Search a number
-
+
4138445034 = 235471031759
BaseRepresentation
bin1111011010101011…
…1010100011101010
3101200102012210100000
43312222322203222
531433420220114
61522353123430
7204361126263
oct36652724352
911612183300
104138445034
111834054009
12975b59576
1350c506059
142b38b196a
151934c0e09
hexf6aba8ea

4138445034 has 96 divisors (see below), whose sum is σ = 9594224640. Its totient is φ = 1336262832.

The previous prime is 4138445033. The next prime is 4138445041. The reversal of 4138445034 is 4305448314.

It is a super-2 number, since 2×41384450342 = 34253454598878522312, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4138445034.

It is not an unprimeable number, because it can be changed into a prime (4138445033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2351847 + ... + 2353605.

It is an arithmetic number, because the mean of its divisors is an integer number (99939840).

Almost surely, 24138445034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4138445034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4797112320).

4138445034 is an abundant number, since it is smaller than the sum of its proper divisors (5455779606).

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

4138445034 is a wasteful number, since it uses less digits than its factorization.

4138445034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1926 (or 1914 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The square root of 4138445034 is about 64330.7471898159. The cubic root of 4138445034 is about 1605.5077160457.

The spelling of 4138445034 in words is "four billion, one hundred thirty-eight million, four hundred forty-five thousand, thirty-four".

Divisors: 1 2 3 6 9 18 27 47 54 81 94 103 141 162 206 243 282 309 423 486 618 846 927 1269 1759 1854 2538 2781 3518 3807 4841 5277 5562 7614 8343 9682 10554 11421 14523 15831 16686 22842 25029 29046 31662 43569 47493 50058 82673 87138 94986 130707 142479 165346 181177 248019 261414 284958 362354 392121 427437 496038 543531 744057 784242 854874 1087062 1176363 1488114 1630593 2232171 2352726 3261186 4464342 4891779 6696513 8515319 9783558 13393026 14675337 17030638 20089539 25545957 29350674 40179078 44026011 51091914 76637871 88052022 153275742 229913613 459827226 689740839 1379481678 2069222517 4138445034