440213040 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 20440213040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25746779184).

20440213040 is an abundant number, since it is smaller than the sum of its proper divisors (31053345328).

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

20440213040 is a wasteful number, since it uses less digits than its factorization.

20440213040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120766 (or 120760 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 20440213040 its reverse (4031204402), we get a palindrome (24471417442).

The spelling of 20440213040 in words is "twenty billion, four hundred forty million, two hundred thirteen thousand, forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 163 208 260 326 520 652 815 1040 1304 1630 2119 2608 3260 4238 6520 8476 10595 13040 16952 21190 33904 42380 84760 120577 169520 241154 482308 602885 964616 1205770 1567501 1929232 2411540 3135002 4823080 6270004 7837505 9646160 12540008 15675010 19654051 25080016 31350020 39308102 62700040 78616204 98270255 125400080 157232408 196540510 255502663 314464816 393081020 511005326 786162040 1022010652 1277513315 1572324080 2044021304 2555026630 4088042608 5110053260 10220106520 20440213040