Search a number
-
+
131342442231440 = 24511294053507571
BaseRepresentation
bin11101110111010010001011…
…100111001111011010010000
3122020001012210121220111012202
4131313102023213033122100
5114203403310202401230
61143201515053542332
736444115105331216
oct3567221347173220
9566035717814182
10131342442231440
1138939020605050
12128930661a49a8
1358397016b5c2b
142461018408cb6
15102b7b95bea45
hex77748b9cf690

131342442231440 has 80 divisors (see below), whose sum is σ = 333133983614016. Its totient is φ = 47760631564800.

The previous prime is 131342442231401. The next prime is 131342442231461. The reversal of 131342442231440 is 44132244243131.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 131342442231394 and 131342442231403.

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, 258512855 + ... + 259020425.

Almost surely, 2131342442231440 is an apocalyptic number.

131342442231440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131342442231440 is an abundant number, since it is smaller than the sum of its proper divisors (201791541382576).

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

131342442231440 is a wasteful number, since it uses less digits than its factorization.

131342442231440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 801648 (or 801642 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 38.

Adding to 131342442231440 its reverse (44132244243131), we get a palindrome (175474686474571).

The spelling of 131342442231440 in words is "one hundred thirty-one trillion, three hundred forty-two billion, four hundred forty-two million, two hundred thirty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 294053 507571 588106 1015142 1176212 1470265 2030284 2352424 2537855 2940530 3234583 4060568 4704848 5075710 5583281 5881060 6469166 8121136 10151420 11166562 11762120 12938332 16172915 20302840 22333124 23524240 25876664 27916405 32345830 40605680 44666248 51753328 55832810 64691660 89332496 111665620 129383320 223331240 258766640 446662480 149252775263 298505550526 597011101052 746263876315 1194022202104 1492527752630 1641780527893 2388044404208 2985055505260 3283561055786 5970111010520 6567122111572 8208902639465 11940222021040 13134244223144 16417805278930 26268488446288 32835610557860 65671221115720 131342442231440