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434130220140 = 22358387174743
BaseRepresentation
bin1100101000101000010…
…11010111010001101100
31112111120021121012021020
412110110023113101230
524103044314021030
6531234153134140
743236102662001
oct6242413272154
91474507535236
10434130220140
11158128211a01
12701793ba350
1331c275b9886
1417024d7b8a8
15b45ce1b510
hex65142d746c

434130220140 has 48 divisors (see below), whose sum is σ = 1230209987328. Its totient is φ = 114373261504.

The previous prime is 434130220127. The next prime is 434130220159. The reversal of 434130220140 is 41022031434.

It is a self number, because there is not a number n which added to its sum of digits gives 434130220140.

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, 43582392 + ... + 43592351.

It is an arithmetic number, because the mean of its divisors is an integer number (25629374736).

Almost surely, 2434130220140 is an apocalyptic number.

It is an amenable number.

434130220140 is an abundant number, since it is smaller than the sum of its proper divisors (796079767188).

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

434130220140 is a wasteful number, since it uses less digits than its factorization.

434130220140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87174838 (or 87174836 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 434130220140 its reverse (41022031434), we get a palindrome (475152251574).

The spelling of 434130220140 in words is "four hundred thirty-four billion, one hundred thirty million, two hundred twenty thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 83 166 249 332 415 498 830 996 1245 1660 2490 4980 87174743 174349486 261524229 348698972 435873715 523048458 871747430 1046096916 1307621145 1743494860 2615242290 5230484580 7235503669 14471007338 21706511007 28942014676 36177518345 43413022014 72355036690 86826044028 108532555035 144710073380 217065110070 434130220140