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4266434157040 = 24511171953283207
BaseRepresentation
bin111110000101011011010…
…010101101100111110000
3120002212102010120020100101
4332011123102231213300
51024400124121011130
613023550042402144
7620145133656136
oct76053322554760
916085363506311
104266434157040
1113a5425946290
1258aa44200354
1324c4278812b3
1410a6d4619756
1575ea69791ca
hex3e15b4ad9f0

4266434157040 has 320 divisors, whose sum is σ = 12288417776640. Its totient is φ = 1357213777920.

The previous prime is 4266434157019. The next prime is 4266434157103. The reversal of 4266434157040 is 407514346624.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14923117 + ... + 15206323.

It is an arithmetic number, because the mean of its divisors is an integer number (38401305552).

Almost surely, 24266434157040 is an apocalyptic number.

4266434157040 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 4266434157040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6144208888320).

4266434157040 is an abundant number, since it is smaller than the sum of its proper divisors (8021983619600).

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

4266434157040 is a wasteful number, since it uses less digits than its factorization.

4266434157040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283320 (or 283314 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 46.

The spelling of 4266434157040 in words is "four trillion, two hundred sixty-six billion, four hundred thirty-four million, one hundred fifty-seven thousand, forty".