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132014030064 = 2437392898899
BaseRepresentation
bin111101011110010100…
…1100011110011110000
3110121202021200120110220
41322330221203303300
54130331042430224
6140351342453040
712352300512060
oct1727451436360
9417667616426
10132014030064
1150a94529794
1221703294180
13c5ab221bb7
146564b773a0
153679a98279
hex1ebca63cf0

132014030064 has 40 divisors (see below), whose sum is σ = 389755708800. Its totient is φ = 37718294208.

The previous prime is 132014030063. The next prime is 132014030107. The reversal of 132014030064 is 460030410231.

132014030064 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132014030063) 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, 196449114 + ... + 196449785.

It is an arithmetic number, because the mean of its divisors is an integer number (9743892720).

Almost surely, 2132014030064 is an apocalyptic number.

132014030064 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

132014030064 is an abundant number, since it is smaller than the sum of its proper divisors (257741678736).

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

132014030064 is a wasteful number, since it uses less digits than its factorization.

132014030064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392898917 (or 392898911 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 132014030064 its reverse (460030410231), we get a palindrome (592044440295).

The spelling of 132014030064 in words is "one hundred thirty-two billion, fourteen million, thirty thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 392898899 785797798 1178696697 1571595596 2357393394 2750292293 3143191192 4714786788 5500584586 6286382384 8250876879 9429573576 11001169172 16501753758 18859147152 22002338344 33003507516 44004676688 66007015032 132014030064