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4141703296 = 27197921557
BaseRepresentation
bin1111011011011101…
…0110000010000000
3101200122100022211101
43312313112002000
531440234001141
61522551024144
7204430616503
oct36667260200
911618308741
104141703296
111835979a95
1297706b054
135100a7113
142b40bd13a
15193916531
hexf6dd6080

4141703296 has 64 divisors (see below), whose sum is σ = 8795664000. Its totient is φ = 1936935936.

The previous prime is 4141703287. The next prime is 4141703297. The reversal of 4141703296 is 6923071414.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (4141703297) 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, 181350 + ... + 202906.

It is an arithmetic number, because the mean of its divisors is an integer number (137432250).

Almost surely, 24141703296 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 4141703296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4397832000).

4141703296 is an abundant number, since it is smaller than the sum of its proper divisors (4653960704).

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

4141703296 is a wasteful number, since it uses less digits than its factorization.

4141703296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21669 (or 21657 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 37.

The square root of 4141703296 is about 64356.0665050312. The cubic root of 4141703296 is about 1605.9289525633.

The spelling of 4141703296 in words is "four billion, one hundred forty-one million, seven hundred three thousand, two hundred ninety-six".

Divisors: 1 2 4 8 16 19 32 38 64 76 79 128 152 158 304 316 608 632 1216 1264 1501 2432 2528 3002 5056 6004 10112 12008 21557 24016 43114 48032 86228 96064 172456 192128 344912 409583 689824 819166 1379648 1638332 1703003 2759296 3276664 3406006 6553328 6812012 13106656 13624024 26213312 27248048 32357057 52426624 54496096 64714114 108992192 129428228 217984384 258856456 517712912 1035425824 2070851648 4141703296