Search a number
-
+
4132141130 = 2513233741911
BaseRepresentation
bin1111011001001011…
…0111100001001010
3101122222100112000002
43312102313201022
531430312004010
61522010043002
7204253422455
oct36622674112
911588315002
104132141130
111830538877
12973a19462
1350b109930
142b2b1049c
15192b781a5
hexf64b784a

4132141130 has 128 divisors (see below), whose sum is σ = 8803178496. Its totient is φ = 1383782400.

The previous prime is 4132141127. The next prime is 4132141213. The reversal of 4132141130 is 311412314.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 4535375 + ... + 4536285.

It is an arithmetic number, because the mean of its divisors is an integer number (68774832).

Almost surely, 24132141130 is an apocalyptic number.

4132141130 is an abundant number, since it is smaller than the sum of its proper divisors (4671037366).

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

4132141130 is a wasteful number, since it uses less digits than its factorization.

4132141130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1032.

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 4132141130 is about 64281.7324750975. The cubic root of 4132141130 is about 1604.6921029576.

Adding to 4132141130 its reverse (311412314), we get a palindrome (4443553444).

The spelling of 4132141130 in words is "four billion, one hundred thirty-two million, one hundred forty-one thousand, one hundred thirty".

Divisors: 1 2 5 10 13 23 26 37 41 46 65 74 82 115 130 185 205 230 299 370 410 481 533 598 851 911 943 962 1066 1495 1517 1702 1822 1886 2405 2665 2990 3034 4255 4555 4715 4810 5330 7585 8510 9110 9430 11063 11843 12259 15170 19721 20953 22126 23686 24518 33707 34891 37351 39442 41906 55315 59215 61295 67414 69782 74702 98605 104765 110630 118430 122590 168535 174455 186755 197210 209530 272389 337070 348910 373510 438191 453583 485563 544778 775261 859073 876382 907166 971126 1361945 1381987 1550522 1718146 2190955 2267915 2427815 2723890 2763974 3876305 4295365 4381910 4535830 4855630 6909935 7752610 8590730 10078393 11167949 13819870 17965831 20156786 22335898 31785701 35931662 50391965 55839745 63571402 89829155 100783930 111679490 158928505 179658310 317857010 413214113 826428226 2066070565 4132141130