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1420500250240 = 27517771249033
BaseRepresentation
bin10100101010111100011…
…010011010111010000000
312000210120002211102001021
4110222330122122322000
5141233141031001430
63004322510115224
7204425214622321
oct24527432327200
95023502742037
101420500250240
114a84813a4765
121ab3767abb14
13a3c4cb23766
144ca77110448
1526e3cc9307a
hex14abc69ae80

1420500250240 has 64 divisors (see below), whose sum is σ = 3397797151560. Its totient is φ = 567879892992.

The previous prime is 1420500250231. The next prime is 1420500250243. The reversal of 1420500250240 is 420520050241.

It can be written as a sum of positive squares in 4 ways, for example, as 813185525824 + 607314724416 = 901768^2 + 779304^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (1420500250243) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 512764 + ... + 1761796.

Almost surely, 21420500250240 is an apocalyptic number.

1420500250240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1420500250240 is an abundant number, since it is smaller than the sum of its proper divisors (1977296901320).

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

1420500250240 is a wasteful number, since it uses less digits than its factorization.

1420500250240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1250829 (or 1250817 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 25.

The spelling of 1420500250240 in words is "one trillion, four hundred twenty billion, five hundred million, two hundred fifty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 1777 3554 7108 8885 14216 17770 28432 35540 56864 71080 113728 142160 227456 284320 568640 1137280 1249033 2498066 4996132 6245165 9992264 12490330 19984528 24980660 39969056 49961320 79938112 99922640 159876224 199845280 399690560 799381120 2219531641 4439063282 8878126564 11097658205 17756253128 22195316410 35512506256 44390632820 71025012512 88781265640 142050025024 177562531280 284100050048 355125062560 710250125120 1420500250240