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4042404044220 = 2235157582173721
BaseRepresentation
bin111010110100110010000…
…011101001110110111100
3112022110011002101100010110
4322310302003221312330
51012212320413403340
612333015455510020
7565024353303153
oct72646203516674
915273132340113
104042404044220
111319412774713
12553540b28310
13234273c51669
14dd920d0059a
1570243a66680
hex3ad320e9dbc

4042404044220 has 96 divisors (see below), whose sum is σ = 11392936543296. Its totient is φ = 1070909798400.

The previous prime is 4042404044219. The next prime is 4042404044251. The reversal of 4042404044220 is 224404042404.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 31 ways as a sum of consecutive naturals, for example, 54796960 + ... + 54870680.

It is an arithmetic number, because the mean of its divisors is an integer number (118676422326).

Almost surely, 24042404044220 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 4042404044220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5696468271648).

4042404044220 is an abundant number, since it is smaller than the sum of its proper divisors (7350532499076).

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

4042404044220 is a wasteful number, since it uses less digits than its factorization.

4042404044220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79711 (or 79709 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 30.

Adding to 4042404044220 its reverse (224404042404), we get a palindrome (4266808086624).

The spelling of 4042404044220 in words is "four trillion, forty-two billion, four hundred four million, forty-four thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 157 314 471 628 785 942 1570 1884 2355 3140 4710 5821 9420 11642 17463 23284 29105 34926 58210 69852 73721 87315 116420 147442 174630 221163 294884 349260 368605 442326 737210 884652 913897 1105815 1474420 1827794 2211630 2741691 3655588 4423260 4569485 5483382 9138970 10966764 11574197 13708455 18277940 23148394 27416910 34722591 46296788 54833820 57870985 69445182 115741970 138890364 173612955 231483940 347225910 429129941 694451820 858259882 1287389823 1716519764 2145649705 2574779646 4291299410 5149559292 6436949115 8582598820 12873898230 25747796460 67373400737 134746801474 202120202211 269493602948 336867003685 404240404422 673734007370 808480808844 1010601011055 1347468014740 2021202022110 4042404044220