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5440556544 = 29331114259
BaseRepresentation
bin1010001000100100…
…00100111000000000
3112001011100220112020
411010102010320000
542120240302134
62255510001440
7251551652613
oct50422047000
915034326466
105440556544
112342063725
12107a046280
13689200137
143987c217a
1521c97bb49
hex144484e00

5440556544 has 80 divisors (see below), whose sum is σ = 14961661440. Its totient is φ = 1755002880.

The previous prime is 5440556521. The next prime is 5440556573. The reversal of 5440556544 is 4456550445.

It is a super-2 number, since 2×54405565442 = 59199311016922447872, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 5440556496 and 5440556505.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9514 + ... + 104745.

It is an arithmetic number, because the mean of its divisors is an integer number (187020768).

Almost surely, 25440556544 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 5440556544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7480830720).

5440556544 is an abundant number, since it is smaller than the sum of its proper divisors (9521104896).

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

5440556544 is a wasteful number, since it uses less digits than its factorization.

5440556544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114311 (or 114295 counting only the distinct ones).

The product of its (nonzero) digits is 960000, while the sum is 42.

The square root of 5440556544 is about 73760.1284163741. The cubic root of 5440556544 is about 1758.7918430233.

The spelling of 5440556544 in words is "five billion, four hundred forty million, five hundred fifty-six thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 128 186 192 248 256 372 384 496 512 744 768 992 1488 1536 1984 2976 3968 5952 7936 11904 15872 23808 47616 114259 228518 342777 457036 685554 914072 1371108 1828144 2742216 3542029 3656288 5484432 7084058 7312576 10626087 10968864 14168116 14625152 21252174 21937728 28336232 29250304 42504348 43875456 56672464 58500608 85008696 87750912 113344928 170017392 175501824 226689856 340034784 453379712 680069568 906759424 1360139136 1813518848 2720278272 5440556544