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144553244343040 = 2851366113142351
BaseRepresentation
bin100000110111100001101100…
…110001111011101100000000
3200221211011012010202211101001
4200313201230301323230000
5122421330021022434130
61231234502123221344
742306425102441431
oct4067415461735400
9627734163684331
10144553244343040
1142071760a332a5
1214267479077854
13628740a5bca10
14279a5b2dcd488
1511aa2656cb6ca
hex83786cc7bb00

144553244343040 has 144 divisors (see below), whose sum is σ = 373448974018176. Its totient is φ = 53292754944000.

The previous prime is 144553244343031. The next prime is 144553244343103. The reversal of 144553244343040 is 40343442355441.

It is a super-2 number, since 2×1445532443430402 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4427865 + ... + 17570215.

It is an arithmetic number, because the mean of its divisors is an integer number (2593395652904).

Almost surely, 2144553244343040 is an apocalyptic number.

144553244343040 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 144553244343040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186724487009088).

144553244343040 is an abundant number, since it is smaller than the sum of its proper divisors (228895729675136).

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

144553244343040 is a wasteful number, since it uses less digits than its factorization.

144553244343040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13143046 (or 13143032 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 46.

Adding to 144553244343040 its reverse (40343442355441), we get a palindrome (184896686698481).

The spelling of 144553244343040 in words is "one hundred forty-four trillion, five hundred fifty-three billion, two hundred forty-four million, three hundred forty-three thousand, forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 128 130 160 208 256 260 320 416 520 640 661 832 1040 1280 1322 1664 2080 2644 3305 3328 4160 5288 6610 8320 8593 10576 13220 16640 17186 21152 26440 34372 42304 42965 52880 68744 84608 85930 105760 137488 169216 171860 211520 274976 343720 423040 549952 687440 846080 1099904 1374880 2199808 2749760 5499520 10999040 13142351 26284702 52569404 65711755 105138808 131423510 170850563 210277616 262847020 341701126 420555232 525694040 683402252 841110464 854252815 1051388080 1366804504 1682220928 1708505630 2102776160 2733609008 3364441856 3417011260 4205552320 5467218016 6834022520 8411104640 8687094011 10934436032 13668045040 16822209280 17374188022 21868872064 27336090080 34748376044 43435470055 43737744128 54672180160 69496752088 86870940110 109344360320 112932222143 138993504176 173741880220 218688720640 225864444286 277987008352 347483760440 451728888572 555974016704 564661110715 694967520880 903457777144 1111948033408 1129322221430 1389935041760 1806915554288 2223896066816 2258644442860 2779870083520 3613831108576 4517288885720 5559740167040 7227662217152 9034577771440 11119480334080 14455324434304 18069155542880 28910648868608 36138311085760 72276622171520 144553244343040