Search a number
-
+
131140504544432 = 241931179655111867
BaseRepresentation
bin11101110100010110000111…
…001100000110010010110000
3122012022220120020112002211212
4131310112013030012102300
5114142101223130410212
61142525041024255252
736423405645322025
oct3564260714062260
9565286506462755
10131140504544432
1138870414a97a29
121285baa9771528
13582365bac93c6
14245533cc4d54c
1510263eae95e22
hex7745873064b0

131140504544432 has 160 divisors (see below), whose sum is σ = 277693426483200. Its totient is φ = 59765339808000.

The previous prime is 131140504544389. The next prime is 131140504544459. The reversal of 131140504544432 is 234445405041131.

It is a self number, because there is not a number n which added to its sum of digits gives 131140504544432.

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, 11050849763 + ... + 11050861629.

It is an arithmetic number, because the mean of its divisors is an integer number (1735583915520).

Almost surely, 2131140504544432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131140504544432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138846713241600).

131140504544432 is an abundant number, since it is smaller than the sum of its proper divisors (146552921938768).

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

131140504544432 is a wasteful number, since it uses less digits than its factorization.

131140504544432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18655 (or 18649 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 41.

Adding to 131140504544432 its reverse (234445405041131), we get a palindrome (365585909585563).

The spelling of 131140504544432 in words is "one hundred thirty-one trillion, one hundred forty billion, five hundred four million, five hundred forty-four thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 19 31 38 62 76 124 152 179 248 304 358 496 589 716 1178 1432 2356 2864 3401 4712 5549 6551 6802 9424 11098 11867 13102 13604 22196 23734 26204 27208 44392 47468 52408 54416 88784 94936 104816 105431 124469 189872 203081 210862 225473 248938 367877 406162 421724 450946 497876 735754 812324 843448 901892 995752 1172629 1471508 1624648 1686896 1803784 1991504 2124193 2345258 2943016 3249296 3607568 3858539 4248386 4690516 5886032 6989663 7717078 8496772 9381032 13979326 15434156 16993544 18762064 22279951 27958652 30868312 33987088 36351499 40359667 44559902 55917304 61736624 65849983 72702998 77740717 80719334 89119804 111834608 131699966 145405996 155481434 161438668 178239608 263399932 290811992 310962868 322877336 356479216 526799864 581623984 621925736 645754672 690678481 1053599728 1243851472 1251149677 1381356962 1477073623 2409962227 2502299354 2762713924 2954147246 4819924454 5004598708 5525427848 5908294492 9639848908 10009197416 11050855696 11816588984 13915588343 19279697816 20018394832 23633177968 27831176686 38559395632 45789282313 55662353372 91578564626 111324706744 183157129252 222649413488 264396178517 366314258504 431383238633 528792357034 732628517008 862766477266 1057584714068 1725532954532 2115169428136 3451065909064 4230338856272 6902131818128 8196281534027 16392563068054 32785126136108 65570252272216 131140504544432