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4020401420 = 2257611672819
BaseRepresentation
bin1110111110100010…
…0111010100001100
3101101012002112221022
43233220213110030
531213210321140
61502535053312
7201425563640
oct35750472414
911335075838
104020401420
111783459102
12942511238
134c0c15769
142a1d44c20
15187e550b5
hexefa2750c

4020401420 has 96 divisors (see below), whose sum is σ = 9869368320. Its totient is φ = 1347229440.

The previous prime is 4020401419. The next prime is 4020401431. The reversal of 4020401420 is 241040204.

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, 1424771 + ... + 1427589.

It is an arithmetic number, because the mean of its divisors is an integer number (102805920).

Almost surely, 24020401420 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 4020401420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4934684160).

4020401420 is an abundant number, since it is smaller than the sum of its proper divisors (5848966900).

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

4020401420 is a wasteful number, since it uses less digits than its factorization.

4020401420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3063 (or 3061 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 17.

The square root of 4020401420 is about 63406.6354571822. The cubic root of 4020401420 is about 1590.0952463281.

Adding to 4020401420 its reverse (241040204), we get a palindrome (4261441624).

The spelling of 4020401420 in words is "four billion, twenty million, four hundred one thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 61 70 122 140 167 244 305 334 427 610 668 835 854 1169 1220 1670 1708 2135 2338 2819 3340 4270 4676 5638 5845 8540 10187 11276 11690 14095 19733 20374 23380 28190 39466 40748 50935 56380 71309 78932 98665 101870 142618 171959 197330 203740 285236 343918 356545 394660 470773 687836 713090 859795 941546 1203713 1426180 1719590 1883092 2353865 2407426 3295411 3439180 4707730 4814852 6018565 6590822 9415460 12037130 13181644 16477055 24074260 28717153 32954110 57434306 65908220 114868612 143585765 201020071 287171530 402040142 574343060 804080284 1005100355 2010200710 4020401420