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424102004120 = 23541647399689
BaseRepresentation
bin1100010101111100111…
…00110000010110011000
31111112200101202001001002
412022332130300112120
523422030103112440
6522455121444132
742432433361414
oct6127634602630
91445611661032
10424102004120
11153951585873
126a23aaa0648
1330cb9b00442
1416753191d44
15b072838115
hex62be730598

424102004120 has 64 divisors (see below), whose sum is σ = 979016673600. Its totient is φ = 165247006720.

The previous prime is 424102004119. The next prime is 424102004143. The reversal of 424102004120 is 21400201424.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 424102004092 and 424102004101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 861236 + ... + 1260924.

It is an arithmetic number, because the mean of its divisors is an integer number (15297135525).

Almost surely, 2424102004120 is an apocalyptic number.

424102004120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 424102004120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489508336800).

424102004120 is an abundant number, since it is smaller than the sum of its proper divisors (554914669480).

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

424102004120 is a wasteful number, since it uses less digits than its factorization.

424102004120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400388 (or 400384 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 424102004120 its reverse (21400201424), we get a palindrome (445502205544).

The spelling of 424102004120 in words is "four hundred twenty-four billion, one hundred two million, four thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 41 82 164 205 328 410 647 820 1294 1640 2588 3235 5176 6470 12940 25880 26527 53054 106108 132635 212216 265270 399689 530540 799378 1061080 1598756 1998445 3197512 3996890 7993780 15987560 16387249 32774498 65548996 81936245 131097992 163872490 258598783 327744980 517197566 655489960 1034395132 1292993915 2068790264 2585987830 5171975660 10343951320 10602550103 21205100206 42410200412 53012750515 84820400824 106025501030 212051002060 424102004120