Search a number
-
+
3220141401024 = 263291549373357
BaseRepresentation
bin101110110110111111011…
…000100110001111000000
3102101211202012011010221020
4232312333120212033000
5410224322144313044
610503151301425440
7451435051201632
oct56667730461700
912354665133836
103220141401024
111031721965649
12440102a0b280
131a4872904942
14b1bd9d8aa52
1558b6b065a19
hex2edbf6263c0

3220141401024 has 112 divisors (see below), whose sum is σ = 8819462676000. Its totient is φ = 1035695517696.

The previous prime is 3220141400999. The next prime is 3220141401031. The reversal of 3220141401024 is 4201041410223.

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 = 3220141400985 and 3220141401003.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8438154 + ... + 8811510.

Almost surely, 23220141401024 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 3220141401024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4409731338000).

3220141401024 is an abundant number, since it is smaller than the sum of its proper divisors (5599321274976).

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

3220141401024 is a wasteful number, since it uses less digits than its factorization.

3220141401024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374950 (or 374940 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 3220141401024 its reverse (4201041410223), we get a palindrome (7421182811247).

The spelling of 3220141401024 in words is "three trillion, two hundred twenty billion, one hundred forty-one million, four hundred one thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 116 174 192 232 348 464 696 928 1392 1549 1856 2784 3098 4647 5568 6196 9294 12392 18588 24784 37176 44921 49568 74352 89842 99136 134763 148704 179684 269526 297408 359368 373357 539052 718736 746714 1078104 1120071 1437472 1493428 2156208 2240142 2874944 2986856 4312416 4480284 5973712 8624832 8960568 10827353 11947424 17921136 21654706 23894848 32482059 35842272 43309412 64964118 71684544 86618824 129928236 173237648 259856472 346475296 519712944 578329993 692950592 1039425888 1156659986 1734989979 2078851776 2313319972 3469979958 4626639944 6939959916 9253279888 13879919832 16771569797 18506559776 27759839664 33543139594 37013119552 50314709391 55519679328 67086279188 100629418782 111039358656 134172558376 201258837564 268345116752 402517675128 536690233504 805035350256 1073380467008 1610070700512 3220141401024