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4434134784 = 28310753959
BaseRepresentation
bin1000010000100101…
…11000011100000000
3102110000121101102020
410020102320130000
533040114303114
62011554521440
7214611344442
oct41022703400
912400541366
104434134784
111975a54102
12a38b96280
13558854cc1
14300c82492
151ae42caa9
hex1084b8700

4434134784 has 72 divisors (see below), whose sum is σ = 11911777920. Its totient is φ = 1464204288.

The previous prime is 4434134779. The next prime is 4434134821. The reversal of 4434134784 is 4874314344.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55197 + ... + 109155.

It is an arithmetic number, because the mean of its divisors is an integer number (165441360).

Almost surely, 24434134784 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 4434134784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5955888960).

4434134784 is an abundant number, since it is smaller than the sum of its proper divisors (7477643136).

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

4434134784 is a wasteful number, since it uses less digits than its factorization.

4434134784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54085 (or 54071 counting only the distinct ones).

The product of its digits is 516096, while the sum is 42.

The square root of 4434134784 is about 66589.2993205365. The cubic root of 4434134784 is about 1642.8691081717.

The spelling of 4434134784 in words is "four billion, four hundred thirty-four million, one hundred thirty-four thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 107 128 192 214 256 321 384 428 642 768 856 1284 1712 2568 3424 5136 6848 10272 13696 20544 27392 41088 53959 82176 107918 161877 215836 323754 431672 647508 863344 1295016 1726688 2590032 3453376 5180064 5773613 6906752 10360128 11547226 13813504 17320839 20720256 23094452 34641678 41440512 46188904 69283356 92377808 138566712 184755616 277133424 369511232 554266848 739022464 1108533696 1478044928 2217067392 4434134784