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1242022144 = 2811974547
BaseRepresentation
bin100101000000111…
…1100000100000000
310012120002021002011
41022001330010000
510020424202034
6323124502304
742531004546
oct11201740400
93176067064
101242022144
115880a8690
122a7b4a994
1316a41855c
14bad4bd96
157408b864
hex4a07c100

1242022144 has 72 divisors (see below), whose sum is σ = 2733056928. Its totient is φ = 558612480.

The previous prime is 1242022139. The next prime is 1242022163. The reversal of 1242022144 is 4412202421.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 270879 + ... + 275425.

It is an arithmetic number, because the mean of its divisors is an integer number (37959124).

Almost surely, 21242022144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1242022144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1366528464).

1242022144 is an abundant number, since it is smaller than the sum of its proper divisors (1491034784).

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

1242022144 is an equidigital number, since it uses as much as digits as its factorization.

1242022144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4671 (or 4657 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

The square root of 1242022144 is about 35242.3345424221. The cubic root of 1242022144 is about 1074.9207495931.

Adding to 1242022144 its reverse (4412202421), we get a palindrome (5654224565).

The spelling of 1242022144 in words is "one billion, two hundred forty-two million, twenty-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 97 128 176 194 256 352 388 704 776 1067 1408 1552 2134 2816 3104 4268 4547 6208 8536 9094 12416 17072 18188 24832 34144 36376 50017 68288 72752 100034 136576 145504 200068 273152 291008 400136 441059 582016 800272 882118 1164032 1600544 1764236 3201088 3528472 4851649 6402176 7056944 9703298 12804352 14113888 19406596 28227776 38813192 56455552 77626384 112911104 155252768 310505536 621011072 1242022144