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300431142032 = 2476760676599
BaseRepresentation
bin1000101111100110001…
…01110110110010010000
31001201110120012022102112
410113303011312302100
514410240333021112
6350003254004452
730463651400240
oct4276305666220
91051416168375
10300431142032
1110645960272a
124a285946728
132243b254c38
14107804d1b20
157c35474a22
hex45f3176c90

300431142032 has 80 divisors (see below), whose sum is σ = 675382963200. Its totient is φ = 126794346624.

The previous prime is 300431141993. The next prime is 300431142047. The reversal of 300431142032 is 230241134003.

It is a super-2 number, since 2×3004311420322 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 300431141989 and 300431142007.

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, 45523469 + ... + 45530067.

It is an arithmetic number, because the mean of its divisors is an integer number (8442287040).

Almost surely, 2300431142032 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 300431142032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337691481600).

300431142032 is an abundant number, since it is smaller than the sum of its proper divisors (374951821168).

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

300431142032 is a wasteful number, since it uses less digits than its factorization.

300431142032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12748 (or 12742 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 300431142032 its reverse (230241134003), we get a palindrome (530672276035).

The spelling of 300431142032 in words is "three hundred billion, four hundred thirty-one million, one hundred forty-two thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 28 56 67 112 134 268 469 536 938 1072 1876 3752 6067 6599 7504 12134 13198 24268 26396 42469 46193 48536 52792 84938 92386 97072 105584 169876 184772 339752 369544 406489 442133 679504 739088 812978 884266 1625956 1768532 2845423 3094931 3251912 3537064 5690846 6189862 6503824 7074128 11381692 12379724 22763384 24759448 40036133 45526768 49518896 80072266 160144532 280252931 320289064 560505862 640578128 1121011724 2242023448 2682420911 4484046896 5364841822 10729683644 18776946377 21459367288 37553892754 42918734576 75107785508 150215571016 300431142032