Search a number
-
+
44552425544 = 23112291587077
BaseRepresentation
bin101001011111100010…
…000001000001001000
311020222221020201022222
4221133202001001020
51212220410104134
632244521033212
73135023240324
oct513742010110
9136887221288
1044552425544
1117992756800
128774625808
1342802834a3
142229042984
15125b4cda2e
hexa5f881048

44552425544 has 48 divisors (see below), whose sum is σ = 94986618300. Its totient is φ = 19552776320.

The previous prime is 44552425543. The next prime is 44552425597.

It is a happy number.

44552425544 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 41099452900 + 3452972644 = 202730^2 + 58762^2 .

It is a super-3 number, since 3×445524255443 (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 44552425495 and 44552425504.

It is not an unprimeable number, because it can be changed into a prime (44552425543) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 765467 + ... + 821610.

Almost surely, 244552425544 is an apocalyptic number.

44552425544 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

44552425544 is an abundant number, since it is smaller than the sum of its proper divisors (50434192756).

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

44552425544 is a wasteful number, since it uses less digits than its factorization.

44552425544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1587134 (or 1587119 counting only the distinct ones).

The product of its digits is 2560000, while the sum is 44.

The spelling of 44552425544 in words is "forty-four billion, five hundred fifty-two million, four hundred twenty-five thousand, five hundred forty-four".

Divisors: 1 2 4 8 11 22 29 44 58 88 116 121 232 242 319 484 638 968 1276 2552 3509 7018 14036 28072 1587077 3174154 6348308 12696616 17457847 34915694 46025233 69831388 92050466 139662776 184100932 192036317 368201864 384072634 506277563 768145268 1012555126 1536290536 2025110252 4050220504 5569053193 11138106386 22276212772 44552425544