Search a number
-
+
1242345563136 = 21032413287881
BaseRepresentation
bin10010000101000001100…
…100001110010000000000
311101202201012100121012200
4102011001210032100000
5130323310431010021
62350420424553200
7155520324023226
oct22050144162000
94352635317180
101242345563136
1143996a756467
12180937022800
13901ca5a6142
14441b6424b16
15224b2594126
hex1214190e400

1242345563136 has 132 divisors (see below), whose sum is σ = 3674740771884. Its totient is φ = 404014694400.

The previous prime is 1242345563131. The next prime is 1242345563189. The reversal of 1242345563136 is 6313655432421.

1242345563136 is a `hidden beast` number, since 1 + 2 + 4 + 2 + 3 + 4 + 5 + 5 + 631 + 3 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 234008257536 + 1008337305600 = 483744^2 + 1004160^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1242345563091 and 1242345563100.

It is not an unprimeable number, because it can be changed into a prime (1242345563131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1266085 + ... + 2021796.

Almost surely, 21242345563136 is an apocalyptic number.

1242345563136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1242345563136 is an abundant number, since it is smaller than the sum of its proper divisors (2432395208748).

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

1242345563136 is a wasteful number, since it uses less digits than its factorization.

1242345563136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3287948 (or 3287927 counting only the distinct ones).

The product of its digits is 1555200, while the sum is 45.

The spelling of 1242345563136 in words is "one trillion, two hundred forty-two billion, three hundred forty-five million, five hundred sixty-three thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 41 48 64 72 82 96 123 128 144 164 192 246 256 288 328 369 384 492 512 576 656 738 768 984 1024 1152 1312 1476 1536 1968 2304 2624 2952 3072 3936 4608 5248 5904 7872 9216 10496 11808 15744 20992 23616 31488 41984 47232 62976 94464 125952 188928 377856 3287881 6575762 9863643 13151524 19727286 26303048 29590929 39454572 52606096 59181858 78909144 105212192 118363716 134803121 157818288 210424384 236727432 269606242 315636576 404409363 420848768 473454864 539212484 631273152 808818726 841697536 946909728 1078424968 1213228089 1262546304 1617637452 1683395072 1893819456 2156849936 2426456178 2525092608 3235274904 3366790144 3787638912 4313699872 4852912356 5050185216 6470549808 7575277824 8627399744 9705824712 10100370432 12941099616 15150555648 17254799488 19411649424 25882199232 30301111296 34509598976 38823298848 51764398464 69019197952 77646597696 103528796928 138038395904 155293195392 207057593856 310586390784 414115187712 621172781568 1242345563136