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4130023140 = 223557111969
BaseRepresentation
bin1111011000101011…
…0010011011100100
3101122211100220200000
43312022302123210
531424241220030
61521452421300
7204226421535
oct36612623344
911584326600
104130023140
11182a321571
12973177830
1350a847899
142b271c68c
151928aa860
hexf62b26e4

4130023140 has 144 divisors (see below), whose sum is σ = 13175809920. Its totient is φ = 1085736960.

The previous prime is 4130023133. The next prime is 4130023147. The reversal of 4130023140 is 413200314.

It is an interprime number because it is at equal distance from previous prime (4130023133) and next prime (4130023147).

It is a super-2 number, since 2×41300231402 = 34114182273870919200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (4130023147) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 339076 + ... + 351044.

It is an arithmetic number, because the mean of its divisors is an integer number (91498680).

Almost surely, 24130023140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4130023140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6587904960).

4130023140 is an abundant number, since it is smaller than the sum of its proper divisors (9045786780).

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

4130023140 is a wasteful number, since it uses less digits than its factorization.

4130023140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12064 (or 12050 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 4130023140 is about 64265.2560875626. The cubic root of 4130023140 is about 1604.4178865507.

Adding to 4130023140 its reverse (413200314), we get a palindrome (4543223454).

The spelling of 4130023140 in words is "four billion, one hundred thirty million, twenty-three thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 71 81 90 108 135 142 162 180 213 243 270 284 324 355 405 426 486 540 639 710 810 852 972 1065 1215 1278 1420 1620 1917 2130 2430 2556 3195 3834 4260 4860 5751 6390 7668 9585 11502 11969 12780 17253 19170 23004 23938 28755 34506 35907 38340 47876 57510 59845 69012 71814 86265 107721 115020 119690 143628 172530 179535 215442 239380 323163 345060 359070 430884 538605 646326 718140 849799 969489 1077210 1292652 1615815 1699598 1938978 2154420 2549397 2908467 3231630 3399196 3877956 4248995 4847445 5098794 5816934 6463260 7648191 8497990 9694890 10197588 11633868 12746985 14542335 15296382 16995980 19389780 22944573 25493970 29084670 30592764 38240955 45889146 50987940 58169340 68833719 76481910 91778292 114722865 137667438 152963820 206501157 229445730 275334876 344168595 413002314 458891460 688337190 826004628 1032505785 1376674380 2065011570 4130023140