Search a number
-
+
540430412410344 = 2331741105491306253
BaseRepresentation
bin111101011100001001100001…
…0110000011110110111101000
32121212111122100122101112202010
41322320103002300132313220
51031313402441034112334
65153222145401435520
7221555544264242001
oct17270230260366750
92555448318345663
10540430412410344
1114721a2838a5265
125074304b79bba0
131a2724a5229b61
149764d85c181a8
154272c7de530e9
hex1eb84c2c1ede8

540430412410344 has 128 divisors (see below), whose sum is σ = 1465461258468480. Its totient is φ = 165409400217600.

The previous prime is 540430412410309. The next prime is 540430412410381. The reversal of 540430412410344 is 443014214034045.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1764500322 + ... + 1764806574.

It is an arithmetic number, because the mean of its divisors is an integer number (11448916081785).

Almost surely, 2540430412410344 is an apocalyptic number.

It is an amenable number.

540430412410344 is an abundant number, since it is smaller than the sum of its proper divisors (925030846058136).

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

540430412410344 is a wasteful number, since it uses less digits than its factorization.

540430412410344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411811 (or 411807 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 39.

Adding to 540430412410344 its reverse (443014214034045), we get a palindrome (983444626444389).

The spelling of 540430412410344 in words is "five hundred forty trillion, four hundred thirty billion, four hundred twelve million, four hundred ten thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 17 24 34 41 51 68 82 102 123 136 164 204 246 328 408 492 697 984 1394 2091 2788 4182 5576 8364 16728 105491 210982 306253 316473 421964 612506 632946 843928 918759 1225012 1265892 1793347 1837518 2450024 2531784 3586694 3675036 4325131 5206301 5380041 7173388 7350072 8650262 10412602 10760082 12556373 12975393 14346776 15618903 17300524 20825204 21520164 25112746 25950786 31237806 34601048 37669119 41650408 43040328 50225492 51901572 62475612 73527227 75338238 100450984 103803144 124951224 147054454 150676476 213458341 220581681 294108908 301352952 426916682 441163362 588217816 640375023 853833364 882326724 1280750046 1707666728 1764653448 2561500092 5123000184 32306935223 64613870446 96920805669 129227740892 193841611338 258455481784 387683222676 549217898791 775366445352 1098435797582 1324584344143 1647653696373 2196871595164 2649168688286 3295307392746 3973753032429 4393743190328 5298337376572 6590614785492 7947506064858 10596674753144 13181229570984 15895012129716 22517933850431 31790024259432 45035867700862 67553801551293 90071735401724 135107603102586 180143470803448 270215206205172 540430412410344