Search a number
-
+
4402566652044 = 2231126149706077
BaseRepresentation
bin100000000010000110101…
…1010111110000010001100
3120120212210102212111121210
41000010031122332002030
51034112424030331134
613210302230254420
7633034464043521
oct100041532760214
916525712774553
104402566652044
111448133111700
125b12b67b7410
1325c211101ba2
1411312a343148
15797c2d982e9
hex4010d6be08c

4402566652044 has 72 divisors (see below), whose sum is σ = 11476536937264. Its totient is φ = 1312240406400.

The previous prime is 4402566652027. The next prime is 4402566652093.

It is a happy number.

4402566652044 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 4402566651984 and 4402566652002.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24764467 + ... + 24941610.

Almost surely, 24402566652044 is an apocalyptic number.

4402566652044 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4402566652044 is an abundant number, since it is smaller than the sum of its proper divisors (7073970285220).

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

4402566652044 is a wasteful number, since it uses less digits than its factorization.

4402566652044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49706167 (or 49706154 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 48.

It can be divided in two parts, 4402566 and 652044, that added together give a triangular number (5054610 = T3179).

The spelling of 4402566652044 in words is "four trillion, four hundred two billion, five hundred sixty-six million, six hundred fifty-two thousand, forty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 61 66 121 122 132 183 242 244 363 366 484 671 726 732 1342 1452 2013 2684 4026 7381 8052 14762 22143 29524 44286 88572 49706077 99412154 149118231 198824308 298236462 546766847 596472924 1093533694 1640300541 2187067388 3032070697 3280601082 6014435317 6064141394 6561202164 9096212091 12028870634 12128282788 18043305951 18192424182 24057741268 33352777667 36086611902 36384848364 66705555334 72173223804 100058333001 133411110668 200116666002 366880554337 400233332004 733761108674 1100641663011 1467522217348 2201283326022 4402566652044