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13424300040 = 2335375357047
BaseRepresentation
bin11001000000010011…
…01001000000001000
31021122120012002200210
430200021221000020
5204443110100130
610100025201120
7653444444664
oct144011510010
937576162623
1013424300040
115769738348
1227279301a0
13135c270a08
14914c578a4
155388155b0
hex320269008

13424300040 has 128 divisors (see below), whose sum is σ = 42142498560. Its totient is φ = 3417283584.

The previous prime is 13424300027. The next prime is 13424300059. The reversal of 13424300040 is 4000342431.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 206797 + ... + 263843.

It is an arithmetic number, because the mean of its divisors is an integer number (329238270).

Almost surely, 213424300040 is an apocalyptic number.

13424300040 is a gapful number since it is divisible by the number (10) 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 13424300040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21071249280).

13424300040 is an abundant number, since it is smaller than the sum of its proper divisors (28718198520).

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

13424300040 is a wasteful number, since it uses less digits than its factorization.

13424300040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57151 (or 57147 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 13424300040 its reverse (4000342431), we get a palindrome (17424642471).

The spelling of 13424300040 in words is "thirteen billion, four hundred twenty-four million, three hundred thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 37 40 53 60 74 106 111 120 148 159 185 212 222 265 296 318 370 424 444 530 555 636 740 795 888 1060 1110 1272 1480 1590 1961 2120 2220 3180 3922 4440 5883 6360 7844 9805 11766 15688 19610 23532 29415 39220 47064 57047 58830 78440 114094 117660 171141 228188 235320 285235 342282 456376 570470 684564 855705 1140940 1369128 1711410 2110739 2281880 3023491 3422820 4221478 6046982 6332217 6845640 8442956 9070473 10553695 12093964 12664434 15117455 16885912 18140946 21107390 24187928 25328868 30234910 31661085 36281892 42214780 45352365 50657736 60469820 63322170 72563784 84429560 90704730 111869167 120939640 126644340 181409460 223738334 253288680 335607501 362818920 447476668 559345835 671215002 894953336 1118691670 1342430004 1678037505 2237383340 2684860008 3356075010 4474766680 6712150020 13424300040