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10414414020040 = 2352331117426397
BaseRepresentation
bin1001011110001100101101…
…1100101011110111001000
31100212121102102022201010021
42113203023130223313020
52331112204442120130
634052152111430224
72123262613400332
oct227431334536710
940777372281107
1010414414020040
113355801235a78
121202472225374
135a70c8ab55b4
142800bb77c452
15130d81ea237a
hex978cb72bdc8

10414414020040 has 32 divisors (see below), whose sum is σ = 23532999941880. Its totient is φ = 4147886781952.

The previous prime is 10414414020019. The next prime is 10414414020083. The reversal of 10414414020040 is 4002041441401.

It can be written as a sum of positive squares in 4 ways, for example, as 8103120173604 + 2311293846436 = 2846598^2 + 1520294^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10414414019987 and 10414414020014.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 558703879 + ... + 558722518.

Almost surely, 210414414020040 is an apocalyptic number.

10414414020040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10414414020040 is an abundant number, since it is smaller than the sum of its proper divisors (13118585921840).

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

10414414020040 is a wasteful number, since it uses less digits than its factorization.

10414414020040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1117426641 (or 1117426637 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 25.

Adding to 10414414020040 its reverse (4002041441401), we get a palindrome (14416455461441).

The spelling of 10414414020040 in words is "ten trillion, four hundred fourteen billion, four hundred fourteen million, twenty thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 233 466 932 1165 1864 2330 4660 9320 1117426397 2234852794 4469705588 5587131985 8939411176 11174263970 22348527940 44697055880 260360350501 520720701002 1041441402004 1301801752505 2082882804008 2603603505010 5207207010020 10414414020040