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4042022340 = 2235174798273
BaseRepresentation
bin1111000011101100…
…0101110111000100
3101102200210000021010
43300323011313010
531234224203330
61505030322220
7202110423456
oct36073056704
911380700233
104042022340
111794686234
129497b9370
134c55458c5
142a4b722d6
15189cc63b0
hexf0ec5dc4

4042022340 has 96 divisors (see below), whose sum is σ = 12009876480. Its totient is φ = 1012228096.

The previous prime is 4042022311. The next prime is 4042022359. The reversal of 4042022340 is 432202404.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 484444 + ... + 492716.

It is an arithmetic number, because the mean of its divisors is an integer number (125102880).

Almost surely, 24042022340 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 4042022340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6004938240).

4042022340 is an abundant number, since it is smaller than the sum of its proper divisors (7967854140).

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

4042022340 is a wasteful number, since it uses less digits than its factorization.

4042022340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8781 (or 8779 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 21.

The square root of 4042022340 is about 63576.9009939931. The cubic root of 4042022340 is about 1592.9405573313.

Adding to 4042022340 its reverse (432202404), we get a palindrome (4474224744).

The spelling of 4042022340 in words is "four billion, forty-two million, twenty-two thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 255 340 479 510 958 1020 1437 1916 2395 2874 4790 5748 7185 8143 8273 9580 14370 16286 16546 24429 24819 28740 32572 33092 40715 41365 48858 49638 81430 82730 97716 99276 122145 124095 140641 162860 165460 244290 248190 281282 421923 488580 496380 562564 703205 843846 1406410 1687692 2109615 2812820 3962767 4219230 7925534 8438460 11888301 15851068 19813835 23776602 39627670 47553204 59441505 67367039 79255340 118883010 134734078 202101117 237766020 269468156 336835195 404202234 673670390 808404468 1010505585 1347340780 2021011170 4042022340