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42411211304 = 23711197945869
BaseRepresentation
bin100111011111111001…
…111011101000101000
311001110201011202120212
4213133321323220220
51143324232230204
631252231240252
73030663230240
oct473771735050
9131421152525
1042411211304
1116a94028860
128277519088
133ccb795207
1420a4908b20
151183524c6e
hex9dfe7ba28

42411211304 has 128 divisors (see below), whose sum is σ = 105684480000. Its totient is φ = 15455681280.

The previous prime is 42411211303. The next prime is 42411211309. The reversal of 42411211304 is 40311211424.

It is a self number, because there is not a number n which added to its sum of digits gives 42411211304.

It is not an unprimeable number, because it can be changed into a prime (42411211301) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 901682 + ... + 947550.

It is an arithmetic number, because the mean of its divisors is an integer number (825660000).

Almost surely, 242411211304 is an apocalyptic number.

42411211304 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 42411211304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52842240000).

42411211304 is an abundant number, since it is smaller than the sum of its proper divisors (63273268696).

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

42411211304 is a wasteful number, since it uses less digits than its factorization.

42411211304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45991 (or 45987 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

Adding to 42411211304 its reverse (40311211424), we get a palindrome (82722422728).

The spelling of 42411211304 in words is "forty-two billion, four hundred eleven million, two hundred eleven thousand, three hundred four".

Divisors: 1 2 4 7 8 11 14 19 22 28 38 44 56 76 77 79 88 133 152 154 158 209 266 308 316 418 532 553 616 632 836 869 1064 1106 1463 1501 1672 1738 2212 2926 3002 3476 4424 5852 6004 6083 6952 10507 11704 12008 12166 16511 21014 24332 33022 42028 45869 48664 66044 84056 91738 115577 132088 183476 231154 321083 366952 462308 504559 642166 871511 924616 1009118 1284332 1743022 2018236 2568664 3486044 3531913 3623651 4036472 6100577 6972088 7063826 7247302 9586621 12201154 14127652 14494604 19173242 24402308 25365557 28255304 28989208 38346484 39860161 48804616 50731114 67106347 68849369 76692968 79720322 101462228 134212694 137698738 159440644 202924456 268425388 275397476 279021127 318881288 481945583 536850776 550794952 558042254 757343059 963891166 1116084508 1514686118 1927782332 2232169016 3029372236 3855564664 5301401413 6058744472 10602802826 21205605652 42411211304