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4042655020124 = 2272791931352777
BaseRepresentation
bin111010110101000001000…
…001000011010001011100
3112022110210120122020100022
4322311001001003101130
51012213324141120444
612333100423051312
7565033521461300
oct72650101032134
915273716566308
104042655020124
111319531404616
125535b0ba0b38
132342b3c46306
14dd946391d00
157025aade9ee
hex3ad4104345c

4042655020124 has 72 divisors (see below), whose sum is σ = 8377050709440. Its totient is φ = 1701770563584.

The previous prime is 4042655020099. The next prime is 4042655020193. The reversal of 4042655020124 is 4210205562404.

It is a super-2 number, since 2×40426550201242 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2312024 + ... + 3664800.

It is an arithmetic number, because the mean of its divisors is an integer number (116347926520).

Almost surely, 24042655020124 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4042655020124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4188525354720).

4042655020124 is an abundant number, since it is smaller than the sum of its proper divisors (4334395689316).

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

4042655020124 is a wasteful number, since it uses less digits than its factorization.

4042655020124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1353067 (or 1353058 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 35.

The spelling of 4042655020124 in words is "four trillion, forty-two billion, six hundred fifty-five million, twenty thousand, one hundred twenty-four".

Divisors: 1 2 4 7 14 28 49 79 98 158 193 196 316 386 553 772 1106 1351 2212 2702 3871 5404 7742 9457 15247 15484 18914 30494 37828 60988 106729 213458 426916 747103 1352777 1494206 2705554 2988412 5411108 9469439 18938878 37877756 66286073 106869383 132572146 213738766 261085961 265144292 427477532 522171922 748085681 1044343844 1496171362 1827601727 2992342724 3655203454 5236599767 7310406908 10473199534 12793212089 20625790919 20946399068 25586424178 41251581838 51172848356 82503163676 144380536433 288761072866 577522145732 1010663755031 2021327510062 4042655020124