Search a number
-
+
310311443424 = 25323197713399
BaseRepresentation
bin1001000010000000000…
…00001101101111100000
31002122222010201121221010
410201000000031233200
520041004212142144
6354315523100520
731263543514533
oct4410000155740
91078863647833
10310311443424
1110a6697a1374
1250182811740
13233541c2718
141103a7b6a1a
158112a8b5b9
hex484000dbe0

310311443424 has 96 divisors (see below), whose sum is σ = 854299353600. Its totient is φ = 98437509632.

The previous prime is 310311443399. The next prime is 310311443459. The reversal of 310311443424 is 424344113013.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 310311443391 and 310311443400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78277 + ... + 791675.

It is an arithmetic number, because the mean of its divisors is an integer number (8898951600).

Almost surely, 2310311443424 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 310311443424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427149676800).

310311443424 is an abundant number, since it is smaller than the sum of its proper divisors (543987910176).

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

310311443424 is a wasteful number, since it uses less digits than its factorization.

310311443424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 713632 (or 713624 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 310311443424 its reverse (424344113013), we get a palindrome (734655556437).

The spelling of 310311443424 in words is "three hundred ten billion, three hundred eleven million, four hundred forty-three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 69 92 96 138 184 197 276 368 394 552 591 736 788 1104 1182 1576 2208 2364 3152 4531 4728 6304 9062 9456 13593 18124 18912 27186 36248 54372 72496 108744 144992 217488 434976 713399 1426798 2140197 2853596 4280394 5707192 8560788 11414384 16408177 17121576 22828768 32816354 34243152 49224531 65632708 68486304 98449062 131265416 140539603 196898124 262530832 281079206 393796248 421618809 525061664 562158412 787592496 843237618 1124316824 1575184992 1686475236 2248633648 3232410869 3372950472 4497267296 6464821738 6745900944 9697232607 12929643476 13491801888 19394465214 25859286952 38788930428 51718573904 77577860856 103437147808 155155721712 310311443424