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4040048840000 = 2654161362617
BaseRepresentation
bin111010110010100101101…
…011010000110101000000
3112022020001221122120022112
4322302211223100311000
51012143010000340000
612331550043354452
7564612114350435
oct72624553206500
915266057576275
104040048840000
111318414278948
12552ba4222a28
13233c8a01b3b4
14dd77a1c1b8c
1570156ddd235
hex3aca5ad0d40

4040048840000 has 140 divisors (see below), whose sum is σ = 10024378987524. Its totient is φ = 1614991872000.

The previous prime is 4040048839997. The next prime is 4040048840027. The reversal of 4040048840000 is 488400404.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 3806744383744 + 233304456256 = 1951088^2 + 483016^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 64488692 + ... + 64551308.

Almost surely, 24040048840000 is an apocalyptic number.

4040048840000 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 4040048840000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5012189493762).

4040048840000 is an abundant number, since it is smaller than the sum of its proper divisors (5984330147524).

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

4040048840000 is an equidigital number, since it uses as much as digits as its factorization.

4040048840000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64262 (or 64237 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 32.

The spelling of 4040048840000 in words is "four trillion, forty billion, forty-eight million, eight hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 625 800 1000 1250 1600 1613 2000 2500 3226 4000 5000 6452 8000 8065 10000 12904 16130 20000 25808 32260 40000 40325 51616 62617 64520 80650 103232 125234 129040 161300 201625 250468 258080 313085 322600 403250 500936 516160 626170 645200 806500 1001872 1008125 1252340 1290400 1565425 1613000 2003744 2016250 2504680 2580800 3130850 3226000 4007488 4032500 5009360 6261700 6452000 7827125 8065000 10018720 12523400 12904000 15654250 16130000 20037440 25046800 31308500 32260000 39135625 50093600 62617000 64520000 78271250 100187200 101001221 125234000 156542500 202002442 250468000 313085000 404004884 500936000 505006105 626170000 808009768 1010012210 1252340000 1616019536 2020024420 2504680000 2525030525 3232039072 4040048840 5050061050 6464078144 8080097680 10100122100 12625152625 16160195360 20200244200 25250305250 32320390720 40400488400 50500610500 63125763125 80800976800 101001221000 126251526250 161601953600 202002442000 252503052500 404004884000 505006105000 808009768000 1010012210000 2020024420000 4040048840000