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420400402440 = 23353503336687
BaseRepresentation
bin1100001111000011101…
…00010001000000001000
31111012010102112012010120
412013201310101000020
523341440000334230
6521043531343240
742241625313654
oct6074164210010
91435112465116
10420400402440
11152322081727
12695872b1b20
1330849c687a5
14164c1715a64
15ae078a7310
hex61e1d11008

420400402440 has 32 divisors (see below), whose sum is σ = 1261201207680. Its totient is φ = 112106773952.

The previous prime is 420400402421. The next prime is 420400402447. The reversal of 420400402440 is 44204004024.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 420400402440.

It is not an unprimeable number, because it can be changed into a prime (420400402447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1751668224 + ... + 1751668463.

It is an arithmetic number, because the mean of its divisors is an integer number (39412537740).

Almost surely, 2420400402440 is an apocalyptic number.

420400402440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

420400402440 is an abundant number, since it is smaller than the sum of its proper divisors (840800805240).

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

420400402440 is a wasteful number, since it uses less digits than its factorization.

420400402440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3503336701 (or 3503336697 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

Adding to 420400402440 its reverse (44204004024), we get a palindrome (464604406464).

The spelling of 420400402440 in words is "four hundred twenty billion, four hundred million, four hundred two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 3503336687 7006673374 10510010061 14013346748 17516683435 21020020122 28026693496 35033366870 42040040244 52550050305 70066733740 84080080488 105100100610 140133467480 210200201220 420400402440