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10040815044 = 22321342735021
BaseRepresentation
bin10010101100111101…
…01010110111000100
3221220202120020211200
421112132222313010
5131030422040134
64340201302500
7503551343151
oct112636526704
927822506750
1010040815044
114292861a57
121b42794a30
13c402aaca0
146b3749228
153db771499
hex2567aadc4

10040815044 has 72 divisors (see below), whose sum is σ = 27345171672. Its totient is φ = 3088143360.

The previous prime is 10040815027. The next prime is 10040815049. The reversal of 10040815044 is 44051804001.

It is a happy number.

10040815044 is a `hidden beast` number, since 100 + 408 + 150 + 4 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 965966400 + 9074848644 = 31080^2 + 95262^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10040814999 and 10040815017.

It is not an unprimeable number, because it can be changed into a prime (10040815049) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1997254 + ... + 2002274.

It is an arithmetic number, because the mean of its divisors is an integer number (379794051).

Almost surely, 210040815044 is an apocalyptic number.

It is an amenable number.

10040815044 is an abundant number, since it is smaller than the sum of its proper divisors (17304356628).

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

10040815044 is a wasteful number, since it uses less digits than its factorization.

10040815044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9317 (or 9312 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The spelling of 10040815044 in words is "ten billion, forty million, eight hundred fifteen thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 4273 5021 8546 10042 12819 15063 17092 20084 25638 30126 38457 45189 51276 55549 60252 65273 76914 90378 111098 130546 153828 166647 180756 195819 222196 261092 333294 391638 499941 587457 666588 783276 999882 1174914 1999764 2349828 21454733 42909466 64364199 85818932 128728398 193092597 257456796 278911529 386185194 557823058 772370388 836734587 1115646116 1673469174 2510203761 3346938348 5020407522 10040815044