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540244100124 = 2232532411174883
BaseRepresentation
bin1111101110010010000…
…11101100010000011100
31220122110112120211011100
413313021003230100130
532322404442200444
61052103521553100
754013516040331
oct7671103542034
91818415524140
10540244100124
1119913078a583
12888527a5790
133bc38958481
141c20ddb2988
15e0bdc85e69
hex7dc90ec41c

540244100124 has 72 divisors (see below), whose sum is σ = 1397157954192. Its totient is φ = 175950328320.

The previous prime is 540244100113. The next prime is 540244100131. The reversal of 540244100124 is 421001442045.

540244100124 is a `hidden beast` number, since 540 + 2 + 4 + 4 + 100 + 12 + 4 = 666.

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, 127614 + ... + 1047269.

It is an arithmetic number, because the mean of its divisors is an integer number (19404971586).

Almost surely, 2540244100124 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 540244100124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (698578977096).

540244100124 is an abundant number, since it is smaller than the sum of its proper divisors (856913854068).

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

540244100124 is a wasteful number, since it uses less digits than its factorization.

540244100124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1175187 (or 1175182 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

Adding to 540244100124 its reverse (421001442045), we get a palindrome (961245542169).

The spelling of 540244100124 in words is "five hundred forty billion, two hundred forty-four million, one hundred thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 53 106 159 212 241 318 477 482 636 723 954 964 1446 1908 2169 2892 4338 8676 12773 25546 38319 51092 76638 114957 153276 229914 459828 1174883 2349766 3524649 4699532 7049298 10573947 14098596 21147894 42295788 62268799 124537598 186806397 249075196 283146803 373612794 560419191 566293606 747225588 849440409 1120838382 1132587212 1698880818 2241676764 2548321227 3397761636 5096642454 10193284908 15006780559 30013561118 45020341677 60027122236 90040683354 135061025031 180081366708 270122050062 540244100124