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1220441411144 = 232771229448121
BaseRepresentation
bin10001110000100111111…
…110100000111001001000
311022200011122211101111002
4101300213332200321020
5124443431000124034
62332355114554132
7154113450554624
oct21604776407110
94280148741432
101220441411144
1143064a3a590a
12178643438948
138b119572b67
14430d92b4184
1521b2e599e7e
hex11c27fa0e48

1220441411144 has 32 divisors (see below), whose sum is σ = 2298462550200. Its totient is φ = 607521661440.

The previous prime is 1220441411113. The next prime is 1220441411159. The reversal of 1220441411144 is 4411141440221.

It can be written as a sum of positive squares in 4 ways, for example, as 1219368062500 + 1073348644 = 1104250^2 + 32762^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2499404 + ... + 2947524.

Almost surely, 21220441411144 is an apocalyptic number.

It is an amenable number.

1220441411144 is a deficient number, since it is larger than the sum of its proper divisors (1078021139056).

1220441411144 is a wasteful number, since it uses less digits than its factorization.

1220441411144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449633 (or 449629 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 29.

Adding to 1220441411144 its reverse (4411141440221), we get a palindrome (5631582851365).

The spelling of 1220441411144 in words is "one trillion, two hundred twenty billion, four hundred forty-one million, four hundred eleven thousand, one hundred forty-four".

Divisors: 1 2 4 8 277 554 1108 1229 2216 2458 4916 9832 340433 448121 680866 896242 1361732 1792484 2723464 3584968 124129517 248259034 496518068 550740709 993036136 1101481418 2202962836 4405925672 152555176393 305110352786 610220705572 1220441411144