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1304444044020 = 2235139371784807
BaseRepresentation
bin10010111110110110111…
…011001000001011110100
311121200222221121021120010
4102332312323020023310
5132333000133402040
62435130414540220
7163146224300055
oct22766673101364
94550887537503
101304444044020
11463236724247
12190987807670
1396015a0b8a0
14471c788a72c
1523de915de80
hex12fb6ec82f4

1304444044020 has 96 divisors (see below), whose sum is σ = 3937600574208. Its totient is φ = 320751055872.

The previous prime is 1304444044009. The next prime is 1304444044037. The reversal of 1304444044020 is 204404444031.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 161544 + ... + 1623263.

It is an arithmetic number, because the mean of its divisors is an integer number (41016672648).

Almost surely, 21304444044020 is an apocalyptic number.

1304444044020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1304444044020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1968800287104).

1304444044020 is an abundant number, since it is smaller than the sum of its proper divisors (2633156530188).

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

1304444044020 is a wasteful number, since it uses less digits than its factorization.

1304444044020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1785769 (or 1785767 counting only the distinct ones).

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

Adding to 1304444044020 its reverse (204404444031), we get a palindrome (1508848488051).

The spelling of 1304444044020 in words is "one trillion, three hundred four billion, four hundred forty-four million, forty-four thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 780 937 1874 2811 3748 4685 5622 9370 11244 12181 14055 18740 24362 28110 36543 48724 56220 60905 73086 121810 146172 182715 243620 365430 730860 1784807 3569614 5354421 7139228 8924035 10708842 17848070 21417684 23202491 26772105 35696140 46404982 53544210 69607473 92809964 107088420 116012455 139214946 232024910 278429892 348037365 464049820 696074730 1392149460 1672364159 3344728318 5017092477 6689456636 8361820795 10034184954 16723641590 20068369908 21740734067 25085462385 33447283180 43481468134 50170924770 65222202201 86962936268 100341849540 108703670335 130444404402 217407340670 260888808804 326111011005 434814681340 652222022010 1304444044020