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4420202224440 = 2335291270173053
BaseRepresentation
bin100000001010010100010…
…0101010101101100111000
3120122120022111022101221210
41000110220211111230320
51034410033232140230
613222340214003120
7634230505661502
oct100245045255470
916576274271853
104420202224440
111454662a15222
125b47b89464a0
13260a91997322
14113d205c8d72
1579ea6267eb0
hex40528955b38

4420202224440 has 64 divisors (see below), whose sum is σ = 13717868983200. Its totient is φ = 1138075054592.

The previous prime is 4420202224387. The next prime is 4420202224483. The reversal of 4420202224440 is 444222020244.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 4420202224398 and 4420202224407.

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 15 ways as a sum of consecutive naturals, for example, 635083047 + ... + 635090006.

Almost surely, 24420202224440 is an apocalyptic number.

4420202224440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4420202224440 is an abundant number, since it is smaller than the sum of its proper divisors (9297666758760).

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

4420202224440 is a wasteful number, since it uses less digits than its factorization.

4420202224440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1270173096 (or 1270173092 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 30.

Adding to 4420202224440 its reverse (444222020244), we get a palindrome (4864424244684).

The spelling of 4420202224440 in words is "four trillion, four hundred twenty billion, two hundred two million, two hundred twenty-four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 29 30 40 58 60 87 116 120 145 174 232 290 348 435 580 696 870 1160 1740 3480 1270173053 2540346106 3810519159 5080692212 6350865265 7621038318 10161384424 12701730530 15242076636 19052595795 25403461060 30484153272 36835018537 38105191590 50806922120 73670037074 76210383180 110505055611 147340074148 152420766360 184175092685 221010111222 294680148296 368350185370 442020222444 552525278055 736700370740 884040444888 1105050556110 1473400741480 2210101112220 4420202224440