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235132341440 = 26523312334423
BaseRepresentation
bin1101101011111011111…
…0101100110011000000
3211110220202222112202112
43122332332230303000
512323022334411230
6300003542034452
722662540632303
oct3327676546300
9743822875675
10235132341440
11907a0093327
12396a1418a28
1319232a9b2a9
14b547ddab3a
1561b2946d95
hex36befaccc0

235132341440 has 224 divisors, whose sum is σ = 605824966656. Its totient is φ = 86668369920.

The previous prime is 235132341427. The next prime is 235132341461. The reversal of 235132341440 is 44143231532.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 235132341397 and 235132341406.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53159069 + ... + 53163491.

It is an arithmetic number, because the mean of its divisors is an integer number (2704575744).

Almost surely, 2235132341440 is an apocalyptic number.

235132341440 is a gapful number since it is divisible by the number (20) 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 235132341440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302912483328).

235132341440 is an abundant number, since it is smaller than the sum of its proper divisors (370692625216).

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

235132341440 is a wasteful number, since it uses less digits than its factorization.

235132341440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4727 (or 4717 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 32.

Adding to 235132341440 its reverse (44143231532), we get a palindrome (279275572972).

The spelling of 235132341440 in words is "two hundred thirty-five billion, one hundred thirty-two million, three hundred forty-one thousand, four hundred forty".