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4300013442032 = 247211929536717
BaseRepresentation
bin111110100100101100110…
…001100001001111110000
3120020002002022220122200022
4332210230301201033300
51030422411420121112
613051222055143012
7622444225122200
oct76445461411760
916202068818608
104300013442032
11140869753a090
12595455974a68
132526496527b9
1410c19c180400
1576cbe921d72
hex3e92cc613f0

4300013442032 has 120 divisors (see below), whose sum is σ = 10583928678960. Its totient is φ = 1673523425280.

The previous prime is 4300013442007. The next prime is 4300013442037. The reversal of 4300013442032 is 2302443100034.

4300013442032 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 = 4300013441992 and 4300013442010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4300013442037) 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, 7743338 + ... + 8280054.

It is an arithmetic number, because the mean of its divisors is an integer number (88199405658).

Almost surely, 24300013442032 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 4300013442032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5291964339480).

4300013442032 is an abundant number, since it is smaller than the sum of its proper divisors (6283915236928).

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

4300013442032 is a wasteful number, since it uses less digits than its factorization.

4300013442032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 537679 (or 537666 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 26.

Adding to 4300013442032 its reverse (2302443100034), we get a palindrome (6602456542066).

The spelling of 4300013442032 in words is "four trillion, three hundred billion, thirteen million, four hundred forty-two thousand, thirty-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 49 56 77 88 98 112 154 176 196 308 392 539 616 784 929 1078 1232 1858 2156 3716 4312 6503 7432 8624 10219 13006 14864 20438 26012 40876 45521 52024 71533 81752 91042 104048 143066 163504 182084 286132 364168 500731 536717 572264 728336 1001462 1073434 1144528 2002924 2146868 3757019 4005848 4293736 5903887 7514038 8011696 8587472 11807774 15028076 23615548 26299133 30056152 41327209 47231096 52598266 60112304 82654418 94462192 105196532 165308836 210393064 289290463 330617672 420786128 498610093 578580926 661235344 997220186 1157161852 1994440372 2314323704 3490270651 3988880744 4628647408 5484711023 6980541302 7977761488 10969422046 13961082604 21938844092 24431894557 27922165208 38392977161 43877688184 48863789114 55844330416 76785954322 87755376368 97727578228 153571908644 195455156456 268750840127 307143817288 390910312912 537501680254 614287634576 1075003360508 2150006721016 4300013442032