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2443130140 = 2251141436299
BaseRepresentation
bin1001000110011111…
…0011010100011100
320022021011212111111
42101213303110130
520000420131030
61042232431404
7114354156253
oct22147632434
96267155444
102443130140
1110440a0920
12582248564
132cc20a149
1419268979a
15e474562a
hex919f351c

2443130140 has 96 divisors (see below), whose sum is σ = 5867769600. Its totient is φ = 846451200.

The previous prime is 2443130117. The next prime is 2443130153. The reversal of 2443130140 is 410313442.

2443130140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (22).

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, 384711 + ... + 391009.

It is an arithmetic number, because the mean of its divisors is an integer number (61122600).

Almost surely, 22443130140 is an apocalyptic number.

2443130140 is a gapful number since it is divisible by the number (20) 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 2443130140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2933884800).

2443130140 is an abundant number, since it is smaller than the sum of its proper divisors (3424639460).

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

2443130140 is a wasteful number, since it uses less digits than its factorization.

2443130140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6403 (or 6401 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 2443130140 is about 49428.0299020707. The cubic root of 2443130140 is about 1346.8385354225.

Adding to 2443130140 its reverse (410313442), we get a palindrome (2853443582).

The spelling of 2443130140 in words is "two billion, four hundred forty-three million, one hundred thirty thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 20 22 41 43 44 55 82 86 110 164 172 205 215 220 410 430 451 473 820 860 902 946 1763 1804 1892 2255 2365 3526 4510 4730 6299 7052 8815 9020 9460 12598 17630 19393 25196 31495 35260 38786 62990 69289 77572 96965 125980 138578 193930 258259 270857 277156 346445 387860 516518 541714 692890 1033036 1083428 1291295 1354285 1385780 2582590 2708570 2840849 2979427 5165180 5417140 5681698 5958854 11105137 11363396 11917708 14204245 14897135 22210274 28408490 29794270 44420548 55525685 56816980 59588540 111051370 122156507 222102740 244313014 488626028 610782535 1221565070 2443130140