Search a number
-
+
1420120315456 = 26127199787491
BaseRepresentation
bin10100101010100101110…
…001000101011001000000
312000202120121220201111121
4110222211301011121000
5141231401300043311
63004221054522024
7204412622340613
oct24524561053100
95022517821447
101420120315456
114a82a6994077
121ab28b506314
13a3bbc1b918b
144ca3c89017a
1526e19744b71
hex14aa5c45640

1420120315456 has 56 divisors (see below), whose sum is σ = 2841695364096. Its totient is φ = 704108321280.

The previous prime is 1420120315441. The next prime is 1420120315459. The reversal of 1420120315456 is 6545130210241.

It is not an unprimeable number, because it can be changed into a prime (1420120315459) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16187871 + ... + 16275361.

Almost surely, 21420120315456 is an apocalyptic number.

1420120315456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1420120315456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1420847682048).

1420120315456 is an abundant number, since it is smaller than the sum of its proper divisors (1421575048640).

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

1420120315456 is a wasteful number, since it uses less digits than its factorization.

1420120315456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89627 (or 89617 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 34.

Adding to 1420120315456 its reverse (6545130210241), we get a palindrome (7965250525697).

The spelling of 1420120315456 in words is "one trillion, four hundred twenty billion, one hundred twenty million, three hundred fifteen thousand, four hundred fifty-six".

Divisors: 1 2 4 8 16 32 64 127 254 508 1016 1997 2032 3994 4064 7988 8128 15976 31952 63904 87491 127808 174982 253619 349964 507238 699928 1014476 1399856 2028952 2799712 4057904 5599424 8115808 11111357 16231616 22222714 44445428 88890856 174719527 177781712 349439054 355563424 698878108 711126848 1397756216 2795512432 5591024864 11182049728 22189379929 44378759858 88757519716 177515039432 355030078864 710060157728 1420120315456