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4023321004040 = 2351321813288209
BaseRepresentation
bin111010100011000000100…
…111101000100000001000
3112020121220011021110021112
4322203000213220200020
51011404230134112130
612320142124025452
7563450434162412
oct72430047504010
915217804243245
104023321004040
11131130a901128
1254b8b6092288
1323252252ab00
14dca3070b9b2
156e9c8577495
hex3a8c09e8808

4023321004040 has 96 divisors (see below), whose sum is σ = 9856541003400. Its totient is φ = 1477326090240.

The previous prime is 4023321004039. The next prime is 4023321004049. The reversal of 4023321004040 is 404001233204.

It can be written as a sum of positive squares in 12 ways, for example, as 209494782436 + 3813826221604 = 457706^2 + 1952902^2 .

It is a super-2 number, since 2×40233210040402 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4023321003997 and 4023321004015.

It is not an unprimeable number, because it can be changed into a prime (4023321004049) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 420545 + ... + 2867664.

Almost surely, 24023321004040 is an apocalyptic number.

4023321004040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4023321004040 is an abundant number, since it is smaller than the sum of its proper divisors (5833219999360).

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

4023321004040 is a wasteful number, since it uses less digits than its factorization.

4023321004040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3288427 (or 3288410 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

Adding to 4023321004040 its reverse (404001233204), we get a palindrome (4427322237244).

The spelling of 4023321004040 in words is "four trillion, twenty-three billion, three hundred twenty-one million, four thousand, forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 169 181 260 338 362 520 676 724 845 905 1352 1448 1690 1810 2353 3380 3620 4706 6760 7240 9412 11765 18824 23530 30589 47060 61178 94120 122356 152945 244712 305890 611780 1223560 3288209 6576418 13152836 16441045 26305672 32882090 42746717 65764180 85493434 131528360 170986868 213733585 341973736 427467170 555707321 595165829 854934340 1111414642 1190331658 1709868680 2222829284 2380663316 2778536605 2975829145 4445658568 4761326632 5557073210 5951658290 7737155777 11114146420 11903316580 15474311554 22228292840 23806633160 30948623108 38685778885 61897246216 77371557770 100583025101 154743115540 201166050202 309486231080 402332100404 502915125505 804664200808 1005830251010 2011660502020 4023321004040