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4464424244644 = 22713101599202729
BaseRepresentation
bin100000011110111010001…
…1010111101010110100100
3120210210110101211210100221
41000331310122331112210
51041121120101312034
613254532253214124
7640354410645220
oct100756432752644
916723411753327
104464424244644
11147139610a561
1260129a791344
13264cbb6653a0
141161177c1780
157b1e372dbb4
hex40f746bd5a4

4464424244644 has 96 divisors (see below), whose sum is σ = 9727147584000. Its totient is φ = 1745731353600.

The previous prime is 4464424244633. The next prime is 4464424244647.

4464424244644 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a junction number, because it is equal to n+sod(n) for n = 4464424244591 and 4464424244600.

It is not an unprimeable number, because it can be changed into a prime (4464424244647) 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, 21920272 + ... + 22123000.

It is an arithmetic number, because the mean of its divisors is an integer number (101324454000).

Almost surely, 24464424244644 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 4464424244644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4863573792000).

4464424244644 is an abundant number, since it is smaller than the sum of its proper divisors (5262723339356).

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

4464424244644 is a wasteful number, since it uses less digits than its factorization.

4464424244644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203453 (or 203451 counting only the distinct ones).

The product of its digits is 37748736, while the sum is 52.

The spelling of 4464424244644 in words is "four trillion, four hundred sixty-four billion, four hundred twenty-four million, two hundred forty-four thousand, six hundred forty-four".

Divisors: 1 2 4 7 13 14 26 28 52 91 101 182 202 364 404 599 707 1198 1313 1414 2396 2626 2828 4193 5252 7787 8386 9191 15574 16772 18382 31148 36764 54509 60499 109018 120998 202729 218036 241996 405458 423493 786487 810916 846986 1419103 1572974 1693972 2635477 2838206 3145948 5270954 5505409 5676412 10541908 11010818 18448339 20475629 22021636 36896678 40951258 73793356 81902516 121434671 143329403 242869342 266183177 286658806 485738684 532366354 573317612 850042697 1064732708 1578650723 1700085394 1863282239 3157301446 3400170788 3726564478 6314602892 7453128956 11050555061 12264901771 22101110122 24529803542 44202220244 49059607084 85854312397 159443723023 171708624794 318887446046 343417249588 637774892092 1116106061161 2232212122322 4464424244644