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4138737344 = 26724138333
BaseRepresentation
bin1111011010110000…
…0001111011000000
3101200102202122022022
43312230001323000
531434004043334
61522403301012
7204363454430
oct36654017300
911612678268
104138737344
111834233695
1297607a768
1350c5a9111
142b394a2c0
1519352c82e
hexf6b01ec0

4138737344 has 56 divisors (see below), whose sum is σ = 9425257248. Its totient is φ = 1766338560.

The previous prime is 4138737331. The next prime is 4138737391. The reversal of 4138737344 is 4437378314.

It is a tau number, because it is divible by the number of its divisors (56).

It is a junction number, because it is equal to n+sod(n) for n = 4138737295 and 4138737304.

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, 88802 + ... + 127134.

Almost surely, 24138737344 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 4138737344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4712628624).

4138737344 is an abundant number, since it is smaller than the sum of its proper divisors (5286519904).

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

4138737344 is a wasteful number, since it uses less digits than its factorization.

4138737344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38593 (or 38583 counting only the distinct ones).

The product of its digits is 677376, while the sum is 44.

The square root of 4138737344 is about 64333.0190804069. The cubic root of 4138737344 is about 1605.5455156626.

The spelling of 4138737344 in words is "four billion, one hundred thirty-eight million, seven hundred thirty-seven thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 241 448 482 964 1687 1928 3374 3856 6748 7712 13496 15424 26992 38333 53984 76666 107968 153332 268331 306664 536662 613328 1073324 1226656 2146648 2453312 4293296 8586592 9238253 17173184 18476506 36953012 64667771 73906024 129335542 147812048 258671084 295624096 517342168 591248192 1034684336 2069368672 4138737344