Search a number
-
+
42222333341000 = 2353291455942529
BaseRepresentation
bin10011001100110101001110…
…01011100010110101001000
312112111102020000011211010202
421212122213023202311020
521013232314313403000
6225444401104231332
711615314531546121
oct1146324713426510
9175442200154122
1042222333341000
11124a943348976a
12489ab7a00b548
131a7371a072677
14a5d80119d048
154d3476b94dd5
hex2666a72e2d48

42222333341000 has 64 divisors (see below), whose sum is σ = 102207165606000. Its totient is φ = 16306556313600.

The previous prime is 42222333340991. The next prime is 42222333341017. The reversal of 42222333341000 is 14333322224.

It can be written as a sum of positive squares in 8 ways, for example, as 9268602735844 + 32953730605156 = 3044438^2 + 5740534^2 .

It is a Harshad number since it is a multiple of its sum of digits (29).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 727942265 + ... + 728000264.

Almost surely, 242222333341000 is an apocalyptic number.

42222333341000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42222333341000 is an abundant number, since it is smaller than the sum of its proper divisors (59984832265000).

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

42222333341000 is a wasteful number, since it uses less digits than its factorization.

42222333341000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1455942579 (or 1455942565 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 29.

Adding to 42222333341000 its reverse (14333322224), we get a palindrome (42236666663224).

The spelling of 42222333341000 in words is "forty-two trillion, two hundred twenty-two billion, three hundred thirty-three million, three hundred forty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 29 40 50 58 100 116 125 145 200 232 250 290 500 580 725 1000 1160 1450 2900 3625 5800 7250 14500 29000 1455942529 2911885058 5823770116 7279712645 11647540232 14559425290 29118850580 36398563225 42222333341 58237701160 72797126450 84444666682 145594252900 168889333364 181992816125 211111666705 291188505800 337778666728 363985632250 422223333410 727971264500 844446666820 1055558333525 1455942529000 1688893333640 2111116667050 4222233334100 5277791667625 8444466668200 10555583335250 21111166670500 42222333341000