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1140424404 = 2237311074093
BaseRepresentation
bin100001111111001…
…0111111011010100
32221110220120011220
41003332113323110
54313422040104
6305055130340
740155306330
oct10376277324
92843816156
101140424404
11535815809
12279b139b0
13152365752
14ab6627c0
156a1bd7d9
hex43f97ed4

1140424404 has 96 divisors (see below), whose sum is σ = 3169345536. Its totient is φ = 312301440.

The previous prime is 1140424361. The next prime is 1140424427. The reversal of 1140424404 is 4044240411.

It is a happy number.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 276582 + ... + 280674.

It is an arithmetic number, because the mean of its divisors is an integer number (33014016).

Almost surely, 21140424404 is an apocalyptic number.

1140424404 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 1140424404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1584672768).

1140424404 is an abundant number, since it is smaller than the sum of its proper divisors (2028921132).

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

1140424404 is a wasteful number, since it uses less digits than its factorization.

1140424404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4245 (or 4243 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

The square root of 1140424404 is about 33770.1703282646. The cubic root of 1140424404 is about 1044.7735455518.

Adding to 1140424404 its reverse (4044240411), we get a palindrome (5184664815).

The spelling of 1140424404 in words is "one billion, one hundred forty million, four hundred twenty-four thousand, four hundred four".

Divisors: 1 2 3 4 6 7 12 14 21 28 31 42 62 84 93 107 124 186 214 217 321 372 428 434 642 651 749 868 1284 1302 1498 2247 2604 2996 3317 4093 4494 6634 8186 8988 9951 12279 13268 16372 19902 23219 24558 28651 39804 46438 49116 57302 69657 85953 92876 114604 126883 139314 171906 253766 278628 343812 380649 437951 507532 761298 875902 888181 1313853 1522596 1751804 1776362 2627706 2664543 3065657 3552724 5255412 5329086 6131314 9196971 10658172 12262628 13576481 18393942 27152962 36787884 40729443 54305924 81458886 95035367 162917772 190070734 285106101 380141468 570212202 1140424404