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1036340478824 = 2372343163114797
BaseRepresentation
bin11110001010010101011…
…01001100001101101000
310200001222100110000200012
433011022231030031220
5113434411130310244
62112031021031052
7134605324503620
oct17051255141550
93601870400605
101036340478824
1136a567201572
12148a243b5488
137695a12ac51
14382329ad880
151be56d3089e
hexf14ab4c368

1036340478824 has 128 divisors (see below), whose sum is σ = 2385741219840. Its totient is φ = 412406007552.

The previous prime is 1036340478793. The next prime is 1036340478913. The reversal of 1036340478824 is 4288740436301.

It is a super-3 number, since 3×10363404788243 (a number of 37 digits) contains 333 as substring.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 8970194 + ... + 9084990.

It is an arithmetic number, because the mean of its divisors is an integer number (18638603280).

Almost surely, 21036340478824 is an apocalyptic number.

1036340478824 is a gapful number since it is divisible by the number (14) 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 1036340478824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1192870609920).

1036340478824 is an abundant number, since it is smaller than the sum of its proper divisors (1349400741016).

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

1036340478824 is a wasteful number, since it uses less digits than its factorization.

1036340478824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115039 (or 115035 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 50.

The spelling of 1036340478824 in words is "one trillion, thirty-six billion, three hundred forty million, four hundred seventy-eight thousand, eight hundred twenty-four".

Divisors: 1 2 4 7 8 14 23 28 43 46 56 86 92 161 163 172 184 301 322 326 344 602 644 652 989 1141 1204 1288 1304 1978 2282 2408 3749 3956 4564 6923 7009 7498 7912 9128 13846 14018 14996 26243 27692 28036 29992 49063 52486 55384 56072 98126 104972 114797 161207 196252 209944 229594 322414 392504 459188 644828 803579 918376 1128449 1289656 1607158 2256898 2640331 3214316 4513796 4936271 5280662 6428632 9027592 9872542 10561324 18482317 18711911 19745084 21122648 34553897 36964634 37423822 39490168 69107794 73929268 74847644 113534233 130983377 138215588 147858536 149695288 227068466 261966754 276431176 430373953 454136932 523933508 794739631 804612173 860747906 908273864 1047867016 1589479262 1609224346 1721495812 3012617671 3178958524 3218448692 3442991624 5632285211 6025235342 6357917048 6436897384 11264570422 12050470684 18506079979 22529140844 24100941368 37012159958 45058281688 74024319916 129542559853 148048639832 259085119706 518170239412 1036340478824