Search a number
-
+
131155434336 = 2532947110429
BaseRepresentation
bin111101000100101111…
…0010001101101100000
3110112112110002101120010
41322021132101231200
54122101242344321
6140130232044520
712322103540403
oct1721136215540
9415473071503
10131155434336
1150693907043
1221503833740
13c4a23942a4
1464c2b17d3a
1536294e9676
hex1e89791b60

131155434336 has 48 divisors (see below), whose sum is σ = 356154850800. Its totient is φ = 42210943488.

The previous prime is 131155434329. The next prime is 131155434337. The reversal of 131155434336 is 633434551131.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 131155434294 and 131155434303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131155434337) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23552431 + ... + 23557998.

It is an arithmetic number, because the mean of its divisors is an integer number (7419892725).

Almost surely, 2131155434336 is an apocalyptic number.

131155434336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

131155434336 is an abundant number, since it is smaller than the sum of its proper divisors (224999416464).

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

131155434336 is a wasteful number, since it uses less digits than its factorization.

131155434336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47110471 (or 47110463 counting only the distinct ones).

The product of its digits is 194400, while the sum is 39.

Adding to 131155434336 its reverse (633434551131), we get a palindrome (764589985467).

The spelling of 131155434336 in words is "one hundred thirty-one billion, one hundred fifty-five million, four hundred thirty-four thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 87 96 116 174 232 348 464 696 928 1392 2784 47110429 94220858 141331287 188441716 282662574 376883432 565325148 753766864 1130650296 1366202441 1507533728 2261300592 2732404882 4098607323 4522601184 5464809764 8197214646 10929619528 16394429292 21859239056 32788858584 43718478112 65577717168 131155434336