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5144120020 = 22513215110079
BaseRepresentation
bin1001100101001110…
…10000101011010100
3111021111120101001201
410302213100223110
541013343320040
62210240202244
7241322204314
oct46247205324
914244511051
105144120020
1121aa7a3566
12bb6909384
1363c97c300
1436b299444
15201923a9a
hex1329d0ad4

5144120020 has 72 divisors (see below), whose sum is σ = 11776181760. Its totient is φ = 1886601600.

The previous prime is 5144120017. The next prime is 5144120077. The reversal of 5144120020 is 200214415.

It is a self number, because there is not a number n which added to its sum of digits gives 5144120020.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 505341 + ... + 515419.

It is an arithmetic number, because the mean of its divisors is an integer number (163558080).

Almost surely, 25144120020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5144120020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5888090880).

5144120020 is an abundant number, since it is smaller than the sum of its proper divisors (6632061740).

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

5144120020 is a wasteful number, since it uses less digits than its factorization.

5144120020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10265 (or 10250 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 5144120020 is about 71722.5210097916. The cubic root of 5144120020 is about 1726.2500238662.

Adding to 5144120020 its reverse (200214415), we get a palindrome (5344334435).

It can be divided in two parts, 5 and 144120020, that added together give a square (144120025 = 120052).

The spelling of 5144120020 in words is "five billion, one hundred forty-four million, one hundred twenty thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 151 169 260 302 338 604 676 755 845 1510 1690 1963 3020 3380 3926 7852 9815 10079 19630 20158 25519 39260 40316 50395 51038 100790 102076 127595 131027 201580 255190 262054 510380 524108 655135 1310270 1521929 1703351 2620540 3043858 3406702 6087716 6813404 7609645 8516755 15219290 17033510 19785077 30438580 34067020 39570154 79140308 98925385 197850770 257206001 395701540 514412002 1028824004 1286030005 2572060010 5144120020