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1450456068240 = 24345223835813
BaseRepresentation
bin10101000110110101111…
…010110011000010010000
312010122212202222122010000
4111012311322303002100
5142231013223140430
63030155203210000
7206535440104554
oct25066572630220
95118782878100
101450456068240
1150a153701143
121b5136976900
13a6a14cb965a
14502b9737864
1527ae2a90e60
hex151b5eb3090

1450456068240 has 100 divisors (see below), whose sum is σ = 5037648829884. Its totient is φ = 386788283136.

The previous prime is 1450456068233. The next prime is 1450456068241. The reversal of 1450456068240 is 428606540541.

It is a happy number.

1450456068240 is a `hidden beast` number, since 1 + 4 + 5 + 0 + 4 + 560 + 6 + 82 + 4 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 841138442496 + 609317625744 = 917136^2 + 780588^2 .

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (1450456068241) 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 19 ways as a sum of consecutive naturals, for example, 111911427 + ... + 111924386.

Almost surely, 21450456068240 is an apocalyptic number.

1450456068240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1450456068240 is an abundant number, since it is smaller than the sum of its proper divisors (3587192761644).

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

1450456068240 is a wasteful number, since it uses less digits than its factorization.

1450456068240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223835838 (or 223835823 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The spelling of 1450456068240 in words is "one trillion, four hundred fifty billion, four hundred fifty-six million, sixty-eight thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 81 90 108 120 135 144 162 180 216 240 270 324 360 405 432 540 648 720 810 1080 1296 1620 2160 3240 6480 223835813 447671626 671507439 895343252 1119179065 1343014878 1790686504 2014522317 2238358130 2686029756 3357537195 3581373008 4029044634 4476716260 5372059512 6043566951 6715074390 8058089268 8953432520 10072611585 10744119024 12087133902 13430148780 16116178536 17906865040 18130700853 20145223170 24174267804 26860297560 30217834755 32232357072 36261401706 40290446340 48348535608 53720595120 60435669510 72522803412 80580892680 90653504265 96697071216 120871339020 145045606824 161161785360 181307008530 241742678040 290091213648 362614017060 483485356080 725228034120 1450456068240