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1140141310 = 257211375717
BaseRepresentation
bin100001111110101…
…0010110011111110
32221110101011211221
41003331102303332
54313334010220
6305045103554
740153020100
oct10375226376
92843334757
101140141310
11535642050
122799b7bba
13152296939
14ab5cb570
156a1649aa
hex43f52cfe

1140141310 has 96 divisors (see below), whose sum is σ = 2675200608. Its totient is φ = 345703680.

The previous prime is 1140141287. The next prime is 1140141337. The reversal of 1140141310 is 131410411.

It is a super-2 number, since 2×11401413102 = 2599844413537032200, which contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 196572 + ... + 202288.

It is an arithmetic number, because the mean of its divisors is an integer number (27866673).

Almost surely, 21140141310 is an apocalyptic number.

1140141310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1140141310 is an abundant number, since it is smaller than the sum of its proper divisors (1535059298).

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

1140141310 is a wasteful number, since it uses less digits than its factorization.

1140141310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5786 (or 5779 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

The square root of 1140141310 is about 33765.9785879219. The cubic root of 1140141310 is about 1044.6870883821.

Adding to 1140141310 its reverse (131410411), we get a palindrome (1271551721).

The spelling of 1140141310 in words is "one billion, one hundred forty million, one hundred forty-one thousand, three hundred ten".

Divisors: 1 2 5 7 10 11 14 22 35 37 49 55 70 74 77 98 110 154 185 245 259 370 385 407 490 518 539 770 814 1078 1295 1813 2035 2590 2695 2849 3626 4070 5390 5698 5717 9065 11434 14245 18130 19943 28490 28585 39886 40019 57170 62887 80038 99715 125774 199430 200095 211529 280133 314435 400190 423058 440209 560266 628870 880418 1057645 1400665 1480703 2115290 2201045 2326819 2801330 2961406 3081463 4402090 4653638 6162926 7403515 10364921 11634095 14807030 15407315 16287733 20729842 23268190 30814630 32575466 51824605 81438665 103649210 114014131 162877330 228028262 570070655 1140141310