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42304311340324 = 221117257220064459
BaseRepresentation
bin10011001111001101111010…
…11100110010110100100100
312112210020211012020200002221
421213212331130302310210
521021103212200342244
6225550155441242124
711624246162211445
oct1147467534626444
9175706735220087
1042304311340324
1112530180975a30
1248b2a38333344
131a7b382c1a887
14a6377a9072cc
154d5673b2c784
hex2679bd732d24

42304311340324 has 48 divisors (see below), whose sum is σ = 85846265588160. Its totient is φ = 18027680399360.

The previous prime is 42304311340279. The next prime is 42304311340339.

42304311340324 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a self number, because there is not a number n which added to its sum of digits gives 42304311340324.

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, 109839994 + ... + 110224465.

It is an arithmetic number, because the mean of its divisors is an integer number (1788463866420).

Almost surely, 242304311340324 is an apocalyptic number.

42304311340324 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42304311340324 is an abundant number, since it is smaller than the sum of its proper divisors (43541954247836).

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

42304311340324 is a wasteful number, since it uses less digits than its factorization.

42304311340324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220064748 (or 220064746 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 34.

It can be divided in two parts, 4230431 and 1340324, that added together give a palindrome (5570755).

The spelling of 42304311340324 in words is "forty-two trillion, three hundred four billion, three hundred eleven million, three hundred forty thousand, three hundred twenty-four".

Divisors: 1 2 4 11 17 22 34 44 68 187 257 374 514 748 1028 2827 4369 5654 8738 11308 17476 48059 96118 192236 220064459 440128918 880257836 2420709049 3741095803 4841418098 7482191606 9682836196 14964383212 41152053833 56556565963 82304107666 113113131926 164608215332 226226263852 622122225593 961461621371 1244244451186 1922923242742 2488488902372 3845846485484 10576077835081 21152155670162 42304311340324