Search a number
-
+
120144311140 = 22571723195789
BaseRepresentation
bin110111111100100101…
…0001011001101100100
3102111010001201101011111
41233321022023031210
53432023420424030
6131105445314404
711452200536410
oct1577112131544
9374101641144
10120144311140
1146a53371227
121b350105a04
13b439073a89
145b5a58dd40
1531d29ae62a
hex1bf928b364

120144311140 has 144 divisors (see below), whose sum is σ = 316189762560. Its totient is φ = 37518243840.

The previous prime is 120144311117. The next prime is 120144311167. The reversal of 120144311140 is 41113441021.

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, 1206366 + ... + 1302154.

It is an arithmetic number, because the mean of its divisors is an integer number (2195762240).

Almost surely, 2120144311140 is an apocalyptic number.

120144311140 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 120144311140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158094881280).

120144311140 is an abundant number, since it is smaller than the sum of its proper divisors (196045451420).

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

120144311140 is a wasteful number, since it uses less digits than its factorization.

120144311140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95870 (or 95851 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

Adding to 120144311140 its reverse (41113441021), we get a palindrome (161257752161).

The spelling of 120144311140 in words is "one hundred twenty billion, one hundred forty-four million, three hundred eleven thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 17 20 28 31 34 35 62 68 70 85 119 124 140 155 170 217 238 289 310 340 434 476 527 578 595 620 868 1054 1085 1156 1190 1445 2023 2108 2170 2380 2635 2890 3689 4046 4340 5270 5780 7378 8092 8959 10115 10540 14756 17918 18445 20230 35836 36890 40460 44795 62713 73780 89590 95789 125426 179180 191578 250852 313565 383156 478945 627130 670523 957890 1254260 1341046 1628413 1915780 2682092 2969459 3256826 3352615 5938918 6513652 6705230 8142065 11398891 11877836 13410460 14847295 16284130 20786213 22797782 27683021 29694590 32568260 41572426 45595564 50480803 55366042 56994455 59389180 83144852 100961606 103931065 110732084 113988910 138415105 193781147 201923212 207862130 227977820 252404015 276830210 353365621 387562294 415724260 504808030 553660420 706731242 775124588 858173651 968905735 1009616060 1413462484 1716347302 1766828105 1937811470 3432694604 3533656210 3875622940 4290868255 6007215557 7067312420 8581736510 12014431114 17163473020 24028862228 30036077785 60072155570 120144311140