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422030413200144 = 243719135918317941
BaseRepresentation
bin101111111110101011001110…
…0110111001111101100010000
32001100021201021010101010011210
41133331112130313033230100
5420304021241234401034
64053330032330340120
7154615456031261310
oct13775263467175420
92040251233333153
10422030413200144
11112521102a39971
123b4003a358a640
13151643b2c41868
1476305495dd440
1533bcea5eda8e9
hex17fd59cdcfb10

422030413200144 has 160 divisors (see below), whose sum is σ = 1256007061831680. Its totient is φ = 119614682764800.

The previous prime is 422030413200131. The next prime is 422030413200229. The reversal of 422030413200144 is 441002314030224.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13880214 + ... + 32198154.

It is an arithmetic number, because the mean of its divisors is an integer number (7850044136448).

Almost surely, 2422030413200144 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 422030413200144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (628003530915840).

422030413200144 is an abundant number, since it is smaller than the sum of its proper divisors (833976648631536).

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

422030413200144 is a wasteful number, since it uses less digits than its factorization.

422030413200144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18318509 (or 18318503 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 422030413200144 its reverse (441002314030224), we get a palindrome (863032727230368).

The spelling of 422030413200144 in words is "four hundred twenty-two trillion, thirty billion, four hundred thirteen million, two hundred thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 191 336 359 382 573 718 764 1077 1146 1337 1436 1528 2154 2292 2513 2674 2872 3056 4011 4308 4584 5026 5348 5744 7539 8022 8616 9168 10052 10696 15078 16044 17232 20104 21392 30156 32088 40208 60312 64176 68569 120624 137138 205707 274276 411414 479983 548552 822828 959966 1097104 1439949 1645656 1919932 2879898 3291312 3839864 5759796 7679728 11519592 18317941 23039184 36635882 54953823 73271764 109907646 128225587 146543528 219815292 256451174 293087056 384676761 439630584 512902348 769353522 879261168 1025804696 1538707044 2051609392 3077414088 3498726731 6154828176 6576140819 6997453462 10496180193 13152281638 13994906924 19728422457 20992360386 24491087117 26304563276 27989813848 39456844914 41984720772 46032985733 48982174234 52609126552 55979627696 73473261351 78913689828 83969441544 92065971466 97964348468 105218253104 138098957199 146946522702 157827379656 167938883088 184131942932 195928696936 276197914398 293893045404 315654759312 368263885864 391857393872 552395828796 587786090808 736527771728 1104791657592 1175572181616 1256042896429 2209583315184 2512085792858 3768128689287 5024171585716 7536257378574 8792300275003 10048343171432 15072514757148 17584600550006 20096686342864 26376900825009 30145029514296 35169201100012 52753801650018 60290059028592 70338402200024 105507603300036 140676804400048 211015206600072 422030413200144