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14223424220240 = 2457910722819221
BaseRepresentation
bin1100111011111010011000…
…1001011110110001010000
31212100202010220000022121112
43032332212021132301100
53331014033100021430
650130052331312452
72665415466032624
oct316764611366120
955322126008545
1014223424220240
114594136194194
121718717bab728
137c23561a3b71
143725bb509184
15199eb5a2c195
hexcefa625ec50

14223424220240 has 160 divisors (see below), whose sum is σ = 33819520412160. Its totient is φ = 5561810841600.

The previous prime is 14223424220191. The next prime is 14223424220281. The reversal of 14223424220240 is 4202242432241.

It is a junction number, because it is equal to n+sod(n) for n = 14223424220197 and 14223424220206.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1542498830 + ... + 1542508050.

It is an arithmetic number, because the mean of its divisors is an integer number (211372002576).

Almost surely, 214223424220240 is an apocalyptic number.

14223424220240 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 14223424220240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16909760206080).

14223424220240 is an abundant number, since it is smaller than the sum of its proper divisors (19596096191920).

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

14223424220240 is a wasteful number, since it uses less digits than its factorization.

14223424220240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11701 (or 11695 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 32.

Adding to 14223424220240 its reverse (4202242432241), we get a palindrome (18425666652481).

The spelling of 14223424220240 in words is "fourteen trillion, two hundred twenty-three billion, four hundred twenty-four million, two hundred twenty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 79 80 107 158 214 316 395 428 535 632 790 856 1070 1264 1580 1712 2140 2281 3160 4280 4562 6320 8453 8560 9124 9221 11405 16906 18248 18442 22810 33812 36496 36884 42265 45620 46105 67624 73768 84530 91240 92210 135248 147536 169060 180199 182480 184420 244067 338120 360398 368840 488134 676240 720796 728459 737680 900995 976268 986647 1220335 1441592 1456918 1801990 1952536 1973294 2440670 2883184 2913836 3603980 3642295 3905072 3946588 4881340 4933235 5827672 7207960 7284590 7893176 9762680 9866470 11655344 14415920 14569180 15786352 19281293 19525360 19732940 21033101 29138360 38562586 39465880 42066202 58276720 77125172 77945113 78931760 84132404 96406465 105165505 154250344 155890226 168264808 192812930 210331010 308500688 311780452 336529616 385625860 389725565 420662020 623560904 771251720 779451130 841324040 1247121808 1542503440 1558902260 1661614979 1682648080 2250541807 3117804520 3323229958 4501083614 6235609040 6646459916 8308074895 9002167228 11252709035 13292919832 16616149790 18004334456 22505418070 26585839664 33232299580 36008668912 45010836140 66464599160 90021672280 132929198320 177792802753 180043344560 355585605506 711171211012 888964013765 1422342422024 1777928027530 2844684844048 3555856055060 7111712110120 14223424220240