Search a number
-
+
422124130001400 = 233523122694845699
BaseRepresentation
bin101111111111010110110111…
…0110100011110000111111000
32001100121200011102001220002220
41133332231232310132013320
5420312040204240021100
64053441052002524040
7154625314312036161
oct13776555664360770
92040550142056086
10422124130001400
111125579246a5832
123b416599066620
1315170199abac08
147634cb9db2768
1533c063d7ebaa0
hex17feb6ed1e1f8

422124130001400 has 96 divisors (see below), whose sum is σ = 1350797216064000. Its totient is φ = 108935259350400.

The previous prime is 422124130001393. The next prime is 422124130001447. The reversal of 422124130001400 is 4100031421224.

It is a super-2 number, since 2×4221241300014002 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11347404250 + ... + 11347441449.

It is an arithmetic number, because the mean of its divisors is an integer number (14070804334000).

Almost surely, 2422124130001400 is an apocalyptic number.

422124130001400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

422124130001400 is an abundant number, since it is smaller than the sum of its proper divisors (928673086062600).

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

422124130001400 is a wasteful number, since it uses less digits than its factorization.

422124130001400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22694845749 (or 22694845740 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 422124130001400 its reverse (4100031421224), we get a palindrome (426224161422624).

The spelling of 422124130001400 in words is "four hundred twenty-two trillion, one hundred twenty-four billion, one hundred thirty million, one thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 31 40 50 60 62 75 93 100 120 124 150 155 186 200 248 300 310 372 465 600 620 744 775 930 1240 1550 1860 2325 3100 3720 4650 6200 9300 18600 22694845699 45389691398 68084537097 90779382796 113474228495 136169074194 181558765592 226948456990 272338148388 340422685485 453896913980 544676296776 567371142475 680845370970 703540216669 907793827960 1134742284950 1361690741940 1407080433338 1702113427425 2110620650007 2269484569900 2723381483880 2814160866676 3404226854850 3517701083345 4221241300014 4538969139800 5628321733352 6808453709700 7035402166690 8442482600028 10553103250035 13616907419400 14070804333380 16884965200056 17588505416725 21106206500070 28141608666760 35177010833450 42212413000140 52765516250175 70354021666900 84424826000280 105531032500350 140708043333800 211062065000700 422124130001400