Search a number
-
+
32141003420 = 22517199475037
BaseRepresentation
bin11101111011110000…
…001100101010011100
310001221221222010221002
4131323300030222130
51011311044102140
622433153125432
72215325010221
oct357360145234
9101857863832
1032141003420
11126a3838649
12628bb59878
133052b0b426
1417ac929948
15c81a90415
hex77bc0ca9c

32141003420 has 48 divisors (see below), whose sum is σ = 71825745600. Its totient is φ = 12039312384.

The previous prime is 32141003417. The next prime is 32141003429. The reversal of 32141003420 is 2430014123.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 32141003392 and 32141003401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32141003429) 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 15 ways as a sum of consecutive naturals, for example, 169859 + ... + 305178.

It is an arithmetic number, because the mean of its divisors is an integer number (1496369700).

Almost surely, 232141003420 is an apocalyptic number.

It is an amenable number.

32141003420 is an abundant number, since it is smaller than the sum of its proper divisors (39684742180).

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

32141003420 is a wasteful number, since it uses less digits than its factorization.

32141003420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475262 (or 475260 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 32141003420 its reverse (2430014123), we get a palindrome (34571017543).

The spelling of 32141003420 in words is "thirty-two billion, one hundred forty-one million, three thousand, four hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 199 340 398 796 995 1990 3383 3980 6766 13532 16915 33830 67660 475037 950074 1900148 2375185 4750370 8075629 9500740 16151258 32302516 40378145 80756290 94532363 161512580 189064726 378129452 472661815 945323630 1607050171 1890647260 3214100342 6428200684 8035250855 16070501710 32141003420