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540264140024 = 237219964310771
BaseRepresentation
bin1111101110010100100…
…00001000110011111000
31220122111221021221201212
413313022100020303320
532322430104440044
61052105515302252
754014151263600
oct7671220106370
91818457257655
10540264140024
11199141027884
128885944a988
133bc3cb53abb
141c21290bc00
15e0c08e3a9e
hex7dca408cf8

540264140024 has 96 divisors (see below), whose sum is σ = 1186255728000. Its totient is φ = 229998605760.

The previous prime is 540264139963. The next prime is 540264140047. The reversal of 540264140024 is 420041462045.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 50153759 + ... + 50164529.

It is an arithmetic number, because the mean of its divisors is an integer number (12356830500).

Almost surely, 2540264140024 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 540264140024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (593127864000).

540264140024 is an abundant number, since it is smaller than the sum of its proper divisors (645991587976).

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

540264140024 is a wasteful number, since it uses less digits than its factorization.

540264140024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11633 (or 11622 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 32.

The spelling of 540264140024 in words is "five hundred forty billion, two hundred sixty-four million, one hundred forty thousand, twenty-four".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 199 392 398 643 796 1286 1393 1592 2572 2786 4501 5144 5572 9002 9751 10771 11144 18004 19502 21542 31507 36008 39004 43084 63014 75397 78008 86168 126028 127957 150794 252056 255914 301588 511828 527779 603176 895699 1023656 1055558 1791398 2111116 2143429 3582796 4222232 4286858 6269893 6925753 7165592 8573716 12539786 13851506 15004003 17147432 25079572 27703012 30008006 48480271 50159144 55406024 60016012 96960542 105028021 120032024 193921084 210056042 339361897 387842168 420112084 678723794 840224168 1357447588 1378224847 2714895176 2756449694 5512899388 9647573929 11025798776 19295147858 38590295716 67533017503 77180591432 135066035006 270132070012 540264140024