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5314419540 = 2232529524553
BaseRepresentation
bin1001111001100001…
…11001101101010100
3111201101000111002100
410330300321231110
541340442411130
62235202242100
7245460551343
oct47460715524
914641014070
105314419540
112287940071
121043956330
13669037a61
14385b49b5a
15211862c60
hex13cc39b54

5314419540 has 36 divisors (see below), whose sum is σ = 16120406484. Its totient is φ = 1417178496.

The previous prime is 5314419503. The next prime is 5314419547. The reversal of 5314419540 is 459144135.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 915546564 + 4398872976 = 30258^2 + 66324^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5314419495 and 5314419504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5314419547) 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 11 ways as a sum of consecutive naturals, for example, 14762097 + ... + 14762456.

It is an arithmetic number, because the mean of its divisors is an integer number (447789069).

Almost surely, 25314419540 is an apocalyptic number.

It is an amenable number.

5314419540 is an abundant number, since it is smaller than the sum of its proper divisors (10805986944).

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

5314419540 is a wasteful number, since it uses less digits than its factorization.

5314419540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29524568 (or 29524563 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 5314419540 is about 72900.0654320694. The cubic root of 5314419540 is about 1745.0931431414.

The spelling of 5314419540 in words is "five billion, three hundred fourteen million, four hundred nineteen thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 29524553 59049106 88573659 118098212 147622765 177147318 265720977 295245530 354294636 442868295 531441954 590491060 885736590 1062883908 1328604885 1771473180 2657209770 5314419540