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201084252440 = 235167230913037
BaseRepresentation
bin1011101101000110001…
…1100011000100011000
3201020000220111102020012
42323101203203010120
511243310032034230
6232213221221052
720346024641561
oct2732143430430
9636026442205
10201084252440
11783089000a5
1232b7a861788
1315c67b48176
149a380c1168
15536d749395
hex2ed18e3118

201084252440 has 64 divisors (see below), whose sum is σ = 455380833600. Its totient is φ = 79911305728.

The previous prime is 201084252419. The next prime is 201084252443. The reversal of 201084252440 is 44252480102.

It is a junction number, because it is equal to n+sod(n) for n = 201084252397 and 201084252406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201084252443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15417602 + ... + 15430638.

It is an arithmetic number, because the mean of its divisors is an integer number (7115325525).

Almost surely, 2201084252440 is an apocalyptic number.

201084252440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201084252440 is an abundant number, since it is smaller than the sum of its proper divisors (254296581160).

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

201084252440 is a wasteful number, since it uses less digits than its factorization.

201084252440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15524 (or 15520 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 32.

The spelling of 201084252440 in words is "two hundred one billion, eighty-four million, two hundred fifty-two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 167 334 668 835 1336 1670 2309 3340 4618 6680 9236 11545 13037 18472 23090 26074 46180 52148 65185 92360 104296 130370 260740 385603 521480 771206 1542412 1928015 2177179 3084824 3856030 4354358 7712060 8708716 10885895 15424120 17417432 21771790 30102433 43543580 60204866 87087160 120409732 150512165 240819464 301024330 602048660 1204097320 5027106311 10054212622 20108425244 25135531555 40216850488 50271063110 100542126220 201084252440