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430140321040 = 24543811154181
BaseRepresentation
bin1100100001001100101…
…11000110110100010000
31112010021012220022122111
412100212113012310100
524021411410233130
6525334223515104
743035164255053
oct6204627066420
91463235808574
10430140321040
1115646aaa7731
126b445158a94
133173cac3931
1416b670d6a9a
15b2c79de02a
hex64265c6d10

430140321040 has 80 divisors (see below), whose sum is σ = 1024602296256. Its totient is φ = 167846515200.

The previous prime is 430140321019. The next prime is 430140321043. The reversal of 430140321040 is 40123041034.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (430140321043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2712750 + ... + 2866930.

Almost surely, 2430140321040 is an apocalyptic number.

430140321040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 430140321040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512301148128).

430140321040 is an abundant number, since it is smaller than the sum of its proper divisors (594461975216).

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

430140321040 is a wasteful number, since it uses less digits than its factorization.

430140321040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155048 (or 155042 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 430140321040 its reverse (40123041034), we get a palindrome (470263362074).

The spelling of 430140321040 in words is "four hundred thirty billion, one hundred forty million, three hundred twenty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 43 80 86 172 215 344 430 688 811 860 1622 1720 3244 3440 4055 6488 8110 12976 16220 32440 34873 64880 69746 139492 154181 174365 278984 308362 348730 557968 616724 697460 770905 1233448 1394920 1541810 2466896 2789840 3083620 6167240 6629783 12334480 13259566 26519132 33148915 53038264 66297830 106076528 125040791 132595660 250081582 265191320 500163164 530382640 625203955 1000326328 1250407910 2000652656 2500815820 5001631640 5376754013 10003263280 10753508026 21507016052 26883770065 43014032104 53767540130 86028064208 107535080260 215070160520 430140321040