Search a number
-
+
31400423132000 = 2553134339139169
BaseRepresentation
bin1110010001110111110110…
…00100010000101101100000
311010011211222110212212221112
413020323323010100231200
513103431031310211000
6150441053311042452
76420414520533236
oct710737304205540
9133154873785845
1031400423132000
11a00693228370a
123631742210428
13146a07c8c6590
147a7b07c5c956
15396be516b235
hex1c8efb110b60

31400423132000 has 192 divisors, whose sum is σ = 83105265297600. Its totient is φ = 11591247052800.

The previous prime is 31400423131967. The next prime is 31400423132003. The reversal of 31400423132000 is 23132400413.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31400423132003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 225558416 + ... + 225697584.

It is an arithmetic number, because the mean of its divisors is an integer number (432839923425).

Almost surely, 231400423132000 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 31400423132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41552632648800).

31400423132000 is an abundant number, since it is smaller than the sum of its proper divisors (51704842165600).

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

31400423132000 is a wasteful number, since it uses less digits than its factorization.

31400423132000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143546 (or 143528 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 31400423132000 its reverse (23132400413), we get a palindrome (31423555532413).

The spelling of 31400423132000 in words is "thirty-one trillion, four hundred billion, four hundred twenty-three million, one hundred thirty-two thousand".