Search a number
-
+
31405241230000 = 2454111511890743
BaseRepresentation
bin1110010010000000110100…
…01111110110001010110000
311010012022102020222121212121
413021000122033312022300
513104020413223330000
6150443211343404024
76420645103641211
oct711003217661260
9133168366877777
1031405241230000
11a008984a39a90
1236326678b3614
13146a669b66641
147a8043acd408
15396dc8140b1a
hex1c901a3f62b0

31405241230000 has 200 divisors, whose sum is σ = 83496888642816. Its totient is φ = 11344452000000.

The previous prime is 31405241229991. The next prime is 31405241230001. The reversal of 31405241230000 is 3214250413.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (31405241230001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 15664629 + ... + 17555371.

Almost surely, 231405241230000 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 31405241230000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41748444321408).

31405241230000 is an abundant number, since it is smaller than the sum of its proper divisors (52091647412816).

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

31405241230000 is a wasteful number, since it uses less digits than its factorization.

31405241230000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1890933 (or 1890912 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 31405241230000 its reverse (3214250413), we get a palindrome (31408455480413).

The spelling of 31405241230000 in words is "thirty-one trillion, four hundred five billion, two hundred forty-one million, two hundred thirty thousand".