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1343524424004 = 22347312089447
BaseRepresentation
bin10011100011010000010…
…010111100100101000100
311202102212112020021120000
4103203100102330211010
5134003014223032004
62505112343041300
7166031534115000
oct23432022744504
94672775207500
101343524424004
1147887056a144
12198473740230
13999033b8299
1449053c71700
1524e35040c39
hex138d04bc944

1343524424004 has 120 divisors (see below), whose sum is σ = 4095904982400. Its totient is φ = 383864089392.

The previous prime is 1343524423979. The next prime is 1343524424051. The reversal of 1343524424004 is 4004244253431.

1343524424004 is a `hidden beast` number, since 1 + 3 + 4 + 3 + 5 + 244 + 2 + 400 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1343524424004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5933592 + ... + 6155855.

It is an arithmetic number, because the mean of its divisors is an integer number (34132541520).

Almost surely, 21343524424004 is an apocalyptic number.

1343524424004 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1343524424004 is an abundant number, since it is smaller than the sum of its proper divisors (2752380558396).

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

1343524424004 is a wasteful number, since it uses less digits than its factorization.

1343524424004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12089484 (or 12089459 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 36.

Adding to 1343524424004 its reverse (4004244253431), we get a palindrome (5347768677435).

The spelling of 1343524424004 in words is "one trillion, three hundred forty-three billion, five hundred twenty-four million, four hundred twenty-four thousand, four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 81 84 98 108 126 147 162 189 196 252 294 324 343 378 441 567 588 686 756 882 1029 1134 1323 1372 1764 2058 2268 2646 3087 3969 4116 5292 6174 7938 9261 12348 15876 18522 27783 37044 55566 111132 12089447 24178894 36268341 48357788 72536682 84626129 108805023 145073364 169252258 217610046 253878387 326415069 338504516 435220092 507756774 592382903 652830138 761635161 979245207 1015513548 1184765806 1305660276 1523270322 1777148709 1958490414 2284905483 2369531612 3046540644 3554297418 3916980828 4146680321 4569810966 5331446127 6854716449 7108594836 8293360642 9139621932 10662892254 12440040963 13709432898 15994338381 16586721284 21325784508 24880081926 27418865796 31988676762 37320122889 47983015143 49760163852 63977353524 74640245778 95966030286 111960368667 149280491556 191932060572 223920737334 335881106001 447841474668 671762212002 1343524424004