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42330411403324 = 221129397716372053
BaseRepresentation
bin10011001111111110100010…
…01000101000100000111100
312112212202012011010020122221
421213333101020220200330
521022020140304401244
6230010153400215124
711626162025120542
oct1147772110504074
9175782164106587
1042330411403324
111254025475a630
1248b7b0116a4a4
131a80982327635
14a64b35007d92
154d61a0199784
hex267fd122883c

42330411403324 has 96 divisors (see below), whose sum is σ = 81260559446976. Its totient is φ = 19134773268480.

The previous prime is 42330411403321. The next prime is 42330411403327.

42330411403324 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (42330411403321) and next prime (42330411403327).

It is a self number, because there is not a number n which added to its sum of digits gives 42330411403324.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42330411403321) 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, 20618806282 + ... + 20618808334.

It is an arithmetic number, because the mean of its divisors is an integer number (846464160906).

Almost surely, 242330411403324 is an apocalyptic number.

42330411403324 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42330411403324 is a deficient number, since it is larger than the sum of its proper divisors (38930148043652).

42330411403324 is a wasteful number, since it uses less digits than its factorization.

42330411403324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4975 (or 4973 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 34.

It can be divided in two parts, 4233041 and 1403324, that added together give a palindrome (5636365).

The spelling of 42330411403324 in words is "forty-two trillion, three hundred thirty billion, four hundred eleven million, four hundred three thousand, three hundred twenty-four".

Divisors: 1 2 4 11 22 44 293 586 977 1172 1637 1954 2053 3223 3274 3908 4106 6446 6548 8212 10747 12892 18007 21494 22583 36014 42988 45166 72028 90332 286261 479641 572522 601529 959282 1145044 1203058 1599349 1918564 2005781 2406116 3148871 3198698 3360761 4011562 5276051 6297742 6397396 6616819 6721522 8023124 10552102 12595484 13233638 13443044 17592839 21104204 22063591 26467276 35185678 36968371 44127182 70371356 73936742 88254364 147873484 468609257 587693833 937218514 984702973 1175387666 1874437028 1969405946 2350775332 3283463497 3938811892 5154701827 6464632163 6566926994 10309403654 10831732703 12929264326 13133853988 20618807308 21663465406 25858528652 36118098467 43326930812 72236196934 144472393868 962054804621 1924109609242 3848219218484 10582602850831 21165205701662 42330411403324