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2413740144 = 243117142943
BaseRepresentation
bin1000111111011110…
…1100000001110000
320020012212201000010
42033313230001300
514420404141034
61035302454520
7113546311164
oct21767540160
96205781003
102413740144
111029547772
12574434440
132c60b9a0a
1418c7d8ca4
15e1d8c3e9
hex8fdec070

2413740144 has 40 divisors (see below), whose sum is σ = 6240965632. Its totient is φ = 803874240.

The previous prime is 2413740139. The next prime is 2413740149. The reversal of 2413740144 is 4410473142.

2413740144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2413740139) and next prime (2413740149).

It is a super-2 number, since 2×24137401442 = 11652282965514281472, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2413740149) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34737 + ... + 77679.

Almost surely, 22413740144 is an apocalyptic number.

2413740144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2413740144 is an abundant number, since it is smaller than the sum of its proper divisors (3827225488).

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

2413740144 is a wasteful number, since it uses less digits than its factorization.

2413740144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44125 (or 44119 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 30.

The square root of 2413740144 is about 49129.8294725312. The cubic root of 2413740144 is about 1341.4160689186.

The spelling of 2413740144 in words is "two billion, four hundred thirteen million, seven hundred forty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 1171 2342 3513 4684 7026 9368 14052 18736 28104 42943 56208 85886 128829 171772 257658 343544 515316 687088 1030632 2061264 50286253 100572506 150858759 201145012 301717518 402290024 603435036 804580048 1206870072 2413740144