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5431414440 = 233575759791
BaseRepresentation
bin1010000111011110…
…01100111010101000
3112000112011102220210
411003233030322220
542110420230230
62254542021120
7251411155344
oct50357147250
915015142823
105431414440
11233798a071
121076b777a0
1368734bbca
143974c2624
1521bc72eb0
hex143bccea8

5431414440 has 64 divisors (see below), whose sum is σ = 16316040960. Its totient is φ = 1446439680.

The previous prime is 5431414433. The next prime is 5431414459. The reversal of 5431414440 is 444141345.

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 = 5431414398 and 5431414407.

It is an unprimeable number.

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, 60945 + ... + 120735.

It is an arithmetic number, because the mean of its divisors is an integer number (254938140).

Almost surely, 25431414440 is an apocalyptic number.

It is an amenable number.

5431414440 is an abundant number, since it is smaller than the sum of its proper divisors (10884626520).

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

5431414440 is a wasteful number, since it uses less digits than its factorization.

5431414440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60562 (or 60558 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

The square root of 5431414440 is about 73698.1305054613. The cubic root of 5431414440 is about 1757.8061551044.

Adding to 5431414440 its reverse (444141345), we get a palindrome (5875555785).

It can be divided in two parts, 543141 and 4440, that added together give a triangular number (547581 = T1046).

The spelling of 5431414440 in words is "five billion, four hundred thirty-one million, four hundred fourteen thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 757 1514 2271 3028 3785 4542 6056 7570 9084 11355 15140 18168 22710 30280 45420 59791 90840 119582 179373 239164 298955 358746 478328 597910 717492 896865 1195820 1434984 1793730 2391640 3587460 7174920 45261787 90523574 135785361 181047148 226308935 271570722 362094296 452617870 543141444 678926805 905235740 1086282888 1357853610 1810471480 2715707220 5431414440