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540620053344 = 25327607441787
BaseRepresentation
bin1111101110111110111…
…01110101101101100000
31220200102202000020000200
413313133131311231200
532324142213201334
61052205111545200
754026032430010
oct7673735655540
91820382006020
10540620053344
11199303a20818
128893868b200
133bc987ca6b7
141c247cb7c40
15e0e1c99799
hex7ddf775b60

540620053344 has 144 divisors (see below), whose sum is σ = 1759913745408. Its totient is φ = 154208054016.

The previous prime is 540620053343. The next prime is 540620053349. The reversal of 540620053344 is 443350026045.

540620053344 is a `hidden beast` number, since 5 + 406 + 200 + 5 + 3 + 3 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 = 540620053299 and 540620053308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540620053343) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1002819 + ... + 1444605.

It is an arithmetic number, because the mean of its divisors is an integer number (12221623232).

Almost surely, 2540620053344 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 540620053344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (879956872704).

540620053344 is an abundant number, since it is smaller than the sum of its proper divisors (1219293692064).

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

540620053344 is a wasteful number, since it uses less digits than its factorization.

540620053344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442417 (or 442406 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 36.

Adding to 540620053344 its reverse (443350026045), we get a palindrome (983970079389).

The spelling of 540620053344 in words is "five hundred forty billion, six hundred twenty million, fifty-three thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 607 672 1008 1214 1821 2016 2428 3642 4249 4856 5463 7284 8498 9712 10926 12747 14568 16996 19424 21852 25494 29136 33992 38241 43704 50988 58272 67984 76482 87408 101976 135968 152964 174816 203952 305928 407904 441787 611856 883574 1223712 1325361 1767148 2650722 3092509 3534296 3976083 5301444 6185018 7068592 7952166 9277527 10602888 12370036 14137184 15904332 18555054 21205776 24740072 27832581 31808664 37110108 42411552 49480144 55665162 63617328 74220216 98960288 111330324 127234656 148440432 222660648 268164709 296880864 445321296 536329418 804494127 890642592 1072658836 1608988254 1877152963 2145317672 2413482381 3217976508 3754305926 4290635344 4826964762 5631458889 6435953016 7508611852 8581270688 9653929524 11262917778 12871906032 15017223704 16894376667 19307859048 22525835556 25743812064 30034447408 33788753334 38615718096 45051671112 60068894816 67577506668 77231436192 90103342224 135155013336 180206684448 270310026672 540620053344