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4012440330432 = 263433001161947
BaseRepresentation
bin111010011000111000000…
…101001010000011000000
3112012120210212100222002010
4322120320011022003000
51011214434211033212
612311142321252520
7562614004034052
oct72307005120300
915176725328063
104012440330432
111307736a64a96
1254977a194140
132314aa2528c1
14dc2bb61d8d2
156e58d20903c
hex3a63814a0c0

4012440330432 has 112 divisors (see below), whose sum is σ = 10866824811392. Its totient is φ = 1305932544000.

The previous prime is 4012440330419. The next prime is 4012440330439. The reversal of 4012440330432 is 2340330442104.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 4012440330432.

It is not an unprimeable number, because it can be changed into a prime (4012440330439) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24695283 + ... + 24857229.

Almost surely, 24012440330432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4012440330432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5433412405696).

4012440330432 is an abundant number, since it is smaller than the sum of its proper divisors (6854384480960).

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

4012440330432 is a wasteful number, since it uses less digits than its factorization.

4012440330432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165006 (or 164996 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 4012440330432 its reverse (2340330442104), we get a palindrome (6352770772536).

The spelling of 4012440330432 in words is "four trillion, twelve billion, four hundred forty million, three hundred thirty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 64 86 96 129 172 192 258 344 516 688 1032 1376 2064 2752 3001 4128 6002 8256 9003 12004 18006 24008 36012 48016 72024 96032 129043 144048 161947 192064 258086 288096 323894 387129 485841 516172 576192 647788 774258 971682 1032344 1295576 1548516 1943364 2064688 2591152 3097032 3886728 4129376 5182304 6194064 6963721 7773456 8258752 10364608 12388128 13927442 15546912 20891163 24776256 27854884 31093824 41782326 55709768 83564652 111419536 167129304 222839072 334258608 445678144 486002947 668517216 972005894 1337034432 1458008841 1944011788 2916017682 3888023576 5832035364 7776047152 11664070728 15552094304 20898126721 23328141456 31104188608 41796253442 46656282912 62694380163 83592506884 93312565824 125388760326 167185013768 250777520652 334370027536 501555041304 668740055072 1003110082608 1337480110144 2006220165216 4012440330432