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14240501400 = 2335233197151
BaseRepresentation
bin11010100001100110…
…01100111010011000
31100202110000102110210
431100303030322120
5213131032021100
610313023211120
71012615156536
oct152063147230
940673012423
1014240501400
116048434524
122915146aa0
13145c3a6cb8
149913dd156
155852dcc50
hex350ccce98

14240501400 has 96 divisors (see below), whose sum is σ = 44165030400. Its totient is φ = 3795792000.

The previous prime is 14240501389. The next prime is 14240501411. The reversal of 14240501400 is 410504241.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (14240501389) and next prime (14240501411).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1987825 + ... + 1994975.

It is an arithmetic number, because the mean of its divisors is an integer number (460052400).

Almost surely, 214240501400 is an apocalyptic number.

14240501400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14240501400 is an abundant number, since it is smaller than the sum of its proper divisors (29924529000).

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

14240501400 is a wasteful number, since it uses less digits than its factorization.

14240501400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10489 (or 10480 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The spelling of 14240501400 in words is "fourteen billion, two hundred forty million, five hundred one thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 3319 6638 7151 9957 13276 14302 16595 19914 21453 26552 28604 33190 35755 39828 42906 49785 57208 66380 71510 79656 82975 85812 99570 107265 132760 143020 165950 171624 178775 199140 214530 248925 286040 331900 357550 398280 429060 497850 536325 663800 715100 858120 995700 1072650 1430200 1991400 2145300 4290600 23734169 47468338 71202507 94936676 118670845 142405014 189873352 237341690 284810028 356012535 474683380 569620056 593354225 712025070 949366760 1186708450 1424050140 1780062675 2373416900 2848100280 3560125350 4746833800 7120250700 14240501400