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133440314000 = 2453719748383
BaseRepresentation
bin111110001000110101…
…0011001101010010000
3110202102200111022012212
41330101222121222100
54141241210022000
6141145053011252
712432526645220
oct1742152315220
9422380438185
10133440314000
115165663aa44
1221a40a83b28
13c7778740a6
14665c36c080
15370edd0c35
hex1f11a99a90

133440314000 has 160 divisors (see below), whose sum is σ = 370632278016. Its totient is φ = 45517785600.

The previous prime is 133440313997. The next prime is 133440314027. The reversal of 133440314000 is 413044331.

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 31 ways as a sum of consecutive naturals, for example, 2733809 + ... + 2782191.

Almost surely, 2133440314000 is an apocalyptic number.

133440314000 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 133440314000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185316139008).

133440314000 is an abundant number, since it is smaller than the sum of its proper divisors (237191964016).

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

133440314000 is a wasteful number, since it uses less digits than its factorization.

133440314000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48610 (or 48594 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 133440314000 its reverse (413044331), we get a palindrome (133853358331).

The spelling of 133440314000 in words is "one hundred thirty-three billion, four hundred forty million, three hundred fourteen thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 125 140 175 197 200 250 280 350 394 400 500 560 700 788 875 985 1000 1379 1400 1576 1750 1970 2000 2758 2800 3152 3500 3940 4925 5516 6895 7000 7880 9850 11032 13790 14000 15760 19700 22064 24625 27580 34475 39400 48383 49250 55160 68950 78800 96766 98500 110320 137900 172375 193532 197000 241915 275800 338681 344750 387064 394000 483830 551600 677362 689500 774128 967660 1209575 1354724 1379000 1693405 1935320 2419150 2709448 2758000 3386810 3870640 4838300 5418896 6047875 6773620 8467025 9531451 9676600 12095750 13547240 16934050 19062902 19353200 24191500 27094480 33868100 38125804 42335125 47657255 48383000 66720157 67736200 76251608 84670250 95314510 96766000 133440314 135472400 152503216 169340500 190629020 238286275 266880628 333600785 338681000 381258040 476572550 533761256 667201570 677362000 762516080 953145100 1067522512 1191431375 1334403140 1668003925 1906290200 2382862750 2668806280 3336007850 3812580400 4765725500 5337612560 6672015700 8340019625 9531451000 13344031400 16680039250 19062902000 26688062800 33360078500 66720157000 133440314000