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1333214040 = 2335195471069
BaseRepresentation
bin100111101110111…
…0011101101011000
310102220200021211210
41033131303231120
510212300322130
6340143223120
745016063254
oct11735635530
93386607753
101333214040
11624623494
123125a7aa0
13183296b62
14c90c9264
157c0a15b0
hex4f773b58

1333214040 has 128 divisors (see below), whose sum is σ = 4221792000. Its totient is φ = 335881728.

The previous prime is 1333214027. The next prime is 1333214041. The reversal of 1333214040 is 404123331.

It is a junction number, because it is equal to n+sod(n) for n = 1333213998 and 1333214016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1333214041) 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 31 ways as a sum of consecutive naturals, for example, 1246626 + ... + 1247694.

It is an arithmetic number, because the mean of its divisors is an integer number (32982750).

Almost surely, 21333214040 is an apocalyptic number.

1333214040 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 1333214040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2110896000).

1333214040 is an abundant number, since it is smaller than the sum of its proper divisors (2888577960).

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

1333214040 is a wasteful number, since it uses less digits than its factorization.

1333214040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1649 (or 1645 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 1333214040 is about 36513.2036392317. The cubic root of 1333214040 is about 1100.6095904936.

Adding to 1333214040 its reverse (404123331), we get a palindrome (1737337371).

It can be divided in two parts, 13332 and 14040, that added together give a palindrome (27372).

The spelling of 1333214040 in words is "one billion, three hundred thirty-three million, two hundred fourteen thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 76 95 114 120 152 190 228 285 380 456 547 570 760 1069 1094 1140 1641 2138 2188 2280 2735 3207 3282 4276 4376 5345 5470 6414 6564 8205 8552 10393 10690 10940 12828 13128 16035 16410 20311 20786 21380 21880 25656 31179 32070 32820 40622 41572 42760 51965 60933 62358 64140 65640 81244 83144 101555 103930 121866 124716 128280 155895 162488 203110 207860 243732 249432 304665 311790 406220 415720 487464 584743 609330 623580 812440 1169486 1218660 1247160 1754229 2338972 2437320 2923715 3508458 4677944 5847430 7016916 8771145 11110117 11694860 14033832 17542290 22220234 23389720 33330351 35084580 44440468 55550585 66660702 70169160 88880936 111101170 133321404 166651755 222202340 266642808 333303510 444404680 666607020 1333214040