Search a number
-
+
4129931472 = 2431572392293
BaseRepresentation
bin1111011000101001…
…1100000011010000
3101122211012020220220
43312022130003100
531424230301342
61521450433040
7204225560352
oct36612340320
911584166826
104129931472
11182a269707
12973132780
1350a814c44
142b26d70d2
1519288d5ec
hexf629c0d0

4129931472 has 80 divisors (see below), whose sum is σ = 10786571520. Its totient is φ = 1361558016.

The previous prime is 4129931437. The next prime is 4129931483. The reversal of 4129931472 is 2741399214.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1799958 + ... + 1802250.

It is an arithmetic number, because the mean of its divisors is an integer number (134832144).

Almost surely, 24129931472 is an apocalyptic number.

It is an amenable number.

4129931472 is an abundant number, since it is smaller than the sum of its proper divisors (6656640048).

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

4129931472 is a wasteful number, since it uses less digits than its factorization.

4129931472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2700 (or 2694 counting only the distinct ones).

The product of its digits is 108864, while the sum is 42.

The square root of 4129931472 is about 64264.5428833039. The cubic root of 4129931472 is about 1604.4060161679.

It can be divided in two parts, 41299 and 31472, that added together give a triangular number (72771 = T381).

The spelling of 4129931472 in words is "four billion, one hundred twenty-nine million, nine hundred thirty-one thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 157 239 314 471 478 628 717 942 956 1256 1434 1884 1912 2293 2512 2868 3768 3824 4586 5736 6879 7536 9172 11472 13758 18344 27516 36688 37523 55032 75046 110064 112569 150092 225138 300184 360001 450276 548027 600368 720002 900552 1080003 1096054 1440004 1644081 1801104 2160006 2192108 2880008 3288162 4320012 4384216 5760016 6576324 8640024 8768432 13152648 17280048 26305296 86040239 172080478 258120717 344160956 516241434 688321912 1032482868 1376643824 2064965736 4129931472