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4420434044304 = 2432435091402543
BaseRepresentation
bin100000001010011011001…
…1001101010010110010000
3120122120220122112002000200
41000110312121222112100
51034411022103404204
613222415214415200
7634236322264245
oct100246631522620
916576818462020
104420434044304
111454771860993
125b4862501500
13260acaa12a45
14113d432d15cc
1579ebb7aa539
hex4053666a590

4420434044304 has 120 divisors (see below), whose sum is σ = 12683654206080. Its totient is φ = 1436382533376.

The previous prime is 4420434044297. The next prime is 4420434044329. The reversal of 4420434044304 is 4034404340244.

4420434044304 is a `hidden beast` number, since 4 + 4 + 2 + 0 + 4 + 340 + 4 + 4 + 304 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 23 ways as a sum of consecutive naturals, for example, 2450457 + ... + 3852999.

It is an arithmetic number, because the mean of its divisors is an integer number (105697118384).

Almost surely, 24420434044304 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 4420434044304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6341827103040).

4420434044304 is an abundant number, since it is smaller than the sum of its proper divisors (8263220161776).

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

4420434044304 is a wasteful number, since it uses less digits than its factorization.

4420434044304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1403109 (or 1403100 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 36.

Adding to 4420434044304 its reverse (4034404340244), we get a palindrome (8454838384548).

The spelling of 4420434044304 in words is "four trillion, four hundred twenty billion, four hundred thirty-four million, forty-four thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 43 48 72 86 129 144 172 258 344 387 509 516 688 774 1018 1032 1527 1548 2036 2064 3054 3096 4072 4581 6108 6192 8144 9162 12216 18324 21887 24432 36648 43774 65661 73296 87548 131322 175096 196983 262644 350192 393966 525288 787932 1050576 1402543 1575864 2805086 3151728 4207629 5610172 8415258 11220344 12622887 16830516 22440688 25245774 33661032 50491548 60309349 67322064 100983096 120618698 180928047 201966192 241237396 361856094 482474792 542784141 713894387 723712188 964949584 1085568282 1427788774 1447424376 2141683161 2171136564 2855577548 2894848752 4283366322 4342273128 5711155096 6425049483 8566732644 8684546256 11422310192 12850098966 17133465288 25700197932 30697458641 34266930576 51400395864 61394917282 92092375923 102800791728 122789834564 184184751846 245579669128 276277127769 368369503692 491159338256 552554255538 736739007384 1105108511076 1473478014768 2210217022152 4420434044304