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5141331540 = 2232585733329
BaseRepresentation
bin1001100100111001…
…00111111001010100
3111021022022200222200
410302130213321110
541012140102130
62210100324500
7241256411532
oct46234477124
914238280880
105141331540
1121a9169534
12bb59a3730
1363c214017
1436ab71152
15201572760
hex132727e54

5141331540 has 72 divisors (see below), whose sum is σ = 15614038440. Its totient is φ = 1369380864.

The previous prime is 5141331491. The next prime is 5141331553. The reversal of 5141331540 is 451331415.

It is a happy number.

5141331540 is a `hidden beast` number, since 51 + 41 + 3 + 31 + 540 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2039064336 + 3102267204 = 45156^2 + 55698^2 .

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 137596 + ... + 170924.

It is an arithmetic number, because the mean of its divisors is an integer number (216861645).

Almost surely, 25141331540 is an apocalyptic number.

It is an amenable number.

5141331540 is an abundant number, since it is smaller than the sum of its proper divisors (10472706900).

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

5141331540 is a wasteful number, since it uses less digits than its factorization.

5141331540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34201 (or 34196 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 5141331540 is about 71703.0790133869. The cubic root of 5141331540 is about 1725.9380506046.

Adding to 5141331540 its reverse (451331415), we get a palindrome (5592662955).

The spelling of 5141331540 in words is "five billion, one hundred forty-one million, three hundred thirty-one thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 857 1714 2571 3428 4285 5142 7713 8570 10284 12855 15426 17140 25710 30852 33329 38565 51420 66658 77130 99987 133316 154260 166645 199974 299961 333290 399948 499935 599922 666580 999870 1199844 1499805 1999740 2999610 5999220 28562953 57125906 85688859 114251812 142814765 171377718 257066577 285629530 342755436 428444295 514133154 571259060 856888590 1028266308 1285332885 1713777180 2570665770 5141331540