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10023020542440 = 2332527841723729
BaseRepresentation
bin1001000111011010101010…
…0101000011100111101000
31022111012011112102222100100
42101312222211003213220
52303204121224324230
633152302335105400
72053065535622343
oct221665245034750
938435145388310
1010023020542440
113214814884304
12115a641372260
1357922255a979
1426918c64745a
15125ac5e5e660
hex91daa9439e8

10023020542440 has 48 divisors (see below), whose sum is σ = 32574816764100. Its totient is φ = 2672805477888.

The previous prime is 10023020542439. The next prime is 10023020542489. The reversal of 10023020542440 is 4424502032001.

10023020542440 is a `hidden beast` number, since 1 + 0 + 0 + 2 + 30 + 205 + 424 + 4 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 9316987035876 + 706033506564 = 3052374^2 + 840258^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13920861505 + ... + 13920862224.

Almost surely, 210023020542440 is an apocalyptic number.

10023020542440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10023020542440 is an abundant number, since it is smaller than the sum of its proper divisors (22551796221660).

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

10023020542440 is a wasteful number, since it uses less digits than its factorization.

10023020542440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27841723746 (or 27841723739 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 10023020542440 its reverse (4424502032001), we get a palindrome (14447522574441).

The spelling of 10023020542440 in words is "ten trillion, twenty-three billion, twenty million, five hundred forty-two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 27841723729 55683447458 83525171187 111366894916 139208618645 167050342374 222733789832 250575513561 278417237290 334100684748 417625855935 501151027122 556834474580 668201369496 835251711870 1002302054244 1113668949160 1252877567805 1670503423740 2004604108488 2505755135610 3341006847480 5011510271220 10023020542440