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133242141144 = 2337793107983
BaseRepresentation
bin111110000010111011…
…0011011100111011000
3110201220212121002011110
41330011312123213120
54140334442004034
6141113253300320
712424602340620
oct1740566334730
9421825532143
10133242141144
1151564795822
12219a66346a0
13c7457a9648
14663dd03880
1536ec7d7de9
hex1f05d9b9d8

133242141144 has 32 divisors (see below), whose sum is σ = 380691832320. Its totient is φ = 38069183136.

The previous prime is 133242141143. The next prime is 133242141157. The reversal of 133242141144 is 441141242331.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133242141143) 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, 396553824 + ... + 396554159.

It is an arithmetic number, because the mean of its divisors is an integer number (11896619760).

Almost surely, 2133242141144 is an apocalyptic number.

133242141144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

133242141144 is an abundant number, since it is smaller than the sum of its proper divisors (247449691176).

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

133242141144 is a wasteful number, since it uses less digits than its factorization.

133242141144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 793107999 (or 793107995 counting only the distinct ones).

The product of its digits is 9216, while the sum is 30.

Adding to 133242141144 its reverse (441141242331), we get a palindrome (574383383475).

The spelling of 133242141144 in words is "one hundred thirty-three billion, two hundred forty-two million, one hundred forty-one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 793107983 1586215966 2379323949 3172431932 4758647898 5551755881 6344863864 9517295796 11103511762 16655267643 19034591592 22207023524 33310535286 44414047048 66621070572 133242141144