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540065401425 = 335211217388963
BaseRepresentation
bin1111101101111100110…
…10000000101001010001
31220122000002022222122000
413312332122000221101
532322023220321200
61052034055504213
754006216112014
oct7667632005121
91818002288560
10540065401425
11199049926600
1288802988069
133bc0a91b9b4
141c1d437737b
15e0ad238300
hex7dbe680a51

540065401425 has 144 divisors (see below), whose sum is σ = 1154662971840. Its totient is φ = 246446323200.

The previous prime is 540065401423. The next prime is 540065401429. The reversal of 540065401425 is 524104560045.

540065401425 is a `hidden beast` number, since 540 + 0 + 65 + 40 + 14 + 2 + 5 = 666.

It is not a de Polignac number, because 540065401425 - 21 = 540065401423 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 540065401425.

It is not an unprimeable number, because it can be changed into a prime (540065401423) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1193994 + ... + 1582956.

It is an arithmetic number, because the mean of its divisors is an integer number (8018492860).

Almost surely, 2540065401425 is an apocalyptic number.

540065401425 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

540065401425 is an abundant number, since it is smaller than the sum of its proper divisors (614597570415).

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

540065401425 is a wasteful number, since it uses less digits than its factorization.

540065401425 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389021 (or 388999 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

The spelling of 540065401425 in words is "five hundred forty billion, sixty-five million, four hundred one thousand, four hundred twenty-five".

Divisors: 1 3 5 9 11 15 17 25 27 33 45 51 55 75 85 99 121 135 153 165 187 225 255 275 297 363 425 459 495 561 605 675 765 825 935 1089 1275 1485 1683 1815 2057 2295 2475 2805 3025 3267 3825 4675 5049 5445 6171 7425 8415 9075 10285 11475 14025 16335 18513 25245 27225 30855 42075 51425 55539 81675 92565 126225 154275 277695 388963 462825 1166889 1388475 1944815 3500667 4278593 5834445 6612371 9724075 10502001 12835779 17503335 19837113 21392965 29172225 33061855 38507337 47064523 52510005 59511339 64178895 72736081 87516675 99185565 106964825 115522011 141193569 165309275 178534017 192536685 218208243 235322615 262550025 297556695 320894475 363680405 423580707 495927825 577610055 654624729 705967845 800096891 892670085 962683425 1091041215 1176613075 1270742121 1487783475 1818402025 1963874187 2117903535 2400290673 2888050275 3273123645 3529839225 4000484455 4463350425 5455206075 6353710605 7200872019 9819370935 10589517675 12001453365 16365618225 20002422275 21602616057 31768553025 36004360095 49096854675 60007266825 108013080285 180021800475 540065401425