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422422141224224 = 25103012811145587
BaseRepresentation
bin110000000001100001101000…
…1101011000100010100100000
32001101200011101022202120110002
41200003003101223010110200
5420331431021123133344
64054230015213355132
7154655664310451411
oct14003032153042440
92041604338676402
10422422141224224
11112662251220329
123b4642a8498aa8
13151923108a179b
1476454aad3b808
1533c82815b344e
hex18030d1ac4520

422422141224224 has 48 divisors (see below), whose sum is σ = 831772157360256. Its totient is φ = 211178421408000.

The previous prime is 422422141224179. The next prime is 422422141224229.

422422141224224 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (422422141224229) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9266262359 + ... + 9266307945.

It is an arithmetic number, because the mean of its divisors is an integer number (17328586611672).

Almost surely, 2422422141224224 is an apocalyptic number.

It is an amenable number.

422422141224224 is a deficient number, since it is larger than the sum of its proper divisors (409350016136032).

422422141224224 is a wasteful number, since it uses less digits than its factorization.

422422141224224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84009 (or 84001 counting only the distinct ones).

The product of its digits is 262144, while the sum is 38.

The spelling of 422422141224224 in words is "four hundred twenty-two trillion, four hundred twenty-two billion, one hundred forty-one million, two hundred twenty-four thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 32 10301 20602 28111 41204 45587 56222 82408 91174 112444 164816 182348 224888 329632 364696 449776 729392 899552 1458784 289571411 469591687 579142822 939183374 1158285644 1281496157 1878366748 2316571288 2562992314 3756733496 4633142576 5125984628 7513466992 9266285152 10251969256 15026933984 20503938512 41007877024 13200691913257 26401383826514 52802767653028 105605535306056 211211070612112 422422141224224