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3135301140 = 2235436531861
BaseRepresentation
bin1011101011100000…
…1110011000010100
322002111121210121110
42322320032120110
522410114114030
61235040215020
7140460422436
oct27270163024
98074553543
103135301140
111369883174
1273600a470
133ac737b9a
1421a586656
151353bd1b0
hexbae0e614

3135301140 has 96 divisors (see below), whose sum is σ = 9001593216. Its totient is φ = 814947840.

The previous prime is 3135301139. The next prime is 3135301159. The reversal of 3135301140 is 411035313.

It is a super-2 number, since 2×31353011402 = 19660226476970599200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1683810 + ... + 1685670.

It is an arithmetic number, because the mean of its divisors is an integer number (93766596).

Almost surely, 23135301140 is an apocalyptic number.

3135301140 is a gapful number since it is divisible by the number (30) 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 3135301140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4500796608).

3135301140 is an abundant number, since it is smaller than the sum of its proper divisors (5866292076).

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

3135301140 is a wasteful number, since it uses less digits than its factorization.

3135301140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2569 (or 2567 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 3135301140 is about 55993.7598308954. The cubic root of 3135301140 is about 1463.6135453876.

Adding to 3135301140 its reverse (411035313), we get a palindrome (3546336453).

The spelling of 3135301140 in words is "three billion, one hundred thirty-five million, three hundred one thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 43 60 86 129 172 215 258 430 516 645 653 860 1290 1306 1861 1959 2580 2612 3265 3722 3918 5583 6530 7444 7836 9305 9795 11166 13060 18610 19590 22332 27915 28079 37220 39180 55830 56158 80023 84237 111660 112316 140395 160046 168474 240069 280790 320092 336948 400115 421185 480138 561580 800230 842370 960276 1200345 1215233 1600460 1684740 2400690 2430466 3645699 4801380 4860932 6076165 7291398 12152330 14582796 18228495 24304660 36456990 52255019 72913980 104510038 156765057 209020076 261275095 313530114 522550190 627060228 783825285 1045100380 1567650570 3135301140