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4040424110000 = 24543671100933
BaseRepresentation
bin111010110010111100000…
…010110011011110110000
3112022021001002210020222102
4322302330002303132300
51012144242033010000
612332051210555532
7564624322163165
oct72627402633660
915267032706872
104040424110000
111318597092843
12553089a38ba8
132340199b1655
14dd7b3d8a06c
1570179d193d5
hex3acbc0b37b0

4040424110000 has 100 divisors (see below), whose sum is σ = 9808934411232. Its totient is φ = 1611764448000.

The previous prime is 4040424109991. The next prime is 4040424110027. The reversal of 4040424110000 is 114240404.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3119534 + ... + 4220466.

Almost surely, 24040424110000 is an apocalyptic number.

4040424110000 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 4040424110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4904467205616).

4040424110000 is an abundant number, since it is smaller than the sum of its proper divisors (5768510301232).

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

4040424110000 is a wasteful number, since it uses less digits than its factorization.

4040424110000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1101328 (or 1101307 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 4040424110000 its reverse (114240404), we get a palindrome (4040538350404).

The spelling of 4040424110000 in words is "four trillion, forty billion, four hundred twenty-four million, one hundred ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 367 400 500 625 734 1000 1250 1468 1835 2000 2500 2936 3670 5000 5872 7340 9175 10000 14680 18350 29360 36700 45875 73400 91750 146800 183500 229375 367000 458750 734000 917500 1100933 1835000 2201866 3670000 4403732 5504665 8807464 11009330 17614928 22018660 27523325 44037320 55046650 88074640 110093300 137616625 220186600 275233250 404042411 440373200 550466500 688083125 808084822 1100933000 1376166250 1616169644 2020212055 2201866000 2752332500 3232339288 4040424110 5504665000 6464678576 8080848220 10101060275 11009330000 16161696440 20202120550 32323392880 40404241100 50505301375 80808482200 101010602750 161616964400 202021205500 252526506875 404042411000 505053013750 808084822000 1010106027500 2020212055000 4040424110000