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2401233340240 = 24574287916679
BaseRepresentation
bin100010111100010100101…
…010010000011101010000
322111120000002011101201001
4202330110222100131100
5303320211213341430
65035040015551344
7335324541424150
oct42742452203520
98446002141631
102401233340240
118463a2690a39
1232946022b554
1314558756b327
1484312780760
15426dccea3ca
hex22f14a90750

2401233340240 has 40 divisors (see below), whose sum is σ = 6380420019840. Its totient is φ = 823280002176.

The previous prime is 2401233340237. The next prime is 2401233340277. The reversal of 2401233340240 is 420433321042.

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

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 2401233340199 and 2401233340208.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 2143957780 + ... + 2143958899.

It is an arithmetic number, because the mean of its divisors is an integer number (159510500496).

Almost surely, 22401233340240 is an apocalyptic number.

2401233340240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2401233340240 is an abundant number, since it is smaller than the sum of its proper divisors (3979186679600).

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

2401233340240 is a wasteful number, since it uses less digits than its factorization.

2401233340240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4287916699 (or 4287916693 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 2401233340240 its reverse (420433321042), we get a palindrome (2821666661282).

The spelling of 2401233340240 in words is "two trillion, four hundred one billion, two hundred thirty-three million, three hundred forty thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 4287916679 8575833358 17151666716 21439583395 30015416753 34303333432 42879166790 60030833506 68606666864 85758333580 120061667012 150077083765 171516667160 240123334024 300154167530 343033334320 480246668048 600308335060 1200616670120 2401233340240