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3520030120040 = 2357192333283609
BaseRepresentation
bin110011001110010010001…
…001010001100001101000
3110110111210221200111212102
4303032102021101201220
5430133010202320130
611253025101432532
7512212425226040
oct63162211214150
913414727614772
103520030120040
111137922265895
1248a256b6b748
131c6c256700c5
14c2528402720
156186da92645
hex33392251868

3520030120040 has 128 divisors (see below), whose sum is σ = 9532018656000. Its totient is φ = 1142854023168.

The previous prime is 3520030120039. The next prime is 3520030120111. The reversal of 3520030120040 is 400210300253.

It is a happy number.

It is a super-2 number, since 2×35200301200402 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 3520030119994 and 3520030120021.

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 31 ways as a sum of consecutive naturals, for example, 12269756 + ... + 12553364.

It is an arithmetic number, because the mean of its divisors is an integer number (74468895750).

Almost surely, 23520030120040 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 3520030120040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4766009328000).

3520030120040 is an abundant number, since it is smaller than the sum of its proper divisors (6011988535960).

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

3520030120040 is a wasteful number, since it uses less digits than its factorization.

3520030120040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285979 (or 285975 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

Adding to 3520030120040 its reverse (400210300253), we get a palindrome (3920240420293).

The spelling of 3520030120040 in words is "three trillion, five hundred twenty billion, thirty million, one hundred twenty thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 19 20 28 35 38 40 56 70 76 95 133 140 152 190 266 280 380 532 665 760 1064 1330 2333 2660 4666 5320 9332 11665 16331 18664 23330 32662 44327 46660 65324 81655 88654 93320 130648 163310 177308 221635 283609 310289 326620 354616 443270 567218 620578 653240 886540 1134436 1241156 1418045 1551445 1773080 1985263 2268872 2482312 2836090 3102890 3970526 5388571 5672180 6205780 7941052 9926315 10777142 11344360 12411560 15882104 19852630 21554284 26942855 37719997 39705260 43108568 53885710 75439994 79410520 107771420 150879988 188599985 215542840 301759976 377199970 661659797 754399940 1323319594 1508799880 2646639188 3308298985 4631618579 5293278376 6616597970 9263237158 12571536143 13233195940 18526474316 23158092895 25143072286 26466391880 37052948632 46316185790 50286144572 62857680715 88000753001 92632371580 100572289144 125715361430 176001506002 185264743160 251430722860 352003012004 440003765005 502861445720 704006024008 880007530010 1760015060020 3520030120040