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4034478942 = 235133120599
BaseRepresentation
bin1111000001111001…
…0100001101011110
3101102011120202200000
43300132110031132
531230311311232
61504200515130
7201656335164
oct36036241536
911364522600
104034478942
1117903a381a
1294717baa6
134c3b04260
142a3b6b234
151892d627c
hexf079435e

4034478942 has 96 divisors (see below), whose sum is σ = 10077849600. Its totient is φ = 1201275360.

The previous prime is 4034478907. The next prime is 4034478949. The reversal of 4034478942 is 2498744304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4034478949) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 185559 + ... + 206157.

It is an arithmetic number, because the mean of its divisors is an integer number (104977600).

Almost surely, 24034478942 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4034478942, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5038924800).

4034478942 is an abundant number, since it is smaller than the sum of its proper divisors (6043370658).

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

4034478942 is a wasteful number, since it uses less digits than its factorization.

4034478942 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20660 (or 20648 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The square root of 4034478942 is about 63517.5482996628. The cubic root of 4034478942 is about 1591.9490019163.

The spelling of 4034478942 in words is "four billion, thirty-four million, four hundred seventy-eight thousand, nine hundred forty-two".

Divisors: 1 2 3 6 9 13 18 26 27 31 39 54 62 78 81 93 117 162 186 234 243 279 351 403 486 558 702 806 837 1053 1209 1674 2106 2418 2511 3159 3627 5022 6318 7254 7533 10881 15066 20599 21762 32643 41198 61797 65286 97929 123594 185391 195858 267787 370782 535574 556173 638569 803361 1112346 1277138 1606722 1668519 1915707 2410083 3337038 3831414 4820166 5005557 5747121 7230249 8301397 10011114 11494242 14460498 16602794 17241363 21690747 24904191 34482726 43381494 49808382 51724089 65072241 74712573 103448178 130144482 149425146 155172267 224137719 310344534 448275438 672413157 1344826314 2017239471 4034478942