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4231253040 = 243572818963
BaseRepresentation
bin1111110000110011…
…1100110000110000
3101220212211220222120
43330030330300300
532131200044130
61535510234240
7206566025460
oct37414746060
911825756876
104231253040
111881483043
129a1055980
135257cc131
142c1d4dba0
1519b704910
hexfc33cc30

4231253040 has 160 divisors (see below), whose sum is σ = 15045751296. Its totient is φ = 963594240.

The previous prime is 4231253017. The next prime is 4231253053. The reversal of 4231253040 is 403521324.

4231253040 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 (24).

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 4231253040.

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, 467599 + ... + 476561.

Almost surely, 24231253040 is an apocalyptic number.

4231253040 is a gapful number since it is divisible by the number (40) 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 4231253040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7522875648).

4231253040 is an abundant number, since it is smaller than the sum of its proper divisors (10814498256).

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

4231253040 is a wasteful number, since it uses less digits than its factorization.

4231253040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9267 (or 9261 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 4231253040 is about 65048.0825236225. The cubic root of 4231253040 is about 1617.4207088387.

Adding to 4231253040 its reverse (403521324), we get a palindrome (4634774364).

The spelling of 4231253040 in words is "four billion, two hundred thirty-one million, two hundred fifty-three thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 281 336 420 560 562 840 843 1124 1405 1680 1686 1967 2248 2810 3372 3934 4215 4496 5620 5901 6744 7868 8430 8963 9835 11240 11802 13488 15736 16860 17926 19670 22480 23604 26889 29505 31472 33720 35852 39340 44815 47208 53778 59010 62741 67440 71704 78680 89630 94416 107556 118020 125482 134445 143408 157360 179260 188223 215112 236040 250964 268890 313705 358520 376446 430224 472080 501928 537780 627410 717040 752892 941115 1003856 1075560 1254820 1505784 1882230 2151120 2509640 2518603 3011568 3764460 5019280 5037206 7528920 7555809 10074412 12593015 15057840 15111618 17630221 20148824 25186030 30223236 35260442 37779045 40297648 50372060 52890663 60446472 70520884 75558090 88151105 100744120 105781326 120892944 141041768 151116180 176302210 201488240 211562652 264453315 282083536 302232360 352604420 423125304 528906630 604464720 705208840 846250608 1057813260 1410417680 2115626520 4231253040