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320012342144 = 27111371658989
BaseRepresentation
bin1001010100000100011…
…10001101001110000000
31010121000012200100020022
410222002032031032000
520220341124422034
6403002303033012
732056130012225
oct4520216151600
91117005610208
10320012342144
11113797696140
125202b59b768
132423bc38191
14116bad1b94c
1584ce566b2e
hex4a8238d380

320012342144 has 64 divisors (see below), whose sum is σ = 700558297200. Its totient is φ = 144398315520.

The previous prime is 320012342101. The next prime is 320012342147. The reversal of 320012342144 is 441243210023.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320012342147) 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, 636599 + ... + 1022390.

Almost surely, 2320012342144 is an apocalyptic number.

It is an amenable number.

320012342144 is an abundant number, since it is smaller than the sum of its proper divisors (380545955056).

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

320012342144 is a wasteful number, since it uses less digits than its factorization.

320012342144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1659151 (or 1659139 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 320012342144 its reverse (441243210023), we get a palindrome (761255552167).

The spelling of 320012342144 in words is "three hundred twenty billion, twelve million, three hundred forty-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 137 176 274 352 548 704 1096 1408 1507 2192 3014 4384 6028 8768 12056 17536 24112 48224 96448 192896 1658989 3317978 6635956 13271912 18248879 26543824 36497758 53087648 72995516 106175296 145991032 212350592 227281493 291982064 454562986 583964128 909125972 1167928256 1818251944 2335856512 2500096423 3636503888 5000192846 7273007776 10000385692 14546015552 20000771384 29092031104 40001542768 80003085536 160006171072 320012342144