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240232413312 = 2732208535081
BaseRepresentation
bin1101111110111011110…
…1111011100010000000
3211222002012200001010100
43133232331323202000
512413443444211222
6302210010202400
723233116551433
oct3375675734200
9758065601110
10240232413312
1192977a30861
123a685423400
13198665972b8
14b8ad4ab81a
1563b05694ac
hex37eef7b880

240232413312 has 48 divisors (see below), whose sum is σ = 691293796830. Its totient is φ = 80077470720.

The previous prime is 240232413247. The next prime is 240232413329. The reversal of 240232413312 is 213314232042.

240232413312 is a `hidden beast` number, since 2 + 4 + 0 + 2 + 324 + 1 + 331 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 134149317696 + 106083095616 = 366264^2 + 325704^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×2402324133122 (a number of 24 digits) contains 22 as substring.

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 5 ways as a sum of consecutive naturals, for example, 104266389 + ... + 104268692.

Almost surely, 2240232413312 is an apocalyptic number.

It is an amenable number.

240232413312 is an abundant number, since it is smaller than the sum of its proper divisors (451061383518).

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

240232413312 is a wasteful number, since it uses less digits than its factorization.

240232413312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208535101 (or 208535086 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 240232413312 its reverse (213314232042), we get a palindrome (453546645354).

The spelling of 240232413312 in words is "two hundred forty billion, two hundred thirty-two million, four hundred thirteen thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 208535081 417070162 625605243 834140324 1251210486 1668280648 1876815729 2502420972 3336561296 3753631458 5004841944 6673122592 7507262916 10009683888 13346245184 15014525832 20019367776 26692490368 30029051664 40038735552 60058103328 80077471104 120116206656 240232413312