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14016152040 = 23351137286981
BaseRepresentation
bin11010000110110110…
…11000000111101000
31100011210212022000020
431003123120013220
5212201113331130
610234450440440
71004222220012
oct150333300750
940153768006
1014016152040
115a42830530
122871b93120
131424a759b7
1496d6bd1b2
15570773e10
hex3436d81e8

14016152040 has 128 divisors (see below), whose sum is σ = 47110965120. Its totient is φ = 3306009600.

The previous prime is 14016152039. The next prime is 14016152057. The reversal of 14016152040 is 4025161041.

It is a happy number.

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 14016152040.

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, 94651 + ... + 192330.

It is an arithmetic number, because the mean of its divisors is an integer number (368054415).

Almost surely, 214016152040 is an apocalyptic number.

14016152040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14016152040 is an abundant number, since it is smaller than the sum of its proper divisors (33094813080).

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

14016152040 is a wasteful number, since it uses less digits than its factorization.

14016152040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287043 (or 287039 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

Subtracting from 14016152040 its reverse (4025161041), we obtain a palindrome (9990990999).

The spelling of 14016152040 in words is "fourteen billion, sixteen million, one hundred fifty-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 37 40 44 55 60 66 74 88 110 111 120 132 148 165 185 220 222 264 296 330 370 407 440 444 555 660 740 814 888 1110 1221 1320 1480 1628 2035 2220 2442 3256 4070 4440 4884 6105 8140 9768 12210 16280 24420 48840 286981 573962 860943 1147924 1434905 1721886 2295848 2869810 3156791 3443772 4304715 5739620 6313582 6887544 8609430 9470373 10618297 11479240 12627164 15783955 17218860 18940746 21236594 25254328 31567910 31854891 34437720 37881492 42473188 47351865 53091485 63135820 63709782 75762984 84946376 94703730 106182970 116801267 126271640 127419564 159274455 189407460 212365940 233602534 254839128 318548910 350403801 378814920 424731880 467205068 584006335 637097820 700807602 934410136 1168012670 1274195640 1401615204 1752019005 2336025340 2803230408 3504038010 4672050680 7008076020 14016152040