Search a number
-
+
24340340132010 = 23257151255863977
BaseRepresentation
bin1011000100011001011010…
…10100111100100010101010
310012011220200011011021020100
411202030231110330202222
511142243004033211020
6123433444202210230
75061350214305610
oct542145524744252
9105156604137210
1024340340132010
1178347534a9181
1228913a27b3976
1310773905a0066
146021161296b0
152c3234cc1a90
hex16232d53c8aa

24340340132010 has 96 divisors (see below), whose sum is σ = 72804559756032. Its totient is φ = 5526661881600.

The previous prime is 24340340131973. The next prime is 24340340132011. The reversal of 24340340132010 is 1023104304342.

24340340132010 is a `hidden beast` number, since 2 + 4 + 3 + 403 + 40 + 13 + 201 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (24340340132011) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 127836859 + ... + 128027118.

It is an arithmetic number, because the mean of its divisors is an integer number (758380830792).

Almost surely, 224340340132010 is an apocalyptic number.

24340340132010 is an abundant number, since it is smaller than the sum of its proper divisors (48464219624022).

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

24340340132010 is a wasteful number, since it uses less digits than its factorization.

24340340132010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255864148 (or 255864145 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 24340340132010 its reverse (1023104304342), we get a palindrome (25363444436352).

The spelling of 24340340132010 in words is "twenty-four trillion, three hundred forty billion, three hundred forty million, one hundred thirty-two thousand, ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 151 210 302 315 453 630 755 906 1057 1359 1510 2114 2265 2718 3171 4530 5285 6342 6795 9513 10570 13590 15855 19026 31710 47565 95130 255863977 511727954 767591931 1279319885 1535183862 1791047839 2302775793 2558639770 3582095678 3837959655 4605551586 5373143517 7675919310 8955239195 10746287034 11513878965 16119430551 17910478390 23027757930 26865717585 32238861102 38635460527 53731435170 77270921054 80597152755 115906381581 161194305510 193177302635 231812763162 270448223689 347719144743 386354605270 540896447378 579531907905 695438289486 811344671067 1159063815810 1352241118445 1622689342134 1738595723715 2434034013201 2704482236890 3477191447430 4056723355335 4868068026402 8113446710670 12170170066005 24340340132010