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434214371540 = 22597821272621
BaseRepresentation
bin1100101000110010011…
…00011000000011010100
31112111210010221112021202
412110121030120003110
524103232334342130
6531250400532032
743241144155235
oct6243114300324
91474703845252
10434214371540
11158170769114
12701a1621018
1331c3bb716c1
141703220508c
15b4654e0145
hex65193180d4

434214371540 has 48 divisors (see below), whose sum is σ = 922376188944. Its totient is φ = 171685171200.

The previous prime is 434214371489. The next prime is 434214371551. The reversal of 434214371540 is 45173412434.

It can be written as a sum of positive squares in 8 ways, for example, as 73068304 + 434141303236 = 8548^2 + 658894^2 .

It is a junction number, because it is equal to n+sod(n) for n = 434214371494 and 434214371503.

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, 1456430 + ... + 1729050.

It is an arithmetic number, because the mean of its divisors is an integer number (19216170603).

Almost surely, 2434214371540 is an apocalyptic number.

It is an amenable number.

434214371540 is an abundant number, since it is smaller than the sum of its proper divisors (488161817404).

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

434214371540 is a wasteful number, since it uses less digits than its factorization.

434214371540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273548 (or 273546 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 38.

Adding to 434214371540 its reverse (45173412434), we get a palindrome (479387783974).

The spelling of 434214371540 in words is "four hundred thirty-four billion, two hundred fourteen million, three hundred seventy-one thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 97 194 388 485 821 970 1642 1940 3284 4105 8210 16420 79637 159274 272621 318548 398185 545242 796370 1090484 1363105 1592740 2726210 5452420 26444237 52888474 105776948 132221185 223821841 264442370 447643682 528884740 895287364 1119109205 2238218410 4476436820 21710718577 43421437154 86842874308 108553592885 217107185770 434214371540