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545314611240 = 233257442148947
BaseRepresentation
bin1111110111101110100…
…10001010000000101000
31221010112220122110210100
413323313102022000220
532413301020024430
61054303012345400
754253255500510
oct7736722120050
91833486573710
10545314611240
111a02a2977633
1289828915260
133c5662a43c9
141c57158a840
15e2b8eb9960
hex7ef748a028

545314611240 has 192 divisors, whose sum is σ = 2025953804160. Its totient is φ = 124612600320.

The previous prime is 545314611197. The next prime is 545314611271. The reversal of 545314611240 is 42116413545.

545314611240 is a `hidden beast` number, since 5 + 4 + 5 + 3 + 14 + 611 + 24 + 0 = 666.

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 = 545314611195 and 545314611204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11116447 + ... + 11165393.

It is an arithmetic number, because the mean of its divisors is an integer number (10551842730).

Almost surely, 2545314611240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 545314611240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1012976902080).

545314611240 is an abundant number, since it is smaller than the sum of its proper divisors (1480639192920).

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

545314611240 is a wasteful number, since it uses less digits than its factorization.

545314611240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53392 (or 53385 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 545314611240 in words is "five hundred forty-five billion, three hundred fourteen million, six hundred eleven thousand, two hundred forty".