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3442214230420 = 22571671217120977
BaseRepresentation
bin110010000101110011111…
…101001101100110010100
3110012001221211100202001111
4302011303331031212110
5422344123320333140
611153155325104404
7503456164124140
oct62056375154624
913161854322044
103442214230420
111107920216209
1247715a6b8104
131bc7a3b953c4
14bc86576a220
155e8172027ea
hex32173f4d994

3442214230420 has 96 divisors (see below), whose sum is σ = 8317680763392. Its totient is φ = 1172147109888.

The previous prime is 3442214230397. The next prime is 3442214230423. The reversal of 3442214230420 is 240324122443.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3442214230423) 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, 28392972 + ... + 28513948.

It is an arithmetic number, because the mean of its divisors is an integer number (86642507952).

Almost surely, 23442214230420 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 3442214230420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4158840381696).

3442214230420 is an abundant number, since it is smaller than the sum of its proper divisors (4875466532972).

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

3442214230420 is a wasteful number, since it uses less digits than its factorization.

3442214230420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122377 (or 122375 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 31.

Adding to 3442214230420 its reverse (240324122443), we get a palindrome (3682538352863).

The spelling of 3442214230420 in words is "three trillion, four hundred forty-two billion, two hundred fourteen million, two hundred thirty thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 167 334 668 835 1169 1217 1670 2338 2434 3340 4676 4868 5845 6085 8519 11690 12170 17038 23380 24340 34076 42595 85190 120977 170380 203239 241954 406478 483908 604885 812956 846839 1016195 1209770 1422673 1693678 2032390 2419540 2845346 3387356 4064780 4234195 5690692 7113365 8468390 14226730 16936780 20203159 28453460 40406318 80812636 101015795 141422113 147229009 202031590 282844226 294458018 404063180 565688452 588916036 707110565 736145045 1030603063 1414221130 1472290090 2061206126 2828442260 2944580180 4122412252 5153015315 10306030630 20612061260 24587244503 49174489006 98348978012 122936222515 172110711521 245872445030 344221423042 491744890060 688442846084 860553557605 1721107115210 3442214230420