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1140201024 = 26322726161
BaseRepresentation
bin100001111110110…
…0001011001000000
32221110111012202120
41003331201121000
54313342413044
6305050244240
740153356144
oct10375413100
92843435676
101140201024
115356829a6
12279a26680
131522b7b81
14ab605224
156a177519
hex43f61640

1140201024 has 56 divisors (see below), whose sum is σ = 3030187488. Its totient is φ = 378378240.

The previous prime is 1140200989. The next prime is 1140201043. The reversal of 1140201024 is 4201020411.

It is a junction number, because it is equal to n+sod(n) for n = 1140200994 and 1140201012.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30504 + ... + 56664.

Almost surely, 21140201024 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 1140201024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1515093744).

1140201024 is an abundant number, since it is smaller than the sum of its proper divisors (1889986464).

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

1140201024 is a wasteful number, since it uses less digits than its factorization.

1140201024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26403 (or 26393 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 1140201024 is about 33766.8628095652. The cubic root of 1140201024 is about 1044.7053262839.

Adding to 1140201024 its reverse (4201020411), we get a palindrome (5341221435).

The spelling of 1140201024 in words is "one billion, one hundred forty million, two hundred one thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 227 454 681 908 1362 1816 2724 3632 5448 7264 10896 14528 21792 26161 43584 52322 78483 104644 156966 209288 313932 418576 627864 837152 1255728 1674304 2511456 5022912 5938547 11877094 17815641 23754188 35631282 47508376 71262564 95016752 142525128 190033504 285050256 380067008 570100512 1140201024