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4435428245344 = 252017451315227
BaseRepresentation
bin100000010001011010000…
…0111111111111101100000
3120201000121121202102000221
41000202310013333331200
51040132224112322334
613233335124252424
7635310022012135
oct100426407777540
916630547672027
104435428245344
111460066682078
125b7747b41114
1326234a2ab455
1411496684658c
157a597d268b4
hex408b41fff60

4435428245344 has 48 divisors (see below), whose sum is σ = 8739088435728. Its totient is φ = 2215977910272.

The previous prime is 4435428245341. The next prime is 4435428245363.

It is a happy number.

4435428245344 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 4435428245291 and 4435428245300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4435428245341) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 291279459 + ... + 291294685.

It is an arithmetic number, because the mean of its divisors is an integer number (182064342411).

Almost surely, 24435428245344 is an apocalyptic number.

It is an amenable number.

4435428245344 is a deficient number, since it is larger than the sum of its proper divisors (4303660190384).

4435428245344 is a wasteful number, since it uses less digits than its factorization.

4435428245344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21767 (or 21759 counting only the distinct ones).

The product of its digits is 29491200, while the sum is 52.

The spelling of 4435428245344 in words is "four trillion, four hundred thirty-five billion, four hundred twenty-eight million, two hundred forty-five thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 32 2017 4034 4513 8068 9026 15227 16136 18052 30454 32272 36104 60908 64544 72208 121816 144416 243632 487264 9102721 18205442 30712859 36410884 61425718 68719451 72821768 122851436 137438902 145643536 245702872 274877804 291287072 491405744 549755608 982811488 1099511216 2199022432 138607132667 277214265334 554428530668 1108857061336 2217714122672 4435428245344