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14011331132240 = 2451313472433781
BaseRepresentation
bin1100101111100100010001…
…1010100011101101010000
31211121110200202110010000222
43023321010122203231100
53314030201232212430
645444414444332212
72644166563365401
oct313710432435520
954543622403028
1014011331132240
114512199170a92
1216a35a6544068
137a8355659820
1436621b2d79a8
15194700a9a9e5
hexcbe446a3b50

14011331132240 has 40 divisors (see below), whose sum is σ = 35082217568328. Its totient is φ = 5173414571520.

The previous prime is 14011331132237. The next prime is 14011331132257. The reversal of 14011331132240 is 4223113311041.

It can be written as a sum of positive squares in 4 ways, for example, as 254976522304 + 13756354609936 = 504952^2 + 3708956^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6736215851 + ... + 6736217930.

Almost surely, 214011331132240 is an apocalyptic number.

14011331132240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14011331132240 is an abundant number, since it is smaller than the sum of its proper divisors (21070886436088).

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

14011331132240 is a wasteful number, since it uses less digits than its factorization.

14011331132240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13472433807 (or 13472433801 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

Adding to 14011331132240 its reverse (4223113311041), we get a palindrome (18234444443281).

The spelling of 14011331132240 in words is "fourteen trillion, eleven billion, three hundred thirty-one million, one hundred thirty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 13472433781 26944867562 53889735124 67362168905 107779470248 134724337810 175141639153 215558940496 269448675620 350283278306 538897351240 700566556612 875708195765 1077794702480 1401133113224 1751416391530 2802266226448 3502832783060 7005665566120 14011331132240