Search a number
-
+
4033134040 = 2351315714937
BaseRepresentation
bin1111000001100100…
…1011110111011000
3101102002001102210211
43300121023313120
531224440242130
61504112020504
7201642034165
oct36031136730
911362042724
104033134040
11178a665331
12946831734
134c3753060
142a38db06c
1518911ca2a
hexf064bdd8

4033134040 has 64 divisors (see below), whose sum is σ = 9780795360. Its totient is φ = 1487907840.

The previous prime is 4033134037. The next prime is 4033134041. The reversal of 4033134040 is 404313304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4033134041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 814452 + ... + 819388.

Almost surely, 24033134040 is an apocalyptic number.

4033134040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4033134040 is an abundant number, since it is smaller than the sum of its proper divisors (5747661320).

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

4033134040 is a wasteful number, since it uses less digits than its factorization.

4033134040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6532 (or 6528 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

The square root of 4033134040 is about 63506.9605633902. The cubic root of 4033134040 is about 1591.7720890795.

Adding to 4033134040 its reverse (404313304), we get a palindrome (4437447344).

The spelling of 4033134040 in words is "four billion, thirty-three million, one hundred thirty-four thousand, forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 1571 3142 4937 6284 7855 9874 12568 15710 19748 20423 24685 31420 39496 40846 49370 62840 64181 81692 98740 102115 128362 163384 197480 204230 256724 320905 408460 513448 641810 816920 1283620 2567240 7756027 15512054 31024108 38780135 62048216 77560270 100828351 155120540 201656702 310241080 403313404 504141755 806626808 1008283510 2016567020 4033134040