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4210140424 = 23729127137149
BaseRepresentation
bin1111101011110001…
…1010010100001000
3101212102010021220211
43322330122110020
532110243443144
61533433530504
7206221413610
oct37274322410
911772107824
104210140424
1118705728a6
12995b73a34
13521319469
142bd215a40
15199934034
hexfaf1a508

4210140424 has 128 divisors (see below), whose sum is σ = 9538560000. Its totient is φ = 1704278016.

The previous prime is 4210140421. The next prime is 4210140433. The reversal of 4210140424 is 4240410124.

4210140424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 4210140395 and 4210140404.

It is not an unprimeable number, because it can be changed into a prime (4210140421) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28255902 + ... + 28256050.

It is an arithmetic number, because the mean of its divisors is an integer number (74520000).

Almost surely, 24210140424 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 4210140424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4769280000).

4210140424 is an abundant number, since it is smaller than the sum of its proper divisors (5328419576).

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

4210140424 is a wasteful number, since it uses less digits than its factorization.

4210140424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 455 (or 451 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

The square root of 4210140424 is about 64885.5948882339. The cubic root of 4210140424 is about 1614.7260826164.

Adding to 4210140424 its reverse (4240410124), we get a palindrome (8450550548).

The spelling of 4210140424 in words is "four billion, two hundred ten million, one hundred forty thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 28 29 56 58 116 127 137 149 203 232 254 274 298 406 508 548 596 812 889 959 1016 1043 1096 1192 1624 1778 1918 2086 3556 3683 3836 3973 4172 4321 7112 7366 7672 7946 8344 8642 14732 15892 17284 17399 18923 20413 25781 27811 29464 30247 31784 34568 34798 37846 40826 51562 55622 60494 69596 75692 81652 103124 111244 120988 121793 132461 139192 142891 151384 163304 206248 222488 241976 243586 264922 285782 487172 504571 529844 548767 571564 591977 974344 1009142 1059688 1097534 1143128 1183954 2018284 2195068 2367908 2592451 3531997 3841369 4036568 4143839 4390136 4735816 5184902 7063994 7682738 8287678 10369804 14127988 15365476 16575356 18147157 20739608 28255976 30730952 33150712 36294314 72588628 75181079 145177256 150362158 300724316 526267553 601448632 1052535106 2105070212 4210140424