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140837882328 = 233411132635779
BaseRepresentation
bin1000001100101010010…
…1111000100111011000
3111110112020022201020000
42003022211320213120
54301413444213303
6144411112333000
713114044150633
oct2031245704730
9443466281200
10140837882328
1154802349580
12233663a4160
1310386349860
146b60a18c1a
1539e457cda3
hex20ca9789d8

140837882328 has 320 divisors, whose sum is σ = 465283526400. Its totient is φ = 39238629120.

The previous prime is 140837882239. The next prime is 140837882357. The reversal of 140837882328 is 823288738041.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 24367743 + ... + 24373521.

It is an arithmetic number, because the mean of its divisors is an integer number (1454011020).

Almost surely, 2140837882328 is an apocalyptic number.

140837882328 is a gapful number since it is divisible by the number (18) 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 140837882328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232641763200).

140837882328 is an abundant number, since it is smaller than the sum of its proper divisors (324445644072).

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

140837882328 is a wasteful number, since it uses less digits than its factorization.

140837882328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6084 (or 6071 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 54.

It can be divided in two parts, 140837 and 882328, that added together give a triangular number (1023165 = T1430).

The spelling of 140837882328 in words is "one hundred forty billion, eight hundred thirty-seven million, eight hundred eighty-two thousand, three hundred twenty-eight".