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1002344432112 = 24332519243991
BaseRepresentation
bin11101001011000000110…
…00100100000111110000
310112211020002212220202000
432211200120210013300
5112410300133311422
62044245355454000
7132263013045042
oct16454030440760
93484202786660
101002344432112
113571013344a1
12142317157300
137369cbc998a
143672995da92
151b1174b2cac
hexe9606241f0

1002344432112 has 80 divisors (see below), whose sum is σ = 2888562620160. Its totient is φ = 332783640000.

The previous prime is 1002344432101. The next prime is 1002344432149. The reversal of 1002344432112 is 2112344432001.

1002344432112 is a `hidden beast` number, since 1 + 0 + 0 + 2 + 3 + 4 + 443 + 211 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4513564 + ... + 4730427.

It is an arithmetic number, because the mean of its divisors is an integer number (36107032752).

Almost surely, 21002344432112 is an apocalyptic number.

1002344432112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1002344432112 is an abundant number, since it is smaller than the sum of its proper divisors (1886218188048).

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

1002344432112 is a wasteful number, since it uses less digits than its factorization.

1002344432112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9244259 (or 9244247 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 1002344432112 its reverse (2112344432001), we get a palindrome (3114688864113).

The spelling of 1002344432112 in words is "one trillion, two billion, three hundred forty-four million, four hundred thirty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 251 432 502 753 1004 1506 2008 2259 3012 4016 4518 6024 6777 9036 12048 13554 18072 27108 36144 54216 108432 9243991 18487982 27731973 36975964 55463946 73951928 83195919 110927892 147903856 166391838 221855784 249587757 332783676 443711568 499175514 665567352 998351028 1331134704 1996702056 2320241741 3993404112 4640483482 6960725223 9280966964 13921450446 18561933928 20882175669 27842900892 37123867856 41764351338 55685801784 62646527007 83528702676 111371603568 125293054014 167057405352 250586108028 334114810704 501172216056 1002344432112