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14110040040 = 23351035472087
BaseRepresentation
bin11010010010000011…
…00001111111101000
31100102100112022010120
431021001201333220
5212344132240130
610252043043240
71006442234655
oct151101417750
940370468116
1014110040040
115a90827a18
122899510520
13143b359525
1497bd5cc2c
15578b1c910
hex349061fe8

14110040040 has 128 divisors (see below), whose sum is σ = 42839746560. Its totient is φ = 3717552384.

The previous prime is 14110040027. The next prime is 14110040083. The reversal of 14110040040 is 4004001141.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6759877 + ... + 6761963.

It is an arithmetic number, because the mean of its divisors is an integer number (334685520).

Almost surely, 214110040040 is an apocalyptic number.

14110040040 is a gapful number since it is divisible by the number (10) 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 14110040040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21419873280).

14110040040 is an abundant number, since it is smaller than the sum of its proper divisors (28729706520).

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

14110040040 is a wasteful number, since it uses less digits than its factorization.

14110040040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2751 (or 2747 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 14110040040 its reverse (4004001141), we get a palindrome (18114041181).

The spelling of 14110040040 in words is "fourteen billion, one hundred ten million, forty thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 103 120 206 309 412 515 547 618 824 1030 1094 1236 1545 1641 2060 2087 2188 2472 2735 3090 3282 4120 4174 4376 5470 6180 6261 6564 8205 8348 10435 10940 12360 12522 13128 16410 16696 20870 21880 25044 31305 32820 41740 50088 56341 62610 65640 83480 112682 125220 169023 214961 225364 250440 281705 338046 429922 450728 563410 644883 676092 845115 859844 1074805 1126820 1141589 1289766 1352184 1690230 1719688 2149610 2253640 2283178 2579532 3224415 3380460 3424767 4299220 4566356 5159064 5707945 6448830 6760920 6849534 8598440 9132712 11415890 12897660 13699068 17123835 22831780 25795320 27398136 34247670 45663560 68495340 117583667 136990680 235167334 352751001 470334668 587918335 705502002 940669336 1175836670 1411004004 1763755005 2351673340 2822008008 3527510010 4703346680 7055020020 14110040040