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3133335040 = 29511111269
BaseRepresentation
bin1011101011000010…
…1110011000000000
322002100220220121221
42322300232120000
522404113210130
61234530124424
7140434623403
oct27260563000
98070826557
103133335040
11136875aaa0
12735420714
133ac1ca004
1421a1d3d3a
1513513087a
hexbac2e600

3133335040 has 80 divisors (see below), whose sum is σ = 8195703120. Its totient is φ = 1139384320.

The previous prime is 3133335017. The next prime is 3133335043. The reversal of 3133335040 is 405333313.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 3133334996 and 3133335014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3133335043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27475 + ... + 83794.

It is an arithmetic number, because the mean of its divisors is an integer number (102446289).

Almost surely, 23133335040 is an apocalyptic number.

It is an amenable number.

3133335040 is an abundant number, since it is smaller than the sum of its proper divisors (5062368080).

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

3133335040 is a wasteful number, since it uses less digits than its factorization.

3133335040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111303 (or 111287 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 25.

The square root of 3133335040 is about 55976.2006570650. The cubic root of 3133335040 is about 1463.3075447649.

Adding to 3133335040 its reverse (405333313), we get a palindrome (3538668353).

The spelling of 3133335040 in words is "three billion, one hundred thirty-three million, three hundred thirty-five thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 256 320 352 440 512 640 704 880 1280 1408 1760 2560 2816 3520 5632 7040 14080 28160 111269 222538 445076 556345 890152 1112690 1223959 1780304 2225380 2447918 3560608 4450760 4895836 6119795 7121216 8901520 9791672 12239590 14242432 17803040 19583344 24479180 28484864 35606080 39166688 48958360 56969728 71212160 78333376 97916720 142424320 156666752 195833440 284848640 313333504 391666880 626667008 783333760 1566667520 3133335040