Search a number
-
+
32030713440 = 25335112292113
BaseRepresentation
bin11101110101001011…
…011110011001100000
310001200021102211112000
4131311023132121200
51011044330312230
622414213204000
72212515400125
oct356513363140
9101607384460
1032030713440
1112647559100
12625b030600
13303600409b
14179c01a74c
15c77056b60
hex7752de660

32030713440 has 576 divisors, whose sum is σ = 127535083200. Its totient is φ = 7493713920.

The previous prime is 32030713423. The next prime is 32030713447. The reversal of 32030713440 is 4431703023.

32030713440 is a `hidden beast` number, since 3 + 203 + 0 + 7 + 13 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32030713447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15157824 + ... + 15159936.

It is an arithmetic number, because the mean of its divisors is an integer number (221415075).

Almost surely, 232030713440 is an apocalyptic number.

32030713440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32030713440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63767541600).

32030713440 is an abundant number, since it is smaller than the sum of its proper divisors (95504369760).

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

32030713440 is a wasteful number, since it uses less digits than its factorization.

32030713440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2188 (or 2163 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

The spelling of 32030713440 in words is "thirty-two billion, thirty million, seven hundred thirteen thousand, four hundred forty".