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451310100040 = 23519593829079
BaseRepresentation
bin1101001000101000010…
…11011001111001001000
31121010220120120112000101
412210110023121321020
524343240341200130
6543155021415144
744414612361262
oct6442413317110
91533816515011
10451310100040
11164443870a58
1273572a0a4b4
1333734941297
1417bb48c2b32
15bb162c61ca
hex69142d9e48

451310100040 has 32 divisors (see below), whose sum is σ = 1068892344000. Its totient is φ = 171022774464.

The previous prime is 451310100037. The next prime is 451310100041. The reversal of 451310100040 is 40001013154.

It is a super-2 number, since 2×4513101000402 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a junction number, because it is equal to n+sod(n) for n = 451310099990 and 451310100017.

It is not an unprimeable number, because it can be changed into a prime (451310100041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 296913780 + ... + 296915299.

It is an arithmetic number, because the mean of its divisors is an integer number (33402885750).

Almost surely, 2451310100040 is an apocalyptic number.

451310100040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

451310100040 is an abundant number, since it is smaller than the sum of its proper divisors (617582243960).

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

451310100040 is a wasteful number, since it uses less digits than its factorization.

451310100040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 593829109 (or 593829105 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

Adding to 451310100040 its reverse (40001013154), we get a palindrome (491311113194).

The spelling of 451310100040 in words is "four hundred fifty-one billion, three hundred ten million, one hundred thousand, forty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 152 190 380 760 593829079 1187658158 2375316316 2969145395 4750632632 5938290790 11282752501 11876581580 22565505002 23753163160 45131010004 56413762505 90262020008 112827525010 225655050020 451310100040