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319829466141432 = 23341337966460843
BaseRepresentation
bin100100010111000100001100…
…1101101111101001011111000
31112221102101202101212111010000
41020232020121231331023320
5313410041221313011212
63052115343421553000
7124236626215600602
oct11056103155751370
91487371671774100
10319829466141432
11929a8a07777565
122ba55115115760
131095ca34c83320
1458d9b86170172
1526e97720941dc
hex122e219b7d2f8

319829466141432 has 80 divisors (see below), whose sum is σ = 964727770046040. Its totient is φ = 98409066502464.

The previous prime is 319829466141421. The next prime is 319829466141439. The reversal of 319829466141432 is 234141664928913.

319829466141432 is a `hidden beast` number, since 3 + 1 + 9 + 8 + 2 + 9 + 4 + 6 + 614 + 1 + 4 + 3 + 2 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 319829466141432.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (319829466141439) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 18983221998 + ... + 18983238845.

Almost surely, 2319829466141432 is an apocalyptic number.

It is an amenable number.

319829466141432 is an abundant number, since it is smaller than the sum of its proper divisors (644898303904608).

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

319829466141432 is a wasteful number, since it uses less digits than its factorization.

319829466141432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37966460874 (or 37966460861 counting only the distinct ones).

The product of its digits is 53747712, while the sum is 63.

The spelling of 319829466141432 in words is "three hundred nineteen trillion, eight hundred twenty-nine billion, four hundred sixty-six million, one hundred forty-one thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 81 104 108 117 156 162 216 234 312 324 351 468 648 702 936 1053 1404 2106 2808 4212 8424 37966460843 75932921686 113899382529 151865843372 227798765058 303731686744 341698147587 455597530116 493563990959 683396295174 911195060232 987127981918 1025094442761 1366792590348 1480691972877 1974255963836 2050188885522 2733585180696 2961383945754 3075283328283 3948511927672 4100377771044 4442075918631 5922767891508 6150566656566 8200755542088 8884151837262 11845535783016 12301133313132 13326227755893 17768303674524 24602266626264 26652455511786 35536607349048 39978683267679 53304911023572 79957366535358 106609822047144 159914733070716 319829466141432