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2140432000002 = 2321753942114009
BaseRepresentation
bin11111001001011011101…
…100000110010000000010
321120121211101102121022100
4133021123230012100002
5240032101043000002
64315144554051230
7310432620544422
oct37113354062002
97517741377270
102140432000002
11755830076a1a
122a69b6419b16
13126ac379006a
1475851612482
153aa26ad411c
hex1f25bb06402

2140432000002 has 96 divisors (see below), whose sum is σ = 5003940155760. Its totient is φ = 658721157120.

The previous prime is 2140431999997. The next prime is 2140432000009. The reversal of 2140432000002 is 2000002340412.

It can be written as a sum of positive squares in 8 ways, for example, as 1720632969441 + 419799030561 = 1311729^2 + 647919^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2140432000009) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 152782774 + ... + 152796782.

Almost surely, 22140432000002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2140432000002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2501970077880).

2140432000002 is an abundant number, since it is smaller than the sum of its proper divisors (2863508155758).

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

2140432000002 is a wasteful number, since it uses less digits than its factorization.

2140432000002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23508 (or 23505 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 2140432000002 its reverse (2000002340412), we get a palindrome (4140434340414).

The spelling of 2140432000002 in words is "two trillion, one hundred forty billion, four hundred thirty-two million, two", and thus it is an aban number.

Divisors: 1 2 3 6 9 17 18 34 51 53 102 106 153 159 306 318 477 901 954 1802 2703 5406 8109 9421 14009 16218 18842 28018 28263 42027 56526 84054 84789 126081 160157 169578 238153 252162 320314 476306 480471 499313 714459 742477 960942 998626 1428918 1441413 1484954 1497939 2143377 2227431 2882826 2995878 4286754 4454862 4493817 6682293 8488321 8987634 12622109 13364586 16976642 25244218 25464963 37866327 50929926 75732654 76394889 113598981 131978789 152789778 227197962 263957578 395936367 791872734 1187809101 2243639413 2375618202 4487278826 6730918239 6994875817 13461836478 13989751634 20192754717 20984627451 40385509434 41969254902 62953882353 118912888889 125907764706 237825777778 356738666667 713477333334 1070216000001 2140432000002