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640441444144046 = 219671391809698509
BaseRepresentation
bin1001000110011110100110010…
…0110001110001001110101110
310002222121121022101212012201112
42101213221210301301032232
51132420443034200102141
610150034423204512022
7251620240006536206
oct22147514461611656
93088547271765645
10640441444144046
11176078766a44226
125b9b5a139ab612
13216484a4a2b57c
14b421761bdb406
154e09541e7e7eb
hex2467a64c713ae

640441444144046 has 32 divisors (see below), whose sum is σ = 1033699788912000. Its totient is φ = 296689212195552.

The previous prime is 640441444144043. The next prime is 640441444144147.

640441444144046 is nontrivially palindromic in base 10.

640441444144046 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×6404414441440462 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 640441444143985 and 640441444144003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (640441444144043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 904495361 + ... + 905203148.

It is an arithmetic number, because the mean of its divisors is an integer number (32303118403500).

Almost surely, 2640441444144046 is an apocalyptic number.

640441444144046 is a deficient number, since it is larger than the sum of its proper divisors (393258344767954).

640441444144046 is a wasteful number, since it uses less digits than its factorization.

640441444144046 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1809698736.

The product of its (nonzero) digits is 9437184, while the sum is 50.

The spelling of 640441444144046 in words is "six hundred forty trillion, four hundred forty-one billion, four hundred forty-four million, one hundred forty-four thousand, forty-six".

Divisors: 1 2 19 38 67 134 139 278 1273 2546 2641 5282 9313 18626 176947 353894 1809698509 3619397018 34384271671 68768543342 121249800103 242499600206 251548092751 503096185502 2303746201957 4607492403914 4779413762269 9558827524538 16853722214317 33707444428634 320220722072023 640441444144046