Search a number
-
+
23245405141540 = 2252001535806909
BaseRepresentation
bin1010100100100001111100…
…00111011011101000100100
310001022020110020210122101011
411102100332013123220210
511021323042204012130
6121234443001312004
74616265544405651
oct522207607335044
9101266406718334
1023245405141540
11745235921787a
122735147195604
13cc8055c6585a
145a5125606c28
152a49edd1952a
hex15243e1dba24

23245405141540 has 24 divisors (see below), whose sum is σ = 48815603093880. Its totient is φ = 9298114000128.

The previous prime is 23245405141531. The next prime is 23245405141547. The reversal of 23245405141540 is 4514150454232.

It can be written as a sum of positive squares in 4 ways, for example, as 1890119033856 + 21355286107684 = 1374816^2 + 4621178^2 .

It is a super-3 number, since 3×232454051415403 (a number of 41 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 23245405141493 and 23245405141502.

It is not an unprimeable number, because it can be changed into a prime (23245405141547) 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, 1099606 + ... + 6906514.

It is an arithmetic number, because the mean of its divisors is an integer number (2033983462245).

Almost surely, 223245405141540 is an apocalyptic number.

23245405141540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23245405141540 is an abundant number, since it is smaller than the sum of its proper divisors (25570197952340).

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

23245405141540 is a wasteful number, since it uses less digits than its factorization.

23245405141540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6007071 (or 6007069 counting only the distinct ones).

The product of its (nonzero) digits is 384000, while the sum is 40.

Adding to 23245405141540 its reverse (4514150454232), we get a palindrome (27759555595772).

The spelling of 23245405141540 in words is "twenty-three trillion, two hundred forty-five billion, four hundred five million, one hundred forty-one thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 200153 400306 800612 1000765 2001530 4003060 5806909 11613818 23227636 29034545 58069090 116138180 1162270257077 2324540514154 4649081028308 5811351285385 11622702570770 23245405141540