Search a number
-
+
32241314010330 = 232531711518631249
BaseRepresentation
bin1110101010010110001000…
…00100011001010011011010
311020011020110121102110202100
413111023010010121103122
513211220202341312310
6152323242152544230
76535233550214055
oct725130404312332
9136136417373670
1032241314010330
11a300512258527
1237486ba9b2076
1314cb45c377039
147d66b8c15a9c
153ada0d26dec0
hex1d52c41194da

32241314010330 has 384 divisors, whose sum is σ = 88504565760000. Its totient is φ = 8132866560000.

The previous prime is 32241314010329. The next prime is 32241314010391. The reversal of 32241314010330 is 3301041314223.

It is a happy number.

32241314010330 is a `hidden beast` number, since 3 + 2 + 2 + 4 + 1 + 314 + 0 + 10 + 330 = 666.

It is a super-2 number, since 2×322413140103302 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 32241314010294 and 32241314010303.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 25813701546 + ... + 25813702794.

It is an arithmetic number, because the mean of its divisors is an integer number (230480640000).

Almost surely, 232241314010330 is an apocalyptic number.

32241314010330 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 32241314010330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44252282880000).

32241314010330 is an abundant number, since it is smaller than the sum of its proper divisors (56263251749670).

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

32241314010330 is a wasteful number, since it uses less digits than its factorization.

32241314010330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2378 (or 2375 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 32241314010330 its reverse (3301041314223), we get a palindrome (35542355324553).

The spelling of 32241314010330 in words is "thirty-two trillion, two hundred forty-one billion, three hundred fourteen million, ten thousand, three hundred thirty".