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144214860126480 = 243511134202064689
BaseRepresentation
bin100000110010100110100011…
…100000100101100100010000
3200220121210202120011120022120
4200302212203200211210100
5122400304013143021410
61230415220411134240
742243115450163133
oct4062464340454420
9626553676146276
10144214860126480
1141a511a695aa80
1214211980a44380
1362615313ac740
14278807212221a
1511a155d301570
hex8329a3825910

144214860126480 has 160 divisors (see below), whose sum is σ = 525224469732480. Its totient is φ = 32271856803840.

The previous prime is 144214860126427. The next prime is 144214860126487. The reversal of 144214860126480 is 84621068412441.

It is not an unprimeable number, because it can be changed into a prime (144214860126487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2100998025 + ... + 2101066664.

It is an arithmetic number, because the mean of its divisors is an integer number (3282652935828).

Almost surely, 2144214860126480 is an apocalyptic number.

144214860126480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144214860126480 is an abundant number, since it is smaller than the sum of its proper divisors (381009609606000).

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

144214860126480 is a wasteful number, since it uses less digits than its factorization.

144214860126480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4202064729 (or 4202064723 counting only the distinct ones).

The product of its (nonzero) digits is 2359296, while the sum is 51.

The spelling of 144214860126480 in words is "one hundred forty-four trillion, two hundred fourteen billion, eight hundred sixty million, one hundred twenty-six thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 13 15 16 20 22 24 26 30 33 39 40 44 48 52 55 60 65 66 78 80 88 104 110 120 130 132 143 156 165 176 195 208 220 240 260 264 286 312 330 390 429 440 520 528 572 624 660 715 780 858 880 1040 1144 1320 1430 1560 1716 2145 2288 2640 2860 3120 3432 4290 5720 6864 8580 11440 17160 34320 4202064689 8404129378 12606194067 16808258756 21010323445 25212388134 33616517512 42020646890 46222711579 50424776268 54626840957 63030970335 67233035024 84041293780 92445423158 100849552536 109253681914 126061940670 138668134737 163880522871 168082587560 184890846316 201699105072 218507363828 231113557895 252123881340 273134204785 277336269474 327761045742 336165175120 369781692632 437014727656 462227115790 504247762680 546268409570 554672538948 600895250527 655522091484 693340673685 739563385264 819402614355 874029455312 924454231580 1008495525360 1092536819140 1109345077896 1201790501054 1311044182968 1386681347370 1638805228710 1802685751581 1848908463160 2185073638280 2218690155792 2403581002108 2622088365936 2773362694740 3004476252635 3277610457420 3605371503162 3697816926320 4370147276560 4807162004216 5546725389480 6008952505270 6555220914840 7210743006324 9013428757905 9614324008432 11093450778960 12017905010540 13110441829680 14421486012648 18026857515810 24035810021080 28842972025296 36053715031620 48071620042160 72107430063240 144214860126480