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2400029200041 = 311401918096083
BaseRepresentation
bin100010111011001100111…
…000110100111010101001
322111102220011100201212220
4202323030320310322221
5303310224433400131
65034320323024253
7335252650413264
oct42731470647251
98442804321786
102400029200041
11845934a07650
12329184b0b089
13145424c57535
148423a893cdb
154266c242e96
hex22ecce34ea9

2400029200041 has 16 divisors (see below), whose sum is σ = 3491820368640. Its totient is φ = 1454201149520.

The previous prime is 2400029200039. The next prime is 2400029200069. The reversal of 2400029200041 is 1400029200042.

It is a cyclic number.

It is not a de Polignac number, because 2400029200041 - 21 = 2400029200039 is a prime.

It is a super-2 number, since 2×24000292000412 (a number of 26 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2400029199984 and 2400029200020.

It is not an unprimeable number, because it can be changed into a prime (2400029200091) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8915415 + ... + 9180668.

It is an arithmetic number, because the mean of its divisors is an integer number (218238773040).

Almost surely, 22400029200041 is an apocalyptic number.

It is an amenable number.

2400029200041 is a deficient number, since it is larger than the sum of its proper divisors (1091791168599).

2400029200041 is a wasteful number, since it uses less digits than its factorization.

2400029200041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18100116.

The product of its (nonzero) digits is 1152, while the sum is 24.

Subtracting from 2400029200041 its reverse (1400029200042), we obtain a palindrome (999999999999).

The spelling of 2400029200041 in words is "two trillion, four hundred billion, twenty-nine million, two hundred thousand, forty-one".

Divisors: 1 3 11 33 4019 12057 44209 132627 18096083 54288249 199056913 597170739 72728157577 218184472731 800009733347 2400029200041