Search a number
-
+
2432240540420 = 2257117925033823
BaseRepresentation
bin100011011001001100110…
…101010101101100000100
322121112001000200100222112
4203121030311111230010
5304322212034243140
65101204511520152
7340503121322525
oct43311465255404
98545030610875
102432240540420
11858564416409
12333474529058
131484894c1962
1485a1488c84c
1543405078c65
hex2364cd55b04

2432240540420 has 96 divisors (see below), whose sum is σ = 5212025118720. Its totient is φ = 953204353920.

The previous prime is 2432240540413. The next prime is 2432240540467. The reversal of 2432240540420 is 240450422342.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 636210629 + ... + 636214451.

It is an arithmetic number, because the mean of its divisors is an integer number (54291928320).

Almost surely, 22432240540420 is an apocalyptic number.

2432240540420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2432240540420 is an abundant number, since it is smaller than the sum of its proper divisors (2779784578300).

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

2432240540420 is a wasteful number, since it uses less digits than its factorization.

2432240540420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6585 (or 6583 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 32.

Adding to 2432240540420 its reverse (240450422342), we get a palindrome (2672690962762).

The spelling of 2432240540420 in words is "two trillion, four hundred thirty-two billion, two hundred forty million, five hundred forty thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 71 142 179 284 355 358 710 716 895 1420 1790 2503 3580 3823 5006 7646 10012 12515 12709 15292 19115 25030 25418 38230 50060 50836 63545 76460 127090 177713 254180 271433 355426 448037 542866 684317 710852 888565 896074 1085732 1357165 1368634 1777130 1792148 2240185 2714330 2737268 3421585 3554260 4480370 5428660 6843170 8960740 9568969 13686340 19137938 31810627 38275876 47844845 48586507 63621254 95689690 97173014 127242508 159053135 191379380 194346028 242932535 318106270 485865070 636212540 679396799 971730140 1358793598 1712845451 2717587196 3396983995 3425690902 6793967990 6851381804 8564227255 13587935980 17128454510 34256909020 121612027021 243224054042 486448108084 608060135105 1216120270210 2432240540420