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144321321244140 = 223259742457194687
BaseRepresentation
bin100000110100001001101101…
…000101100001010111101100
3200220222222120000112200202100
4200310021231011201113230
5122404030031214303030
61230540144422255100
742253604610562305
oct4064115505412754
9626888500480670
10144321321244140
1141a92368436437
121422a532587490
13626b599678111
14278d2913057ac
1511a41de8ab360
hex83426d1615ec

144321321244140 has 144 divisors (see below), whose sum is σ = 442300504568832. Its totient is φ = 38087833264128.

The previous prime is 144321321244007. The next prime is 144321321244151. The reversal of 144321321244140 is 41442123123441.

144321321244140 is a `hidden beast` number, since 1 + 4 + 4 + 3 + 21 + 3 + 212 + 4 + 414 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 144321321244095 and 144321321244104.

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, 741201877 + ... + 741396563.

It is an arithmetic number, because the mean of its divisors is an integer number (3071531281728).

Almost surely, 2144321321244140 is an apocalyptic number.

144321321244140 is a gapful number since it is divisible by the number (10) 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 144321321244140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221150252284416).

144321321244140 is an abundant number, since it is smaller than the sum of its proper divisors (297979183324692).

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

144321321244140 is a wasteful number, since it uses less digits than its factorization.

144321321244140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237256 (or 237251 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

Adding to 144321321244140 its reverse (41442123123441), we get a palindrome (185763444367581).

The spelling of 144321321244140 in words is "one hundred forty-four trillion, three hundred twenty-one billion, three hundred twenty-one million, two hundred forty-four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 97 180 194 291 388 485 582 873 970 1164 1455 1746 1940 2910 3492 4365 5820 8730 17460 42457 84914 127371 169828 194687 212285 254742 382113 389374 424570 509484 584061 636855 764226 778748 849140 973435 1168122 1273710 1528452 1752183 1910565 1946870 2336244 2547420 2920305 3504366 3821130 3893740 4118329 5840610 7008732 7642260 8236658 8760915 11681220 12354987 16473316 17521830 18884639 20591645 24709974 35043660 37064961 37769278 41183290 49419948 56653917 61774935 74129922 75538556 82366580 94423195 113307834 123549870 148259844 169961751 185324805 188846390 226615668 247099740 283269585 339923502 370649610 377692780 566539170 679847004 741299220 849808755 1133078340 1699617510 3399235020 8265825959 16531651918 24797477877 33063303836 41329129795 49594955754 74392433631 82658259590 99189911508 123987389385 148784867262 165316519180 247974778770 297569734524 371962168155 495949557540 743924336310 801785118023 1487848672620 1603570236046 2405355354069 3207140472092 4008925590115 4810710708138 7216066062207 8017851180230 9621421416276 12026776770345 14432132124414 16035702360460 24053553540690 28864264248828 36080330311035 48107107081380 72160660622070 144321321244140