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14011411133040 = 2435317184166813
BaseRepresentation
bin1100101111100100100100…
…1011101111001001110000
31211121110220022222120111120
43023321021023233021300
53314030332222224130
645444430423142240
72644201554364026
oct313711113571160
954543808876446
1014011411133040
11451222a342852
1216a36092a4980
137a83690ba389
14366227ba0716
15194707aee910
hexcbe492ef270

14011411133040 has 80 divisors (see below), whose sum is σ = 43572394857888. Its totient is φ = 3724589605888.

The previous prime is 14011411132973. The next prime is 14011411133059. The reversal of 14011411133040 is 4033111411041.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 14011411133040.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 92007327 + ... + 92159486.

Almost surely, 214011411133040 is an apocalyptic number.

14011411133040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14011411133040 is an abundant number, since it is smaller than the sum of its proper divisors (29560983724848).

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

14011411133040 is a wasteful number, since it uses less digits than its factorization.

14011411133040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184167146 (or 184167140 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

Adding to 14011411133040 its reverse (4033111411041), we get a palindrome (18044522544081).

The spelling of 14011411133040 in words is "fourteen trillion, eleven billion, four hundred eleven million, one hundred thirty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 317 634 951 1268 1585 1902 2536 3170 3804 4755 5072 6340 7608 9510 12680 15216 19020 25360 38040 76080 184166813 368333626 552500439 736667252 920834065 1105000878 1473334504 1841668130 2210001756 2762502195 2946669008 3683336260 4420003512 5525004390 7366672520 8840007024 11050008780 14733345040 22100017560 44200035120 58380879721 116761759442 175142639163 233523518884 291904398605 350285278326 467047037768 583808797210 700570556652 875713195815 934094075536 1167617594420 1401141113304 1751426391630 2335235188840 2802282226608 3502852783260 4670470377680 7005705566520 14011411133040