Search a number
-
+
42422121400 = 2352241880127
BaseRepresentation
bin100111100000100011…
…100011001110111000
311001111110201001102111
4213200203203032320
51143340030341100
631253301142104
73031155040141
oct474043431670
9131443631374
1042422121400
1116a9a1aa76a
12827b0ba934
134000b150a9
1420a6148ac8
15118447c6ba
hex9e08e33b8

42422121400 has 48 divisors (see below), whose sum is σ = 99040803840. Its totient is φ = 16898419200.

The previous prime is 42422121383. The next prime is 42422121407. The reversal of 42422121400 is 412122424.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42422121407) 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 11 ways as a sum of consecutive naturals, for example, 391864 + ... + 488263.

It is an arithmetic number, because the mean of its divisors is an integer number (2063350080).

Almost surely, 242422121400 is an apocalyptic number.

42422121400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42422121400 is an abundant number, since it is smaller than the sum of its proper divisors (56618682440).

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

42422121400 is a wasteful number, since it uses less digits than its factorization.

42422121400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 880384 (or 880375 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

Adding to 42422121400 its product of nonzero digits (1024), we get a palindrome (42422122424).

Adding to 42422121400 its reverse (412122424), we get a palindrome (42834243824).

The spelling of 42422121400 in words is "forty-two billion, four hundred twenty-two million, one hundred twenty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 241 482 964 1205 1928 2410 4820 6025 9640 12050 24100 48200 880127 1760254 3520508 4400635 7041016 8801270 17602540 22003175 35205080 44006350 88012700 176025400 212110607 424221214 848442428 1060553035 1696884856 2121106070 4242212140 5302765175 8484424280 10605530350 21211060700 42422121400