Search a number
-
+
5214444125 = 531131711723
BaseRepresentation
bin1001101101100111…
…00001101001011101
3111110101220012121012
410312303201221131
541134344203000
62221231345005
7243135021002
oct46663415135
914411805535
105214444125
112236466060
121016382165
136514024c7
143767638a9
15207bb5735
hex136ce1a5d

5214444125 has 64 divisors (see below), whose sum is σ = 7435763712. Its totient is φ = 3616200000.

The previous prime is 5214444107. The next prime is 5214444143.

5214444125 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (5214444107) and next prime (5214444143).

It is not a de Polignac number, because 5214444125 - 28 = 5214443869 is a prime.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 5214444091 and 5214444100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3025514 + ... + 3027236.

It is an arithmetic number, because the mean of its divisors is an integer number (116183808).

Almost surely, 25214444125 is an apocalyptic number.

5214444125 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

5214444125 is a deficient number, since it is larger than the sum of its proper divisors (2221319587).

5214444125 is a wasteful number, since it uses less digits than its factorization.

5214444125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1851 (or 1841 counting only the distinct ones).

The product of its digits is 25600, while the sum is 32.

The square root of 5214444125 is about 72211.1080443999. The cubic root of 5214444125 is about 1734.0808387295.

It can be divided in two parts, 52144 and 44125, that added together give a palindrome (96269).

The spelling of 5214444125 in words is "five billion, two hundred fourteen million, four hundred forty-four thousand, one hundred twenty-five".

Divisors: 1 5 11 25 31 55 71 125 155 275 341 355 775 781 1375 1705 1723 1775 2201 3875 3905 8525 8615 8875 11005 18953 19525 24211 42625 43075 53413 55025 94765 97625 121055 122333 215375 267065 275125 473825 587543 605275 611665 1335325 1345663 2369125 2937715 3026375 3058325 3792323 6676625 6728315 14688575 15291625 18961615 33641575 41715553 73442875 94808075 168207875 208577765 474040375 1042888825 5214444125