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301243142032 = 24773347106181
BaseRepresentation
bin1000110001000110111…
…11011000111110010000
31001210120011010012000121
410120203133120332100
514413421221021112
6350220022000024
730523041313210
oct4304337307620
91053504105017
10301243142032
1110683599a308
124a471876014
132253a549b01
141081a2a2240
157c818bc407
hex46237d8f90

301243142032 has 80 divisors (see below), whose sum is σ = 678130918272. Its totient is φ = 126967495680.

The previous prime is 301243142029. The next prime is 301243142051. The reversal of 301243142032 is 230241342103.

It is a junction number, because it is equal to n+sod(n) for n = 301243141988 and 301243142006.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2783982 + ... + 2890162.

Almost surely, 2301243142032 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 301243142032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339065459136).

301243142032 is an abundant number, since it is smaller than the sum of its proper divisors (376887776240).

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

301243142032 is a wasteful number, since it uses less digits than its factorization.

301243142032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106616 (or 106610 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 301243142032 its reverse (230241342103), we get a palindrome (531484484135).

The spelling of 301243142032 in words is "three hundred one billion, two hundred forty-three million, one hundred forty-two thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 28 56 73 112 146 292 347 511 584 694 1022 1168 1388 2044 2429 2776 4088 4858 5552 8176 9716 19432 25331 38864 50662 101324 106181 177317 202648 212362 354634 405296 424724 709268 743267 849448 1418536 1486534 1698896 2837072 2973068 5946136 7751213 11892272 15502426 31004852 36844807 54258491 62009704 73689614 108516982 124019408 147379228 217033964 257913649 294758456 434067928 515827298 589516912 868135856 1031654596 2063309192 2689670911 4126618384 5379341822 10758683644 18827696377 21517367288 37655392754 43034734576 75310785508 150621571016 301243142032