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24142041520 = 245727415097
BaseRepresentation
bin10110011110111110…
…100101000110110000
32022022111111210000221
4112132332211012300
5343420330312040
615031331422424
71513155652462
oct263676450660
968274453027
1024142041520
11a26960a133
124819154a14
13237986c98c
141250452132
159646ec74a
hex59efa51b0

24142041520 has 40 divisors (see below), whose sum is σ = 56207589984. Its totient is φ = 9643510272.

The previous prime is 24142041503. The next prime is 24142041527. The reversal of 24142041520 is 2514024142.

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (24142041527) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 149389 + ... + 265708.

Almost surely, 224142041520 is an apocalyptic number.

24142041520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

24142041520 is an abundant number, since it is smaller than the sum of its proper divisors (32065548464).

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

24142041520 is a wasteful number, since it uses less digits than its factorization.

24142041520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415837 (or 415831 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 25.

Adding to 24142041520 its reverse (2514024142), we get a palindrome (26656065662).

The spelling of 24142041520 in words is "twenty-four billion, one hundred forty-two million, forty-one thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 727 1454 2908 3635 5816 7270 11632 14540 29080 58160 415097 830194 1660388 2075485 3320776 4150970 6641552 8301940 16603880 33207760 301775519 603551038 1207102076 1508877595 2414204152 3017755190 4828408304 6035510380 12071020760 24142041520