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144344214231140 = 225711237230294863
BaseRepresentation
bin100000110100011111000001…
…100111010101100001100100
3200221002011122110201221002202
4200310133001213111201210
5122404413422320344030
61230554452214354032
742255345122010530
oct4064370147254144
9627064573657082
10144344214231140
1141aa1045984400
1214232a6135b918
1362707a7509681
1427904238d8bc0
1511a4ace5cd745
hex8347c19d5864

144344214231140 has 144 divisors (see below), whose sum is σ = 391073841532416. Its totient is φ = 43774447368960.

The previous prime is 144344214231089. The next prime is 144344214231149. The reversal of 144344214231140 is 41132412443441.

It is a junction number, because it is equal to n+sod(n) for n = 144344214231094 and 144344214231103.

It is not an unprimeable number, because it can be changed into a prime (144344214231149) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 114520652 + ... + 115774211.

Almost surely, 2144344214231140 is an apocalyptic number.

144344214231140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144344214231140 is an abundant number, since it is smaller than the sum of its proper divisors (246729627301276).

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

144344214231140 is a wasteful number, since it uses less digits than its factorization.

144344214231140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230294938 (or 230294925 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 38.

Adding to 144344214231140 its reverse (41132412443441), we get a palindrome (185476626674581).

The spelling of 144344214231140 in words is "one hundred forty-four trillion, three hundred forty-four billion, two hundred fourteen million, two hundred thirty-one thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 37 44 55 70 74 77 110 121 140 148 154 185 220 242 259 308 370 385 407 484 518 605 740 770 814 847 1036 1210 1295 1540 1628 1694 2035 2420 2590 2849 3388 4070 4235 4477 5180 5698 8140 8470 8954 11396 14245 16940 17908 22385 28490 31339 44770 56980 62678 89540 125356 156695 313390 626780 230294863 460589726 921179452 1151474315 1612064041 2302948630 2533243493 3224128082 4605897260 5066486986 6448256164 8060320205 8520909931 10132973972 12666217465 16120640410 17041819862 17732704451 25332434930 27865678423 32241280820 34083639724 35465408902 42604549655 50664869860 55731356846 59646369517 70930817804 85209099310 88663522255 93730009241 111462713692 119292739034 139328392115 170418198620 177327044510 187460018482 195059748961 238585478068 278656784230 298231847585 354654089020 374920036964 390119497922 468650046205 557313568460 596463695170 656110064687 780238995844 937300092410 975298744805 1031030101651 1192927390340 1312220129374 1874600184820 1950597489610 2062060203302 2624440258748 3280550323435 3901194979220 4124120406604 5155150508255 6561100646870 7217210711557 10310301016510 13122201293740 14434421423114 20620602033020 28868842846228 36086053557785 72172107115570 144344214231140