Search a number
-
+
4042020023235 = 335314632086037
BaseRepresentation
bin111010110100011011001…
…010101110101111000011
3112022102011022210001101000
4322310123022232233003
51012211024111220420
612332513420543043
7565012011212355
oct72643312565703
915272138701330
104042020023235
111319235a22aa7
125534543b1a83
132342125161cc
14dd8c5cd90d5
157021eeac690
hex3ad1b2aebc3

4042020023235 has 64 divisors (see below), whose sum is σ = 7433638133760. Its totient is φ = 2081697045120.

The previous prime is 4042020023219. The next prime is 4042020023311. The reversal of 4042020023235 is 5323200202404.

It is a happy number.

4042020023235 is a `hidden beast` number, since 4 + 0 + 420 + 2 + 0 + 0 + 2 + 3 + 235 = 666.

It is not a de Polignac number, because 4042020023235 - 24 = 4042020023219 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 4042020023199 and 4042020023208.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 894637 + ... + 2980673.

It is an arithmetic number, because the mean of its divisors is an integer number (116150595840).

Almost surely, 24042020023235 is an apocalyptic number.

4042020023235 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

4042020023235 is a deficient number, since it is larger than the sum of its proper divisors (3391618110525).

4042020023235 is a wasteful number, since it uses less digits than its factorization.

4042020023235 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2086545 (or 2086539 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 27.

Adding to 4042020023235 its reverse (5323200202404), we get a palindrome (9365220225639).

The spelling of 4042020023235 in words is "four trillion, forty-two billion, twenty million, twenty-three thousand, two hundred thirty-five".

Divisors: 1 3 5 9 15 27 31 45 93 135 155 279 463 465 837 1389 1395 2315 4167 4185 6945 12501 14353 20835 43059 62505 71765 129177 215295 387531 645885 1937655 2086037 6258111 10430185 18774333 31290555 56322999 64667147 93871665 194001441 281614995 323335735 582004323 965835131 970007205 1746012969 2897505393 2910021615 4829175655 8692516179 8730064845 14487526965 26077548537 29940889061 43462580895 89822667183 130387742685 149704445305 269468001549 449113335915 808404004647 1347340007745 4042020023235