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240221121140 = 2257211131714151
BaseRepresentation
bin1101111110111001001…
…0110110101001110100
3211222001102102100011202
43133232102312221310
512413433101334030
6302204524152032
723232621560600
oct3375622665164
9758042370152
10240221121140
1192971618890
123a681698618
1319864142540
14b8abbac500
1563ae588745
hex37ee4b6a74

240221121140 has 144 divisors (see below), whose sum is σ = 689418221184. Its totient is φ = 69114528000.

The previous prime is 240221121139. The next prime is 240221121181. The reversal of 240221121140 is 41121122042.

240221121140 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

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 47 ways as a sum of consecutive naturals, for example, 716936 + ... + 997215.

It is an arithmetic number, because the mean of its divisors is an integer number (4787626536).

Almost surely, 2240221121140 is an apocalyptic number.

240221121140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

240221121140 is an abundant number, since it is smaller than the sum of its proper divisors (449197100044).

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

240221121140 is a wasteful number, since it uses less digits than its factorization.

240221121140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1714198 (or 1714189 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 240221121140 its reverse (41121122042), we get a palindrome (281342243182).

The spelling of 240221121140 in words is "two hundred forty billion, two hundred twenty-one million, one hundred twenty-one thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 11 13 14 20 22 26 28 35 44 49 52 55 65 70 77 91 98 110 130 140 143 154 182 196 220 245 260 286 308 364 385 455 490 539 572 637 715 770 910 980 1001 1078 1274 1430 1540 1820 2002 2156 2548 2695 2860 3185 4004 5005 5390 6370 7007 10010 10780 12740 14014 20020 28028 35035 70070 140140 1714151 3428302 6856604 8570755 11999057 17141510 18855661 22283963 23998114 34283020 37711322 44567926 47996228 59995285 75422644 83993399 89135852 94278305 111419815 119990570 131989627 155987741 167986798 188556610 222839630 239981140 245123593 263979254 311975482 335973596 377113220 419966995 445679260 490247186 527958508 623950964 659948135 779938705 839933990 923927389 980494372 1091914187 1225617965 1319896270 1559877410 1679867980 1715865151 1847854778 2183828374 2451235930 2639792540 3119754820 3431730302 3695709556 4367656748 4619636945 4902471860 5459570935 6863460604 8579325755 9239273890 10919141870 12011056057 17158651510 18478547780 21838283740 24022112114 34317303020 48044224228 60055280285 120110560570 240221121140