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4448069514 = 2327151389601
BaseRepresentation
bin1000010010010000…
…00010011110001010
3102110222211100021100
410021020002132022
533102201211024
62013213322230
7215140652460
oct41110023612
912428740240
104448069514
111982901509
12a41796376
1355b6c37c5
14302a6c830
151b07817c9
hex10920278a

4448069514 has 96 divisors (see below), whose sum is σ = 11134206720. Its totient is φ = 1257120000.

The previous prime is 4448069497. The next prime is 4448069543. The reversal of 4448069514 is 4159608444.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 4448069514.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7400814 + ... + 7401414.

It is an arithmetic number, because the mean of its divisors is an integer number (115981320).

Almost surely, 24448069514 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4448069514, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5567103360).

4448069514 is an abundant number, since it is smaller than the sum of its proper divisors (6686137206).

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

4448069514 is a wasteful number, since it uses less digits than its factorization.

4448069514 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1156 (or 1153 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 4448069514 is about 66693.8491466792. The cubic root of 4448069514 is about 1644.5882709244.

The spelling of 4448069514 in words is "four billion, four hundred forty-eight million, sixty-nine thousand, five hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 151 302 389 453 601 778 906 1057 1167 1202 1359 1803 2114 2334 2718 2723 3171 3501 3606 4207 5409 5446 6342 7002 8169 8414 9513 10818 12621 16338 19026 24507 25242 37863 49014 58739 75726 90751 117478 176217 181502 233789 272253 352434 411173 467578 528651 544506 635257 701367 816759 822346 1057302 1233519 1270514 1402734 1633518 1636523 1905771 2104101 2467038 3273046 3700557 3811542 4208202 4909569 5717313 7401114 9819138 11434626 14728707 29457414 35302139 70604278 105906417 211812834 247114973 317719251 494229946 635438502 741344919 1482689838 2224034757 4448069514