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2024404232040 = 2334519107307337
BaseRepresentation
bin11101011101010111111…
…001010010011101101000
321011112100012201021210000
4131131113321102131220
5231131434440411130
64145555400223000
7266154424024431
oct35352771223550
97145305637700
102024404232040
117105aa45a5a3
12288414a6aa60
13118b92524368
146dda5a72488
15379d571b260
hex1d757e52768

2024404232040 has 320 divisors, whose sum is σ = 7229327371200. Its totient is φ = 506647084032.

The previous prime is 2024404232033. The next prime is 2024404232047. The reversal of 2024404232040 is 402324044202.

2024404232040 is a `hidden beast` number, since 2 + 0 + 24 + 404 + 232 + 0 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2024404232033) and next prime (2024404232047).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2024404231995 and 2024404232013.

It is not an unprimeable number, because it can be changed into a prime (2024404232047) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6433252 + ... + 6740588.

It is an arithmetic number, because the mean of its divisors is an integer number (22591648035).

Almost surely, 22024404232040 is an apocalyptic number.

2024404232040 is a gapful number since it is divisible by the number (20) 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 2024404232040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3614663685600).

2024404232040 is an abundant number, since it is smaller than the sum of its proper divisors (5204923139160).

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

2024404232040 is a wasteful number, since it uses less digits than its factorization.

2024404232040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307486 (or 307473 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 27.

Adding to 2024404232040 its reverse (402324044202), we get a palindrome (2426728276242).

The spelling of 2024404232040 in words is "two trillion, twenty-four billion, four hundred four million, two hundred thirty-two thousand, forty".