Search a number
-
+
32082023410320 = 243513103137728701
BaseRepresentation
bin1110100101101101011011…
…00110111110101010010000
311012121000022101001120121010
413102312231212332222100
513201112440443112240
6152122140022330520
76520564306362312
oct722665546765220
9135530271046533
1032082023410320
11a249a00925054
123721864889a40
1314b942508b230
147ccac76057b2
153a97d8c0e280
hex1d2dad9bea90

32082023410320 has 320 divisors, whose sum is σ = 108933976779264. Its totient is φ = 7763348275200.

The previous prime is 32082023410303. The next prime is 32082023410387. The reversal of 32082023410320 is 2301432028023.

It is a super-2 number, since 2×320820234103202 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 43661970 + ... + 44390670.

Almost surely, 232082023410320 is an apocalyptic number.

32082023410320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32082023410320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54466988389632).

32082023410320 is an abundant number, since it is smaller than the sum of its proper divisors (76851953368944).

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

32082023410320 is a wasteful number, since it uses less digits than its factorization.

32082023410320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 728970 (or 728964 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 32082023410320 its reverse (2301432028023), we get a palindrome (34383455438343).

The spelling of 32082023410320 in words is "thirty-two trillion, eighty-two billion, twenty-three million, four hundred ten thousand, three hundred twenty".