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4241144211440 = 245271195624733
BaseRepresentation
bin111101101101110111111…
…001001110011111110000
3120000110010122001212221112
4331231313321032133300
51023441330404231230
613004204343212452
7615261335662253
oct75556771163760
916013118055845
104241144211440
1113957283828a4
12585b66747128
13249c2725a546
141093b595909a
15754c65d1d95
hex3db77e4e7f0

4241144211440 has 40 divisors (see below), whose sum is σ = 9897046542528. Its totient is φ = 1690197684480.

The previous prime is 4241144211397. The next prime is 4241144211457. The reversal of 4241144211440 is 441124411424.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 4241144211397 and 4241144211406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 97790687 + ... + 97834046.

Almost surely, 24241144211440 is an apocalyptic number.

4241144211440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4241144211440 is an abundant number, since it is smaller than the sum of its proper divisors (5655902331088).

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

4241144211440 is a wasteful number, since it uses less digits than its factorization.

4241144211440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195625017 (or 195625011 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 32.

Adding to 4241144211440 its reverse (441124411424), we get a palindrome (4682268622864).

The spelling of 4241144211440 in words is "four trillion, two hundred forty-one billion, one hundred forty-four million, two hundred eleven thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 271 542 1084 1355 2168 2710 4336 5420 10840 21680 195624733 391249466 782498932 978123665 1564997864 1956247330 3129995728 3912494660 7824989320 15649978640 53014302643 106028605286 212057210572 265071513215 424114421144 530143026430 848228842288 1060286052860 2120572105720 4241144211440