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1004244320144 = 2413231371532243
BaseRepresentation
bin11101001110100011010…
…00000011111110010000
310120000010111212020011102
432213101220003332100
5112423143021221034
62045202105003532
7132361052610152
oct16472150037620
93500114766142
101004244320144
1135799681349a
121427674835a8
13739136c1590
1436869dd8ad2
151b1c919c97e
hexe9d1a03f90

1004244320144 has 80 divisors (see below), whose sum is σ = 2202459783552. Its totient is φ = 440108934144.

The previous prime is 1004244320143. The next prime is 1004244320147. The reversal of 1004244320144 is 4410234424001.

It is not an unprimeable number, because it can be changed into a prime (1004244320143) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 110714 + ... + 1421529.

Almost surely, 21004244320144 is an apocalyptic number.

It is an amenable number.

1004244320144 is an abundant number, since it is smaller than the sum of its proper divisors (1198215463408).

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

1004244320144 is a wasteful number, since it uses less digits than its factorization.

1004244320144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1532424 (or 1532418 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 29.

Adding to 1004244320144 its reverse (4410234424001), we get a palindrome (5414478744145).

The spelling of 1004244320144 in words is "one trillion, four billion, two hundred forty-four million, three hundred twenty thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 16 23 26 46 52 92 104 137 184 208 274 299 368 548 598 1096 1196 1781 2192 2392 3151 3562 4784 6302 7124 12604 14248 25208 28496 40963 50416 81926 163852 327704 655408 1532243 3064486 6128972 12257944 19919159 24515888 35241589 39838318 70483178 79676636 140966356 159353272 209917291 281932712 318706544 419834582 458140657 563865424 839669164 916281314 1679338328 1832562628 2728924783 3358676656 3665125256 4828097693 5457849566 7330250512 9656195386 10915699132 19312390772 21831398264 38624781544 43662796528 62765270009 77249563088 125530540018 251061080036 502122160072 1004244320144