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10432440414004 = 2272119859179107
BaseRepresentation
bin1001011111001111110111…
…1001111010111100110100
31100221022221201011101212011
42113303331321322330310
52331411114221222004
634104332535534004
72124501412251640
oct227637571727464
940838851141764
1010432440414004
113362411705624
121205a6322a304
135a8a0c6276bb
14280d0b8b9c20
15131589821004
hex97cfde7af34

10432440414004 has 48 divisors (see below), whose sum is σ = 20966009935360. Its totient is φ = 4449379908960.

The previous prime is 10432440413977. The next prime is 10432440414031. The reversal of 10432440414004 is 40041404423401.

It is an interprime number because it is at equal distance from previous prime (10432440413977) and next prime (10432440414031).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58157419 + ... + 58336525.

Almost surely, 210432440414004 is an apocalyptic number.

10432440414004 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10432440414004 is an abundant number, since it is smaller than the sum of its proper divisors (10533569521356).

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

10432440414004 is a wasteful number, since it uses less digits than its factorization.

10432440414004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189188 (or 189186 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 31.

Adding to 10432440414004 its reverse (40041404423401), we get a palindrome (50473844837405).

The spelling of 10432440414004 in words is "ten trillion, four hundred thirty-two billion, four hundred forty million, four hundred fourteen thousand, four".

Divisors: 1 2 4 7 14 28 211 422 844 1477 2954 5908 9859 19718 39436 69013 138026 179107 276052 358214 716428 1253749 2080249 2507498 4160498 5014996 8320996 14561743 29123486 37791577 58246972 75583154 151166308 264541039 529082078 1058164156 1765815913 3531631826 7063263652 12360711391 24721422782 49442845564 372587157643 745174315286 1490348630572 2608110103501 5216220207002 10432440414004