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4013444004234 = 237473079660329
BaseRepresentation
bin111010011001110011111…
…001110111100110001010
3112012200101210221212200220
4322121303321313212022
51011224013131113414
612311430053410510
7562650612105540
oct72316371674612
915180353855626
104013444004234
111308101567a75
125499ba339a36
1323160a178022
14dc374a45d90
156e5eb3b3ca9
hex3a673e7798a

4013444004234 has 64 divisors (see below), whose sum is σ = 9371825971200. Its totient is φ = 1121934250368.

The previous prime is 4013444004233. The next prime is 4013444004253. The reversal of 4013444004234 is 4324004443104.

It is a super-2 number, since 2×40134440042342 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4013444004195 and 4013444004204.

It is not an unprimeable number, because it can be changed into a prime (4013444004233) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5747782 + ... + 6408110.

It is an arithmetic number, because the mean of its divisors is an integer number (146434780800).

Almost surely, 24013444004234 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4013444004234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4685912985600).

4013444004234 is an abundant number, since it is smaller than the sum of its proper divisors (5358381966966).

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

4013444004234 is a wasteful number, since it uses less digits than its factorization.

4013444004234 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 663467.

The product of its (nonzero) digits is 73728, while the sum is 33.

Adding to 4013444004234 its reverse (4324004443104), we get a palindrome (8337448447338).

The spelling of 4013444004234 in words is "four trillion, thirteen billion, four hundred forty-four million, four thousand, two hundred thirty-four".

Divisors: 1 2 3 6 7 14 21 42 47 94 141 282 329 658 987 1974 3079 6158 9237 18474 21553 43106 64659 129318 144713 289426 434139 660329 868278 1012991 1320658 1980987 2025982 3038973 3961974 4622303 6077946 9244606 13866909 27733818 31035463 62070926 93106389 186212778 217248241 434496482 651744723 1303489446 2033152991 4066305982 6099458973 12198917946 14232070937 28464141874 42696212811 85392425622 95558190577 191116381154 286674571731 573349143462 668907334039 1337814668078 2006722002117 4013444004234