Search a number
-
+
10140043655200 = 255253239151973
BaseRepresentation
bin1001001110001110100110…
…1100110011100000100000
31022220101020002002001020211
42103203221230303200200
52312113302133431300
633322134410343504
72064410506644244
oct223435154634040
938811202061224
1010140043655200
11325a406324a38
12117926012ab94
13587281a939a4
14270ad0482424
15128b748d94ba
hex938e9b33820

10140043655200 has 72 divisors (see below), whose sum is σ = 25221445481988. Its totient is φ = 3979488814080.

The previous prime is 10140043655197. The next prime is 10140043655207. The reversal of 10140043655200 is 255634004101.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 4929945241104 + 5210098414096 = 2220348^2 + 2282564^2 .

It is not an unprimeable number, because it can be changed into a prime (10140043655207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 119533587 + ... + 119618386.

Almost surely, 210140043655200 is an apocalyptic number.

10140043655200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10140043655200 is an abundant number, since it is smaller than the sum of its proper divisors (15081401826788).

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

10140043655200 is a wasteful number, since it uses less digits than its factorization.

10140043655200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239152046 (or 239152033 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 31.

Adding to 10140043655200 its reverse (255634004101), we get a palindrome (10395677659301).

The spelling of 10140043655200 in words is "ten trillion, one hundred forty billion, forty-three million, six hundred fifty-five thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 53 80 100 106 160 200 212 265 400 424 530 800 848 1060 1325 1696 2120 2650 4240 5300 8480 10600 21200 42400 239151973 478303946 956607892 1195759865 1913215784 2391519730 3826431568 4783039460 5978799325 7652863136 9566078920 11957598650 12675054569 19132157840 23915197300 25350109138 38264315680 47830394600 50700218276 63375272845 95660789200 101400436552 126750545690 191321578400 202800873104 253501091380 316876364225 405601746208 507002182760 633752728450 1014004365520 1267505456900 2028008731040 2535010913800 5070021827600 10140043655200