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3420342044004 = 22319233517112451
BaseRepresentation
bin110001110001011100010…
…001011100010101100100
3110002222111111222112212010
4301301130101130111210
5422014330030402004
611135141120154220
7502053156451614
oct61613421342544
913088444875763
103420342044004
1110a9616a08896
12472a75768970
131ba6c9674972
14bb78c97aa44
155de86e1ea89
hex31c5c45c564

3420342044004 has 96 divisors (see below), whose sum is σ = 8439204533760. Its totient is φ = 1075178016000.

The previous prime is 3420342043981. The next prime is 3420342044017. The reversal of 3420342044004 is 4004402430243.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 274697979 + ... + 274710429.

It is an arithmetic number, because the mean of its divisors is an integer number (87908380560).

Almost surely, 23420342044004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3420342044004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4219602266880).

3420342044004 is an abundant number, since it is smaller than the sum of its proper divisors (5018862489756).

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

3420342044004 is a wasteful number, since it uses less digits than its factorization.

3420342044004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17881 (or 17879 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 30.

Adding to 3420342044004 its reverse (4004402430243), we get a palindrome (7424744474247).

The spelling of 3420342044004 in words is "three trillion, four hundred twenty billion, three hundred forty-two million, forty-four thousand, four".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 228 233 466 699 932 1398 2796 4427 5171 8854 10342 12451 13281 15513 17708 20684 24902 26562 31026 37353 49804 53124 62052 74706 98249 149412 196498 236569 294747 392996 473138 589494 709707 946276 1178988 1204843 1419414 2409686 2838828 2901083 3614529 4819372 5802166 7229058 8703249 11604332 14458116 17406498 22892017 34812996 45784034 55120577 64384121 68676051 91568068 110241154 128768242 137352102 165361731 193152363 220482308 257536484 274704204 330723462 386304726 661446924 772609452 1223298299 2446596598 3669894897 4893193196 7339789794 14679579588 15001500193 30003000386 45004500579 60006000772 90009001158 180018002316 285028503667 570057007334 855085511001 1140114014668 1710171022002 3420342044004