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140130013032 = 23321946250181
BaseRepresentation
bin1000001010000001100…
…1100100111101101000
3111101200220100020002200
42002200121210331220
54243441240404112
6144212544300200
713060360313022
oct2024031447550
9441626306080
10140130013032
1154479814929
12231a9311660
13102a27b3699
146ad49d3012
1539a2353cdc
hex20a0664f68

140130013032 has 24 divisors (see below), whose sum is σ = 379518785490. Its totient is φ = 46710004320.

The previous prime is 140130013019. The next prime is 140130013039. The reversal of 140130013032 is 230310031041.

It can be written as a sum of positive squares in only one way, i.e., 138022652196 + 2107360836 = 371514^2 + 45906^2 .

It is a tau number, because it is divible by the number of its divisors (24).

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

It is a junction number, because it is equal to n+sod(n) for n = 140130012996 and 140130013014.

It is not an unprimeable number, because it can be changed into a prime (140130013039) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 973125019 + ... + 973125162.

Almost surely, 2140130013032 is an apocalyptic number.

140130013032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

140130013032 is an abundant number, since it is smaller than the sum of its proper divisors (239388772458).

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

140130013032 is a wasteful number, since it uses less digits than its factorization.

140130013032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1946250193 (or 1946250186 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 140130013032 its reverse (230310031041), we get a palindrome (370440044073).

The spelling of 140130013032 in words is "one hundred forty billion, one hundred thirty million, thirteen thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1946250181 3892500362 5838750543 7785000724 11677501086 15570001448 17516251629 23355002172 35032503258 46710004344 70065006516 140130013032