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4221441023436 = 22327131361946801
BaseRepresentation
bin111101011011100001011…
…111100001110111001100
3112221120021111001020012200
4331123201133201313030
51023131002400222221
612551145255401500
7613663146436410
oct75334137416714
915846244036180
104221441023436
11138833745004a
12582188083290
13248107205610
14108466c56d40
1574c21945426
hex3d6e17e1dcc

4221441023436 has 144 divisors (see below), whose sum is σ = 13143035750208. Its totient is φ = 1112527872000.

The previous prime is 4221441023411. The next prime is 4221441023479. The reversal of 4221441023436 is 6343201441224.

4221441023436 is a `hidden beast` number, since 4 + 2 + 2 + 1 + 4 + 410 + 234 + 3 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 4221441023436.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3985236 + ... + 4932036.

Almost surely, 24221441023436 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 4221441023436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6571517875104).

4221441023436 is an abundant number, since it is smaller than the sum of its proper divisors (8921594726772).

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

4221441023436 is a wasteful number, since it uses less digits than its factorization.

4221441023436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 948192 (or 948187 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The spelling of 4221441023436 in words is "four trillion, two hundred twenty-one billion, four hundred forty-one million, twenty-three thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 52 63 78 84 91 117 126 156 182 234 252 273 364 468 546 819 1092 1361 1638 2722 3276 4083 5444 8166 9527 12249 16332 17693 19054 24498 28581 35386 38108 48996 53079 57162 70772 85743 106158 114324 123851 159237 171486 212316 247702 318474 342972 371553 495404 636948 743106 946801 1114659 1486212 1893602 2229318 2840403 3787204 4458636 5680806 6627607 8521209 11361612 12308413 13255214 17042418 19882821 24616826 26510428 34084836 36925239 39765642 49233652 59648463 73850478 79531284 86158891 110775717 119296926 147700956 172317782 221551434 238593852 258476673 344635564 443102868 516953346 775430019 1033906692 1288596161 1550860038 2577192322 3101720076 3865788483 5154384644 7731576966 9020173127 11597365449 15463153932 16751750093 18040346254 23194730898 27060519381 33503500186 36080692508 46389461796 50255250279 54121038762 67007000372 81181558143 100510500558 108242077524 117262250651 150765750837 162363116286 201021001116 234524501302 301531501674 324726232572 351786751953 469049002604 603063003348 703573503906 1055360255859 1407147007812 2110720511718 4221441023436