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320023342144 = 26112116413361
BaseRepresentation
bin1001010100000101110…
…00001010110001000000
31010121000222101012101201
410222002320022301000
520220401433422034
6403003334510544
732056322345212
oct4520270126100
91117028335351
10320023342144
111137a2919650
1252033205454
13242412b9c5c
14116bc5825b2
1584d04db014
hex4a82e0ac40

320023342144 has 112 divisors (see below), whose sum is σ = 697354431552. Its totient is φ = 144506880000.

The previous prime is 320023342087. The next prime is 320023342147. The reversal of 320023342144 is 441243320023.

It is not an unprimeable number, because it can be changed into a prime (320023342147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 95215024 + ... + 95218384.

Almost surely, 2320023342144 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 320023342144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348677215776).

320023342144 is an abundant number, since it is smaller than the sum of its proper divisors (377331089408).

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

320023342144 is a wasteful number, since it uses less digits than its factorization.

320023342144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4236 (or 4226 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 320023342144 its reverse (441243320023), we get a palindrome (761266662167).

The spelling of 320023342144 in words is "three hundred twenty billion, twenty-three million, three hundred forty-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 176 211 352 422 641 704 844 1282 1688 2321 2564 3361 3376 4642 5128 6722 6752 7051 9284 10256 13444 13504 14102 18568 20512 26888 28204 36971 37136 41024 53776 56408 73942 74272 107552 112816 135251 147884 148544 215104 225632 270502 295768 451264 541004 591536 709171 1082008 1183072 1418342 1487761 2154401 2164016 2366144 2836684 2975522 4308802 4328032 5673368 5951044 7800881 8617604 8656064 11346736 11902088 15601762 17235208 22693472 23698411 23804176 31203524 34470416 45386944 47396822 47608352 62407048 68940832 94793644 95216704 124814096 137881664 189587288 249628192 379174576 454578611 499256384 758349152 909157222 1516698304 1818314444 3636628888 5000364721 7273257776 10000729442 14546515552 20001458884 29093031104 40002917768 80005835536 160011671072 320023342144