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23144034003040 = 255283983519971
BaseRepresentation
bin1010100001100101000111…
…11011001110100001100000
310000221112210112010020201001
411100302203323032201200
511013142440201044130
6121120120014121344
74606046511062056
oct520624373164140
9100845715106631
1023144034003040
117413369916065
1227195761b0254
13cbb61c371372
145a026a4281d6
152a206953b6ca
hex150ca3ece860

23144034003040 has 96 divisors (see below), whose sum is σ = 54926913597696. Its totient is φ = 9215499025920.

The previous prime is 23144034002983. The next prime is 23144034003049. The reversal of 23144034003040 is 4030043044132.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23144034003049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44250255 + ... + 44770225.

It is an arithmetic number, because the mean of its divisors is an integer number (572155349976).

Almost surely, 223144034003040 is an apocalyptic number.

23144034003040 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 23144034003040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27463456798848).

23144034003040 is an abundant number, since it is smaller than the sum of its proper divisors (31782879594656).

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

23144034003040 is a wasteful number, since it uses less digits than its factorization.

23144034003040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 521252 (or 521244 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 23144034003040 its reverse (4030043044132), we get a palindrome (27174077047172).

The spelling of 23144034003040 in words is "twenty-three trillion, one hundred forty-four billion, thirty-four million, three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 283 566 983 1132 1415 1966 2264 2830 3932 4528 4915 5660 7864 9056 9830 11320 15728 19660 22640 31456 39320 45280 78640 157280 278189 519971 556378 1039942 1112756 1390945 2079884 2225512 2599855 2781890 4159768 4451024 5199710 5563780 8319536 8902048 10399420 11127560 16639072 20798840 22255120 41597680 44510240 83195360 147151793 294303586 511131493 588607172 735758965 1022262986 1177214344 1471517930 2044525972 2354428688 2555657465 2943035860 4089051944 4708857376 5111314930 5886071720 8178103888 10222629860 11772143440 16356207776 20445259720 23544286880 40890519440 81781038880 144650212519 289300425038 578600850076 723251062595 1157201700152 1446502125190 2314403400304 2893004250380 4628806800608 5786008500760 11572017001520 23144034003040