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1040324201004 = 2231119617672289
BaseRepresentation
bin11110010001110000010…
…01111000101000101100
310200110020222112002011010
433020320021320220230
5114021040443413004
62113530210025220
7135106126543164
oct17107011705054
93613228462133
101040324201004
11371220987a50
12149756578210
13771435704ca
14384cdac75a4
151c0db93ca89
hexf238278a2c

1040324201004 has 96 divisors (see below), whose sum is σ = 2791993478400. Its totient is φ = 298173173760.

The previous prime is 1040324200991. The next prime is 1040324201009. The reversal of 1040324201004 is 4001024230401.

It is a super-2 number, since 2×10403242010042 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1040324201009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1211292 + ... + 1883580.

It is an arithmetic number, because the mean of its divisors is an integer number (29083265400).

Almost surely, 21040324201004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1040324201004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1395996739200).

1040324201004 is an abundant number, since it is smaller than the sum of its proper divisors (1751669277396).

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

1040324201004 is a wasteful number, since it uses less digits than its factorization.

1040324201004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 672943 (or 672941 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 1040324201004 its reverse (4001024230401), we get a palindrome (5041348431405).

The spelling of 1040324201004 in words is "one trillion, forty billion, three hundred twenty-four million, two hundred one thousand, four".

Divisors: 1 2 3 4 6 11 12 19 22 33 38 44 57 66 76 114 132 209 228 418 617 627 836 1234 1254 1851 2468 2508 3702 6787 7404 11723 13574 20361 23446 27148 35169 40722 46892 70338 81444 128953 140676 257906 386859 515812 672289 773718 1344578 1547436 2016867 2689156 4033734 7395179 8067468 12773491 14790358 22185537 25546982 29580716 38320473 44371074 51093964 76640946 88742148 140508401 153281892 281016802 414802313 421525203 562033604 829604626 843050406 1244406939 1659209252 1686100812 2488813878 4562825443 4977627756 7881243947 9125650886 13688476329 15762487894 18251301772 23643731841 27376952658 31524975788 47287463682 54753905316 86693683417 94574927364 173387366834 260081050251 346774733668 520162100502 1040324201004