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42323414550 = 23521637692251
BaseRepresentation
bin100111011010101011…
…000000111000010110
311001020120222020002020
4213122223000320112
51143134243231200
631235413354010
73025546042104
oct473253007026
9131216866066
1042323414550
1116a4951185a
128252038906
133cb6535081
142096db2c74
15117a980ea0
hex9daac0e16

42323414550 has 96 divisors (see below), whose sum is σ = 105790312320. Its totient is φ = 11197440000.

The previous prime is 42323414543. The next prime is 42323414593. The reversal of 42323414550 is 5541432324.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18800925 + ... + 18803175.

It is an arithmetic number, because the mean of its divisors is an integer number (1101982420).

Almost surely, 242323414550 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42323414550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52895156160).

42323414550 is an abundant number, since it is smaller than the sum of its proper divisors (63466897770).

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

42323414550 is a wasteful number, since it uses less digits than its factorization.

42323414550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3198 (or 3193 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 33.

Adding to 42323414550 its reverse (5541432324), we get a palindrome (47864846874).

The spelling of 42323414550 in words is "forty-two billion, three hundred twenty-three million, four hundred fourteen thousand, five hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 150 163 326 489 769 815 978 1538 1630 2251 2307 2445 3845 4075 4502 4614 4890 6753 7690 8150 11255 11535 12225 13506 19225 22510 23070 24450 33765 38450 56275 57675 67530 112550 115350 125347 168825 250694 337650 366913 376041 626735 733826 752082 1100739 1253470 1731019 1834565 1880205 2201478 3133675 3462038 3669130 3760410 5193057 5503695 6267350 8655095 9172825 9401025 10386114 11007390 17310190 18345650 18802050 25965285 27518475 43275475 51930570 55036950 86550950 129826425 259652850 282156097 564312194 846468291 1410780485 1692936582 2821560970 4232341455 7053902425 8464682910 14107804850 21161707275 42323414550