Search a number
-
+
141132414505340 = 22516215443799789
BaseRepresentation
bin100000000101101111110011…
…011011101101000101111100
3200111201010102121220210100202
4200011233303123231011330
5121444303141103132330
61220055200335543032
741504323540541456
oct4005576333550574
9614633377823322
10141132414505340
1140a72a14745925
12139b44a808aa78
136099963b77b3b
1426bcbb97572d6
15114b2a0a55445
hex805bf36ed17c

141132414505340 has 48 divisors (see below), whose sum is σ = 296615762718240. Its totient is φ = 56407703996160.

The previous prime is 141132414505339. The next prime is 141132414505403. The reversal of 141132414505340 is 43505414231141.

It is a super-3 number, since 3×1411324145053403 (a number of 43 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 141132414505294 and 141132414505303.

It is a congruent number.

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, 176062166 + ... + 176861954.

It is an arithmetic number, because the mean of its divisors is an integer number (6179495056630).

Almost surely, 2141132414505340 is an apocalyptic number.

141132414505340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

141132414505340 is an abundant number, since it is smaller than the sum of its proper divisors (155483348212900).

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

141132414505340 is a wasteful number, since it uses less digits than its factorization.

141132414505340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 806862 (or 806860 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 38.

Adding to 141132414505340 its reverse (43505414231141), we get a palindrome (184637828736481).

The spelling of 141132414505340 in words is "one hundred forty-one trillion, one hundred thirty-two billion, four hundred fourteen million, five hundred five thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 1621 3242 5443 6484 8105 10886 16210 21772 27215 32420 54430 108860 799789 1599578 3199156 3998945 7997890 8823103 15995780 17646206 35292412 44115515 88231030 176462060 1296457969 2592915938 4353251527 5185831876 6482289845 8706503054 12964579690 17413006108 21766257635 25929159380 43532515270 87065030540 7056620725267 14113241450534 28226482901068 35283103626335 70566207252670 141132414505340