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4441034400420 = 2235139075322301
BaseRepresentation
bin100000010100000001001…
…0001110010001010100100
3120201120002022201121001010
41000220002101302022210
51040230214301303140
613240103311502220
7635565654362442
oct100500221621244
916646068647033
104441034400420
111462483161392
125b8851527970
13262a318ac387
14114d39213b92
157a7c50b4880
hex40a024722a4

4441034400420 has 48 divisors (see below), whose sum is σ = 12435792804288. Its totient is φ = 1184190460800.

The previous prime is 4441034400409. The next prime is 4441034400431. The reversal of 4441034400420 is 240044301444.

It is an interprime number because it is at equal distance from previous prime (4441034400409) and next prime (4441034400431).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1826731 + ... + 3495570.

It is an arithmetic number, because the mean of its divisors is an integer number (259079016756).

Almost surely, 24441034400420 is an apocalyptic number.

It is an amenable number.

4441034400420 is an abundant number, since it is smaller than the sum of its proper divisors (7994758403868).

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

4441034400420 is a wasteful number, since it uses less digits than its factorization.

4441034400420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5336220 (or 5336218 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 30.

Adding to 4441034400420 its reverse (240044301444), we get a palindrome (4681078701864).

The spelling of 4441034400420 in words is "four trillion, four hundred forty-one billion, thirty-four million, four hundred thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 13907 27814 41721 55628 69535 83442 139070 166884 208605 278140 417210 834420 5322301 10644602 15966903 21289204 26611505 31933806 53223010 63867612 79834515 106446020 159669030 319338060 74017240007 148034480014 222051720021 296068960028 370086200035 444103440042 740172400070 888206880084 1110258600105 1480344800140 2220517200210 4441034400420