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424311234141240 = 233451923299680223
BaseRepresentation
bin110000001111010001010100…
…0011000101001110000111000
32001122100202110110100212010000
41200132202220120221300320
5421103403401420004430
64102233520122553000
7155242321635350265
oct14036425030516070
92048322413325100
10424311234141240
111132204249a1146
123b70a439968760
131529b4baa32664
1476acab7d6626c
15340c497a1ce60
hex181e8a8629c38

424311234141240 has 320 divisors, whose sum is σ = 1566488466892800. Its totient is φ = 102533789875968.

The previous prime is 424311234141167. The next prime is 424311234141253. The reversal of 424311234141240 is 42141432113424.

424311234141240 is a `hidden beast` number, since 4 + 2 + 4 + 3 + 1 + 1 + 234 + 1 + 412 + 4 + 0 = 666.

It is a super-3 number, since 3×4243112341412403 (a number of 45 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 424311234141195 and 424311234141204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 148424232 + ... + 151255991.

It is an arithmetic number, because the mean of its divisors is an integer number (4895276459040).

Almost surely, 2424311234141240 is an apocalyptic number.

424311234141240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

424311234141240 is an abundant number, since it is smaller than the sum of its proper divisors (1142177232751560).

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

424311234141240 is a wasteful number, since it uses less digits than its factorization.

424311234141240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299680288 (or 299680275 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

Adding to 424311234141240 its reverse (42141432113424), we get a palindrome (466452666254664).

The spelling of 424311234141240 in words is "four hundred twenty-four trillion, three hundred eleven billion, two hundred thirty-four million, one hundred forty-one thousand, two hundred forty".