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4020244030032 = 243536312504413
BaseRepresentation
bin111010100000001001001…
…101111010001001010000
3112020022221201101222110020
4322200021031322021100
51011331424432430112
612314512525503440
7563311252265616
oct72401115721120
915208851358406
104020244030032
11130aa80a46aaa
1254b197711b80
13232151c05629
14dc81bbc96b6
156e89837b48c
hex3a80937a250

4020244030032 has 80 divisors (see below), whose sum is σ = 10598359483008. Its totient is φ = 1312712593920.

The previous prime is 4020244030009. The next prime is 4020244030051. The reversal of 4020244030032 is 2300304420204.

It is a super-2 number, since 2×40202440300322 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 4020244029984 and 4020244030011.

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 15 ways as a sum of consecutive naturals, for example, 353058 + ... + 2857470.

Almost surely, 24020244030032 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 4020244030032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5299179741504).

4020244030032 is an abundant number, since it is smaller than the sum of its proper divisors (6578115452976).

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

4020244030032 is a wasteful number, since it uses less digits than its factorization.

4020244030032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2505108 (or 2505102 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

Adding to 4020244030032 its reverse (2300304420204), we get a palindrome (6320548450236).

The spelling of 4020244030032 in words is "four trillion, twenty billion, two hundred forty-four million, thirty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 53 106 159 212 318 424 631 636 848 1262 1272 1893 2524 2544 3786 5048 7572 10096 15144 30288 33443 66886 100329 133772 200658 267544 401316 535088 802632 1605264 2504413 5008826 7513239 10017652 15026478 20035304 30052956 40070608 60105912 120211824 132733889 265467778 398201667 530935556 796403334 1061871112 1580284603 1592806668 2123742224 3160569206 3185613336 4740853809 6321138412 6371226672 9481707618 12642276824 18963415236 25284553648 37926830472 75853660944 83755083959 167510167918 251265251877 335020335836 502530503754 670040671672 1005061007508 1340081343344 2010122015016 4020244030032