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5444153040 = 243531731741
BaseRepresentation
bin1010001000111111…
…10010111011010000
3112001102010121222210
411010133302323100
542122200344130
62300115032120
7251624352204
oct50437627320
915042117883
105444153040
11234409a837
12107b29b640
13689b8c141
1439907ab04
1521ce3c5b0
hex1447f2ed0

5444153040 has 80 divisors (see below), whose sum is σ = 17421313536. Its totient is φ = 1404940800.

The previous prime is 5444153017. The next prime is 5444153041. The reversal of 5444153040 is 403514445.

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 (30).

It is a junction number, because it is equal to n+sod(n) for n = 5444152989 and 5444153007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5444153041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 358431 + ... + 373310.

Almost surely, 25444153040 is an apocalyptic number.

It is an amenable number.

5444153040 is an abundant number, since it is smaller than the sum of its proper divisors (11977160496).

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

5444153040 is a wasteful number, since it uses less digits than its factorization.

5444153040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 731788 (or 731782 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

The square root of 5444153040 is about 73784.5040642004. The cubic root of 5444153040 is about 1759.1793091744.

Adding to 5444153040 its reverse (403514445), we get a palindrome (5847667485).

The spelling of 5444153040 in words is "five billion, four hundred forty-four million, one hundred fifty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 40 48 60 62 80 93 120 124 155 186 240 248 310 372 465 496 620 744 930 1240 1488 1860 2480 3720 7440 731741 1463482 2195223 2926964 3658705 4390446 5853928 7317410 8780892 10976115 11707856 14634820 17561784 21952230 22683971 29269640 35123568 43904460 45367942 58539280 68051913 87808920 90735884 113419855 136103826 175617840 181471768 226839710 272207652 340259565 362943536 453679420 544415304 680519130 907358840 1088830608 1361038260 1814717680 2722076520 5444153040