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4023003323440 = 2451771347120067
BaseRepresentation
bin111010100010101101101…
…011110001110000110000
3112020121002000111121102101
4322202231223301300300
51011403102322322230
612320050415030144
7563436526014043
oct72425553616060
915217060447371
104023003323440
111311167550a82
1254b82780b354
132324a177c51a
14dca00454c5a
156e9aa724aca
hex3a8adaf1c30

4023003323440 has 160 divisors (see below), whose sum is σ = 10072202909184. Its totient is φ = 1488895242240.

The previous prime is 4023003323429. The next prime is 4023003323453. The reversal of 4023003323440 is 443233003204.

4023003323440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 4023003323399 and 4023003323408.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33446287 + ... + 33566353.

Almost surely, 24023003323440 is an apocalyptic number.

4023003323440 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 4023003323440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5036101454592).

4023003323440 is an abundant number, since it is smaller than the sum of its proper divisors (6049199585744).

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

4023003323440 is a wasteful number, since it uses less digits than its factorization.

4023003323440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120515 (or 120509 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 28.

Adding to 4023003323440 its reverse (443233003204), we get a palindrome (4466236326644).

The spelling of 4023003323440 in words is "four trillion, twenty-three billion, three million, three hundred twenty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 71 80 85 136 142 170 272 284 340 347 355 568 680 694 710 1136 1207 1360 1388 1420 1735 2414 2776 2840 3470 4828 5552 5680 5899 6035 6940 9656 11798 12070 13880 19312 23596 24140 24637 27760 29495 47192 48280 49274 58990 94384 96560 98548 117980 120067 123185 197096 235960 240134 246370 394192 418829 471920 480268 492740 600335 837658 960536 985480 1200670 1675316 1921072 1970960 2041139 2094145 2401340 3350632 4082278 4188290 4802680 6701264 8164556 8376580 8524757 9605360 10205695 16329112 16753160 17049514 20411390 32658224 33506320 34099028 40822780 41663249 42623785 68198056 81645560 83326498 85247570 136396112 144920869 163291120 166652996 170495140 208316245 289841738 333305992 340990280 416632490 579683476 666611984 681980560 708275233 724604345 833264980 1159366952 1416550466 1449208690 1666529960 2318733904 2833100932 2898417380 2958090679 3333059920 3541376165 5666201864 5796834760 5916181358 7082752330 11332403728 11593669520 11832362716 14165504660 14790453395 23664725432 28331009320 29580906790 47329450864 50287541543 56662018640 59161813580 100575083086 118323627160 201150166172 236647254320 251437707715 402300332344 502875415430 804600664688 1005750830860 2011501661720 4023003323440