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4223100323008 = 267151457136603
BaseRepresentation
bin111101011101000100011…
…001010000010011000000
3112221201120010022101022101
4331131010121100103000
51023142402140314013
612552022052120144
7614052235315450
oct75350431202300
915851503271271
104223100323008
111389009044406
1258256b906054
1324830cc01598
14108583385d60
1574cbc4598dd
hex3d7446504c0

4223100323008 has 112 divisors (see below), whose sum is σ = 9661981249024. Its totient is φ = 1793966745600.

The previous prime is 4223100322993. The next prime is 4223100323009. The reversal of 4223100323008 is 8003230013224.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (4223100323009) 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 15 ways as a sum of consecutive naturals, for example, 30846835 + ... + 30983437.

Almost surely, 24223100323008 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 4223100323008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4830990624512).

4223100323008 is an abundant number, since it is smaller than the sum of its proper divisors (5438880926016).

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

4223100323008 is a wasteful number, since it uses less digits than its factorization.

4223100323008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137230 (or 137220 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

The spelling of 4223100323008 in words is "four trillion, two hundred twenty-three billion, one hundred million, three hundred twenty-three thousand, eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 151 224 302 448 457 604 914 1057 1208 1828 2114 2416 3199 3656 4228 4832 6398 7312 8456 9664 12796 14624 16912 25592 29248 33824 51184 67648 69007 102368 136603 138014 204736 273206 276028 483049 546412 552056 956221 966098 1092824 1104112 1912442 1932196 2185648 2208224 3824884 3864392 4371296 4416448 7649768 7728784 8742592 15299536 15457568 20627053 30599072 30915136 41254106 61198144 62427571 82508212 124855142 144389371 165016424 249710284 288778742 330032848 436992997 499420568 577557484 660065696 873985994 998841136 1155114968 1320131392 1747971988 1997682272 2310229936 3495943976 3995364544 4620459872 6991887952 9240919744 9426563221 13983775904 18853126442 27967551808 37706252884 65985942547 75412505768 131971885094 150825011536 263943770188 301650023072 527887540376 603300046144 1055775080752 2111550161504 4223100323008