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320061454145432 = 23172973314311673
BaseRepresentation
bin100100011000110000001110…
…1010001111101011110011000
31112222020120120001020010210022
41020301200131101331132120
5313422341324230123212
63052414111402010012
7124262451126233516
oct11061403521753630
91488216501203708
10320061454145432
1192a883339755aa
122ba920794a6908
13109788864a16cc
1459070b27114b6
1527007ed935772
hex123181d47d798

320061454145432 has 96 divisors (see below), whose sum is σ = 646010699340720. Its totient is φ = 148614020628480.

The previous prime is 320061454145423. The next prime is 320061454145437. The reversal of 320061454145432 is 234541454160023.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320061454145437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72075548 + ... + 76387220.

Almost surely, 2320061454145432 is an apocalyptic number.

It is an amenable number.

320061454145432 is an abundant number, since it is smaller than the sum of its proper divisors (325949245195288).

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

320061454145432 is a wasteful number, since it uses less digits than its factorization.

320061454145432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4312141 (or 4312120 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 44.

The spelling of 320061454145432 in words is "three hundred twenty trillion, sixty-one billion, four hundred fifty-four million, one hundred forty-five thousand, four hundred thirty-two".

Divisors: 1 2 4 8 17 34 68 97 136 194 289 331 388 578 662 776 1156 1324 1649 2312 2648 3298 5627 6596 11254 13192 22508 28033 32107 45016 56066 64214 95659 112132 128428 191318 224264 256856 382636 545819 765272 1091638 2183276 4311673 4366552 8623346 9278923 17246692 18557846 34493384 37115692 73298441 74231384 146596882 293193764 418232281 586387528 836464562 1246073497 1427163763 1672929124 2492146994 2854327526 3345858248 4984293988 5708655052 7109948777 9968587976 11417310104 14219897554 24261783971 28439795108 48523567942 56879590216 97047135884 120869129209 138434885011 194094271768 241738258418 276869770022 412450327507 483476516836 553739540044 824900655014 966953033672 1107479080088 1649801310028 2353393045187 3299602620056 4706786090374 9413572180748 18827144361496 40007681768179 80015363536358 160030727072716 320061454145432