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1014422024 = 2371116310103
BaseRepresentation
bin111100011101101…
…101101000001000
32121200210222102002
4330131231220020
54034143001044
6244354330132
734065305420
oct7435555010
92550728362
101014422024
11480684310
12243889948
13132219725
1498a23480
155e0ce74e
hex3c76da08

1014422024 has 64 divisors (see below), whose sum is σ = 2386160640. Its totient is φ = 392765760.

The previous prime is 1014421999. The next prime is 1014422029. The reversal of 1014422024 is 4202244101.

1014422024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 1014421987 and 1014422005.

It is not an unprimeable number, because it can be changed into a prime (1014422029) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 95357 + ... + 105459.

It is an arithmetic number, because the mean of its divisors is an integer number (37283760).

Almost surely, 21014422024 is an apocalyptic number.

1014422024 is a gapful number since it is divisible by the number (14) 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 1014422024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1193080320).

1014422024 is an abundant number, since it is smaller than the sum of its proper divisors (1371738616).

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

1014422024 is a wasteful number, since it uses less digits than its factorization.

1014422024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10290 (or 10286 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 1014422024 is about 31849.9925274717. The cubic root of 1014422024 is about 1004.7844142080.

Adding to 1014422024 its reverse (4202244101), we get a palindrome (5216666125).

The spelling of 1014422024 in words is "one billion, fourteen million, four hundred twenty-two thousand, twenty-four".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 154 163 308 326 616 652 1141 1304 1793 2282 3586 4564 7172 9128 10103 12551 14344 20206 25102 40412 50204 70721 80824 100408 111133 141442 222266 282884 444532 565768 777931 889064 1555862 1646789 3111724 3293578 6223448 6587156 11527523 13174312 18114679 23055046 36229358 46110092 72458716 92220184 126802753 144917432 253605506 507211012 1014422024