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42340303104 = 283115984947
BaseRepresentation
bin100111011011101011…
…011100000100000000
311001021202202020211020
4213123223130010000
51143203104144404
631241215345440
73026142431631
oct473353340400
9131252666736
1042340303104
1116a57aa7440
128257822280
133cb9b991b8
14209932b888
15117c1b9ed9
hex9dbadc100

42340303104 has 144 divisors (see below), whose sum is σ = 125016272640. Its totient is φ = 12612782080.

The previous prime is 42340303091. The next prime is 42340303147. The reversal of 42340303104 is 40130304324.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 455959 + ... + 540905.

It is an arithmetic number, because the mean of its divisors is an integer number (868168560).

Almost surely, 242340303104 is an apocalyptic number.

42340303104 is a gapful number since it is divisible by the number (44) 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 42340303104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62508136320).

42340303104 is an abundant number, since it is smaller than the sum of its proper divisors (82675969536).

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

42340303104 is a wasteful number, since it uses less digits than its factorization.

42340303104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85036 (or 85022 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 42340303104 its reverse (40130304324), we get a palindrome (82470607428).

The spelling of 42340303104 in words is "forty-two billion, three hundred forty million, three hundred three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 59 64 66 88 96 118 128 132 176 177 192 236 256 264 352 354 384 472 528 649 704 708 768 944 1056 1298 1408 1416 1888 1947 2112 2596 2816 2832 3776 3894 4224 5192 5664 7552 7788 8448 10384 11328 15104 15576 20768 22656 31152 41536 45312 62304 83072 84947 124608 166144 169894 249216 254841 339788 498432 509682 679576 934417 1019364 1359152 1868834 2038728 2718304 2803251 3737668 4077456 5011873 5436608 5606502 7475336 8154912 10023746 10873216 11213004 14950672 15035619 16309824 20047492 21746432 22426008 29901344 30071238 32619648 40094984 44852016 55130603 59802688 60142476 65239296 80189968 89704032 110261206 119605376 120284952 160379936 165391809 179408064 220522412 239210752 240569904 320759872 330783618 358816128 441044824 481139808 641519744 661567236 717632256 882089648 962279616 1283039488 1323134472 1764179296 1924559232 2646268944 3528358592 3849118464 5292537888 7056717184 10585075776 14113434368 21170151552 42340303104