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4400021244201 = 3112383241353821
BaseRepresentation
bin100000000000111010110…
…1101000000100100101001
3120120122020001020101111020
41000001311231000210221
51034042220414303301
613205201501323053
7632614425324432
oct100016555004451
916518201211436
104400021244201
111447047314060
125b0906266489
1325bbc69645bb
14112d68272489
15796c469d436
hex40075b40929

4400021244201 has 128 divisors (see below), whose sum is σ = 6814315081728. Its totient is φ = 2499391488000.

The previous prime is 4400021244193. The next prime is 4400021244251. The reversal of 4400021244201 is 1024421200044.

It is not a de Polignac number, because 4400021244201 - 23 = 4400021244193 is a prime.

It is a super-2 number, since 2×44000212442012 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4400021244251) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5359343371 + ... + 5359344191.

It is an arithmetic number, because the mean of its divisors is an integer number (53236836576).

Almost surely, 24400021244201 is an apocalyptic number.

It is an amenable number.

4400021244201 is a deficient number, since it is larger than the sum of its proper divisors (2414293837527).

4400021244201 is a wasteful number, since it uses less digits than its factorization.

4400021244201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1535.

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 4400021244201 its reverse (1024421200044), we get a palindrome (5424442444245).

The spelling of 4400021244201 in words is "four trillion, four hundred billion, twenty-one million, two hundred forty-four thousand, two hundred one".

Divisors: 1 3 11 23 33 69 83 241 249 253 353 723 759 821 913 1059 1909 2463 2651 2739 3883 5543 5727 7953 8119 9031 11649 16629 18883 20003 20999 24357 27093 29299 56649 60009 60973 62997 68143 85073 87897 89309 182919 197861 204429 207713 220033 255219 267927 289813 322289 460069 593583 623139 660099 673877 749573 869439 935803 966867 1380207 1567289 1956679 2021631 2176471 2248719 2807409 3187943 4550803 4701867 5060759 5870037 6529413 6665699 7061059 7412647 9563829 13652409 15182277 16422463 17240179 19997097 21183177 21523469 22237941 24054479 49267389 50058833 51720537 64570407 69844933 72163437 73322689 77671649 150176499 162404357 180647093 209534799 219968067 233014947 264599269 377716649 487213071 541941279 553253017 768294263 793797807 1133149947 1606433459 1659759051 1786447927 2304882789 4154883139 4819300377 5359343781 5797129439 6085783187 12464649417 17391388317 17670768049 18257349561 53012304147 63768423829 133333977097 191305271487 400001931291 1466673748067 4400021244201