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413415131140 = 225114739982121
BaseRepresentation
bin1100000010000010111…
…01100100100000000100
31110112002121111122022201
412001001131210200010
523233133233144030
6513530441004244
741603545430344
oct6010135444004
91415077448281
10413415131140
1114a368077a40
1268157a83684
132cca5a1b86b
141601bb10d24
15ab494ec2ca
hex6041764804

413415131140 has 48 divisors (see below), whose sum is σ = 967247495424. Its totient is φ = 147134201600.

The previous prime is 413415131113. The next prime is 413415131141. The reversal of 413415131140 is 41131514314.

It is a junction number, because it is equal to n+sod(n) for n = 413415131099 and 413415131108.

It is not an unprimeable number, because it can be changed into a prime (413415131141) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19980721 + ... + 20001400.

It is an arithmetic number, because the mean of its divisors is an integer number (20150989488).

Almost surely, 2413415131140 is an apocalyptic number.

It is an amenable number.

413415131140 is an abundant number, since it is smaller than the sum of its proper divisors (553832364284).

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

413415131140 is a wasteful number, since it uses less digits than its factorization.

413415131140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39982188 (or 39982186 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

Adding to 413415131140 its reverse (41131514314), we get a palindrome (454546645454).

The spelling of 413415131140 in words is "four hundred thirteen billion, four hundred fifteen million, one hundred thirty-one thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 47 55 94 110 188 220 235 470 517 940 1034 2068 2585 5170 10340 39982121 79964242 159928484 199910605 399821210 439803331 799642420 879606662 1759213324 1879159687 2199016655 3758319374 4398033310 7516638748 8796066620 9395798435 18791596870 20670756557 37583193740 41341513114 82683026228 103353782785 206707565570 413415131140