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1313143524 = 2232711577821
BaseRepresentation
bin100111001000100…
…1111101011100100
310101111220121021100
41032101033223210
510142131043044
6334145120100
744353351530
oct11621175344
93344817240
101313143524
11614265190
12307929030
1317c08a604
14c6582bc0
157a439869
hex4e44fae4

1313143524 has 144 divisors (see below), whose sum is σ = 4150613376. Its totient is φ = 340070400.

The previous prime is 1313143453. The next prime is 1313143541. The reversal of 1313143524 is 4253413131.

It is a happy number.

1313143524 is a `hidden beast` number, since 1 + 3 + 131 + 4 + 3 + 524 = 666.

1313143524 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1599034 + ... + 1599854.

It is an arithmetic number, because the mean of its divisors is an integer number (28823704).

Almost surely, 21313143524 is an apocalyptic number.

1313143524 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 1313143524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2075306688).

1313143524 is an abundant number, since it is smaller than the sum of its proper divisors (2837469852).

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

1313143524 is a wasteful number, since it uses less digits than its factorization.

1313143524 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1426 (or 1421 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 1313143524 is about 36237.3222520649. The cubic root of 1313143524 is about 1095.0586970474.

Adding to 1313143524 its reverse (4253413131), we get a palindrome (5566556655).

The spelling of 1313143524 in words is "one billion, three hundred thirteen million, one hundred forty-three thousand, five hundred twenty-four".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 63 66 77 84 99 126 132 154 198 231 252 308 396 462 577 693 821 924 1154 1386 1642 1731 2308 2463 2772 3284 3462 4039 4926 5193 5747 6347 6924 7389 8078 9031 9852 10386 11494 12117 12694 14778 16156 17241 18062 19041 20772 22988 24234 25388 27093 29556 34482 36124 36351 38082 44429 48468 51723 54186 57123 63217 68964 72702 76164 81279 88858 103446 108372 114246 126434 133287 145404 162558 177716 189651 206892 228492 252868 266574 325116 379302 399861 473717 533148 568953 758604 799722 947434 1137906 1421151 1599444 1894868 2275812 2842302 3316019 4263453 5210887 5684604 6632038 8526906 9948057 10421774 13264076 15632661 17053812 19896114 20843548 29844171 31265322 36476209 39792228 46897983 59688342 62530644 72952418 93795966 109428627 119376684 145904836 187591932 218857254 328285881 437714508 656571762 1313143524