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400024442440 = 23579439151357
BaseRepresentation
bin1011101001000110101…
…00001001011001001000
31102020112101120011201101
411310203110021121020
523023222224124230
6503434012031144
740620656441530
oct5644324113110
91366471504641
10400024442440
11144716407367
126563b4624b4
132b95071881c
141550b5264c0
15a613b25aca
hex5d23509648

400024442440 has 64 divisors (see below), whose sum is σ = 1028750054400. Its totient is φ = 137135801088.

The previous prime is 400024442431. The next prime is 400024442491. The reversal of 400024442440 is 44244420004.

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 = 400024442399 and 400024442408.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2567242 + ... + 2718598.

It is an arithmetic number, because the mean of its divisors is an integer number (16074219600).

Almost surely, 2400024442440 is an apocalyptic number.

400024442440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

400024442440 is an abundant number, since it is smaller than the sum of its proper divisors (628725611960).

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

400024442440 is a wasteful number, since it uses less digits than its factorization.

400024442440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160814 (or 160810 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 28.

Adding to 400024442440 its reverse (44244420004), we get a palindrome (444268862444).

The spelling of 400024442440 in words is "four hundred billion, twenty-four million, four hundred forty-two thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 9439 18878 37756 47195 66073 75512 94390 132146 151357 188780 264292 302714 330365 377560 528584 605428 660730 756785 1059499 1210856 1321460 1513570 2118998 2642920 3027140 4237996 5297495 6054280 8475992 10594990 21189980 42379960 1428658723 2857317446 5714634892 7143293615 10000611061 11429269784 14286587230 20001222122 28573174460 40002444244 50003055305 57146348920 80004888488 100006110610 200012221220 400024442440