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133140440052 = 22325962683823
BaseRepresentation
bin111101111111111001…
…0011110001111110100
3110201122210020010111100
41323333302132033310
54140132423040202
6141055221410100
712422226032154
oct1737762361764
9421583203440
10133140440052
1151512342234
1221978569930
13c72a6bb799
1466305cc764
1536e38e941c
hex1effc9e3f4

133140440052 has 36 divisors (see below), whose sum is σ = 342253679040. Its totient is φ = 43627940112.

The previous prime is 133140440051. The next prime is 133140440137. The reversal of 133140440052 is 250044041331.

It is a happy number.

133140440052 is a `hidden beast` number, since 1 + 33 + 140 + 440 + 0 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 133140439998 and 133140440025.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133140440051) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31339788 + ... + 31344035.

It is an arithmetic number, because the mean of its divisors is an integer number (9507046640).

Almost surely, 2133140440052 is an apocalyptic number.

133140440052 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

133140440052 is an abundant number, since it is smaller than the sum of its proper divisors (209113238988).

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

133140440052 is a wasteful number, since it uses less digits than its factorization.

133140440052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62683892 (or 62683887 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 133140440052 its reverse (250044041331), we get a palindrome (383184481383).

The spelling of 133140440052 in words is "one hundred thirty-three billion, one hundred forty million, four hundred forty thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 59 118 177 236 354 531 708 1062 2124 62683823 125367646 188051469 250735292 376102938 564154407 752205876 1128308814 2256617628 3698345557 7396691114 11095036671 14793382228 22190073342 33285110013 44380146684 66570220026 133140440052