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4144010320044 = 22327791951106693
BaseRepresentation
bin111100010011011010010…
…000110101100010101100
3112200011102012111221120100
4330103122100311202230
51020343413120220134
612451422042551100
7605252303350440
oct74233220654254
915604365457510
104144010320044
1113585128785a1
1256b178808490
13240a1748356a
141047dd40a820
1572bddcde999
hex3c4da4358ac

4144010320044 has 144 divisors (see below), whose sum is σ = 12129451909120. Its totient is φ = 1168405430400.

The previous prime is 4144010320019. The next prime is 4144010320063. The reversal of 4144010320044 is 4400230104414.

4144010320044 is a `hidden beast` number, since 4 + 1 + 440 + 10 + 3 + 200 + 4 + 4 = 666.

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, 38787162 + ... + 38893854.

Almost surely, 24144010320044 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 4144010320044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6064725954560).

4144010320044 is an abundant number, since it is smaller than the sum of its proper divisors (7985441589076).

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

4144010320044 is a wasteful number, since it uses less digits than its factorization.

4144010320044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108740 (or 108735 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 4144010320044 its reverse (4400230104414), we get a palindrome (8544240424458).

The spelling of 4144010320044 in words is "four trillion, one hundred forty-four billion, ten million, three hundred twenty thousand, forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 79 84 126 158 237 252 316 474 553 711 948 1106 1422 1659 1951 2212 2844 3318 3902 4977 5853 6636 7804 9954 11706 13657 17559 19908 23412 27314 35118 40971 54628 70236 81942 106693 122913 154129 163884 213386 245826 308258 320079 426772 462387 491652 616516 640158 746851 924774 960237 1078903 1280316 1387161 1493702 1849548 1920474 2157806 2240553 2774322 2987404 3236709 3840948 4315612 4481106 5548644 6473418 6721659 8428747 8962212 9710127 12946836 13443318 16857494 19420254 25286241 26886636 33714988 38840508 50572482 59001229 75858723 101144964 118002458 151717446 177003687 208158043 236004916 303434892 354007374 416316086 531011061 624474129 708014748 832632172 1062022122 1248948258 1457106301 1873422387 2124044244 2497896516 2914212602 3746844774 4371318903 5828425204 7493689548 8742637806 13113956709 16444485397 17485275612 26227913418 32888970794 49333456191 52455826836 65777941588 98666912382 115111397779 148000368573 197333824764 230222795558 296000737146 345334193337 460445591116 592001474292 690668386674 1036002580011 1381336773348 2072005160022 4144010320044