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5430444240 = 2435131740527
BaseRepresentation
bin1010000111010111…
…00000000011010000
3112000110100011001110
411003223200003100
542110143203430
62254505133320
7251400004644
oct50353400320
915013304043
105430444240
112337387151
12107678a240
1368709c420
1439730cc24
1521bb307b0
hex143ae00d0

5430444240 has 80 divisors (see below), whose sum is σ = 18129339648. Its totient is φ = 1336723968.

The previous prime is 5430444209. The next prime is 5430444241. The reversal of 5430444240 is 424440345.

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 = 5430444198 and 5430444207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5430444241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 867144 + ... + 873383.

Almost surely, 25430444240 is an apocalyptic number.

It is an amenable number.

5430444240 is an abundant number, since it is smaller than the sum of its proper divisors (12698895408).

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

5430444240 is a wasteful number, since it uses less digits than its factorization.

5430444240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1740556 (or 1740550 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 30.

The square root of 5430444240 is about 73691.5479549724. The cubic root of 5430444240 is about 1757.7014846970.

Adding to 5430444240 its reverse (424440345), we get a palindrome (5854884585).

The spelling of 5430444240 in words is "five billion, four hundred thirty million, four hundred forty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 312 390 520 624 780 1040 1560 3120 1740527 3481054 5221581 6962108 8702635 10443162 13924216 17405270 20886324 22626851 26107905 27848432 34810540 41772648 45253702 52215810 67880553 69621080 83545296 90507404 104431620 113134255 135761106 139242160 181014808 208863240 226268510 271522212 339402765 362029616 417726480 452537020 543044424 678805530 905074040 1086088848 1357611060 1810148080 2715222120 5430444240