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140533151340 = 2235101115320113
BaseRepresentation
bin1000001011100001101…
…1011011011001101100
3111102201222220202220010
42002320123123121230
54300302441320330
6144320545053220
713103354035251
oct2027033333154
9442658822803
10140533151340
115466633368a
12232a0327210
131033818356a
146b32373428
1539c79373b0
hex20b86db66c

140533151340 has 96 divisors (see below), whose sum is σ = 397753223616. Its totient is φ = 37070438400.

The previous prime is 140533151327. The next prime is 140533151347. The reversal of 140533151340 is 43151335041.

140533151340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 140533151298 and 140533151307.

It is not an unprimeable number, because it can be changed into a prime (140533151347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6977124 + ... + 6997236.

It is an arithmetic number, because the mean of its divisors is an integer number (4143262746).

Almost surely, 2140533151340 is an apocalyptic number.

140533151340 is a gapful number since it is divisible by the number (10) 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 140533151340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198876611808).

140533151340 is an abundant number, since it is smaller than the sum of its proper divisors (257220072276).

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

140533151340 is a wasteful number, since it uses less digits than its factorization.

140533151340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21379 (or 21377 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

Adding to 140533151340 its reverse (43151335041), we get a palindrome (183684486381).

The spelling of 140533151340 in words is "one hundred forty billion, five hundred thirty-three million, one hundred fifty-one thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 101 202 303 404 505 606 1010 1153 1212 1515 2020 2306 3030 3459 4612 5765 6060 6918 11530 13836 17295 20113 23060 34590 40226 60339 69180 80452 100565 116453 120678 201130 232906 241356 301695 349359 402260 465812 582265 603390 698718 1164530 1206780 1397436 1746795 2031413 2329060 3493590 4062826 6094239 6987180 8125652 10157065 12188478 20314130 23190289 24376956 30471195 40628260 46380578 60942390 69570867 92761156 115951445 121884780 139141734 231902890 278283468 347854335 463805780 695708670 1391417340 2342219189 4684438378 7026657567 9368876756 11711095945 14053315134 23422191890 28106630268 35133287835 46844383780 70266575670 140533151340