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144044042024412 = 2232233745710288381
BaseRepresentation
bin100000110000000111011101…
…111101001111010111011100
3200220000110211221202220010200
4200300013131331033113130
5122340004144224240122
61230204530330303500
742224560433235555
oct4060073575172734
9626013757686120
10144044042024412
114199580a5586a2
12141a484a287b90
13624b3aab051ba
14277daa996b32c
15119bdb1c555ac
hex8301ddf4f5dc

144044042024412 has 144 divisors (see below), whose sum is σ = 391064856716352. Its totient is φ = 44588028165120.

The previous prime is 144044042024383. The next prime is 144044042024479. The reversal of 144044042024412 is 214420240440441.

144044042024412 is a `hidden beast` number, since 1 + 4 + 4 + 0 + 4 + 4 + 0 + 4 + 202 + 441 + 2 = 666.

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

It is a congruent number.

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, 8856462 + ... + 19144842.

Almost surely, 2144044042024412 is an apocalyptic number.

144044042024412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144044042024412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195532428358176).

144044042024412 is an abundant number, since it is smaller than the sum of its proper divisors (247020814691940).

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

144044042024412 is a wasteful number, since it uses less digits than its factorization.

144044042024412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10288908 (or 10288903 counting only the distinct ones).

The product of its (nonzero) digits is 131072, while the sum is 36.

Adding to 144044042024412 its reverse (214420240440441), we get a palindrome (358464282464853).

The spelling of 144044042024412 in words is "one hundred forty-four trillion, forty-four billion, forty-two million, twenty-four thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 23 36 37 46 69 74 92 111 138 148 207 222 276 333 414 444 457 666 828 851 914 1332 1371 1702 1828 2553 2742 3404 4113 5106 5484 7659 8226 10212 10511 15318 16452 16909 21022 30636 31533 33818 42044 50727 63066 67636 94599 101454 126132 152181 189198 202908 304362 378396 388907 608724 777814 1166721 1555628 2333442 3500163 4666884 7000326 10288381 14000652 20576762 30865143 41153524 61730286 92595429 123460572 185190858 236632763 370381716 380670097 473265526 709898289 761340194 946531052 1142010291 1419796578 1522680388 2129694867 2284020582 2839593156 3426030873 4259389734 4568041164 4701790117 6852061746 8518779468 8755412231 9403580234 13704123492 14105370351 17510824462 18807160468 26266236693 28210740702 35021648924 42316111053 52532473386 56421481404 78798710079 84632222106 105064946772 108141172691 157597420158 169264444212 173966234329 216282345382 315194840316 324423518073 347932468658 432564690764 521898702987 648847036146 695864937316 973270554219 1043797405974 1297694072292 1565696108961 1946541108438 2087594811948 3131392217922 3893082216876 4001223389567 6262784435844 8002446779134 12003670168701 16004893558268 24007340337402 36011010506103 48014680674804 72022021012206 144044042024412