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19340710144 = 28717634871
BaseRepresentation
bin10010000000110010…
…111101000100000000
31211220212221212120221
4102000302331010000
5304102210211034
612515054312424
71253165216020
oct220062750400
954825855527
1019340710144
118225365878
1238b91b8714
131a92c203b2
14d16907a80
15782e3abb4
hex480cbd100

19340710144 has 72 divisors (see below), whose sum is σ = 46716421248. Its totient is φ = 7801282560.

The previous prime is 19340710019. The next prime is 19340710153. The reversal of 19340710144 is 44101704391.

It is a happy number.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 286972 + ... + 347899.

It is an arithmetic number, because the mean of its divisors is an integer number (648839184).

Almost surely, 219340710144 is an apocalyptic number.

19340710144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

19340710144 is an abundant number, since it is smaller than the sum of its proper divisors (27375711104).

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

19340710144 is an equidigital number, since it uses as much as digits as its factorization.

19340710144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 634911 (or 634897 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 34.

The spelling of 19340710144 in words is "nineteen billion, three hundred forty million, seven hundred ten thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 64 68 112 119 128 136 224 238 256 272 448 476 544 896 952 1088 1792 1904 2176 3808 4352 7616 15232 30464 634871 1269742 2539484 4444097 5078968 8888194 10157936 10792807 17776388 20315872 21585614 35552776 40631744 43171228 71105552 75549649 81263488 86342456 142211104 151099298 162526976 172684912 284422208 302198596 345369824 568844416 604397192 690739648 1137688832 1208794384 1381479296 2417588768 2762958592 4835177536 9670355072 19340710144