Search a number
-
+
140314441440 = 25351072731979
BaseRepresentation
bin1000001010101101100…
…1000111011011100000
3111102011202101011022110
42002223121013123200
54244330444111230
6144243133235320
713065060034125
oct2025331073340
9442152334273
10140314441440
11545639316a8
122323b032b40
1310301a78114
146b112c074c
1539b36344b0
hex20ab6476e0

140314441440 has 96 divisors (see below), whose sum is σ = 446121406080. Its totient is φ = 37067477504.

The previous prime is 140314441439. The next prime is 140314441451. The reversal of 140314441440 is 44144413041.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 140314441398 and 140314441407.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1314630 + ... + 1417349.

It is an arithmetic number, because the mean of its divisors is an integer number (4647097980).

Almost surely, 2140314441440 is an apocalyptic number.

140314441440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

140314441440 is an abundant number, since it is smaller than the sum of its proper divisors (305806964640).

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

140314441440 is a wasteful number, since it uses less digits than its factorization.

140314441440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2732104 (or 2732096 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 140314441440 its reverse (44144413041), we get a palindrome (184458854481).

The spelling of 140314441440 in words is "one hundred forty billion, three hundred fourteen million, four hundred forty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 107 120 160 214 240 321 428 480 535 642 856 1070 1284 1605 1712 2140 2568 3210 3424 4280 5136 6420 8560 10272 12840 17120 25680 51360 2731979 5463958 8195937 10927916 13659895 16391874 21855832 27319790 32783748 40979685 43711664 54639580 65567496 81959370 87423328 109279160 131134992 163918740 218558320 262269984 292321753 327837480 437116640 584643506 655674960 876965259 1169287012 1311349920 1461608765 1753930518 2338574024 2923217530 3507861036 4384826295 4677148048 5846435060 7015722072 8769652590 9354296096 11692870120 14031444144 17539305180 23385740240 28062888288 35078610360 46771480480 70157220720 140314441440