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14243532240 = 2435773116141
BaseRepresentation
bin11010100001111101…
…10000110111010000
31100202122201102000010
431100332300313100
5213132321012430
610313212154520
71012653012030
oct152076606720
940678642003
1014243532240
11604a114653
122916168a40
13145cbc86b2
1499198b8c0
155856dacb0
hex350fb0dd0

14243532240 has 160 divisors (see below), whose sum is σ = 51154511616. Its totient is φ = 3211038720.

The previous prime is 14243532227. The next prime is 14243532271. The reversal of 14243532240 is 4223534241.

14243532240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 14243532198 and 14243532207.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 64570 + ... + 180710.

Almost surely, 214243532240 is an apocalyptic number.

14243532240 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 14243532240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25577255808).

14243532240 is an abundant number, since it is smaller than the sum of its proper divisors (36910979376).

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

14243532240 is a wasteful number, since it uses less digits than its factorization.

14243532240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116237 (or 116231 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

The spelling of 14243532240 in words is "fourteen billion, two hundred forty-three million, five hundred thirty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 73 80 84 105 112 120 140 146 168 210 219 240 280 292 336 365 420 438 511 560 584 730 840 876 1022 1095 1168 1460 1533 1680 1752 2044 2190 2555 2920 3066 3504 4088 4380 5110 5840 6132 7665 8176 8760 10220 12264 15330 17520 20440 24528 30660 40880 61320 116141 122640 232282 348423 464564 580705 696846 812987 929128 1161410 1393692 1625974 1742115 1858256 2322820 2438961 2787384 3251948 3484230 4064935 4645640 4877922 5574768 6503896 6968460 8129870 8478293 9291280 9755844 12194805 13007792 13936920 16259740 16956586 19511688 24389610 25434879 27873840 32519480 33913172 39023376 42391465 48779220 50869758 59348051 65038960 67826344 84782930 97558440 101739516 118696102 127174395 135652688 169565860 178044153 195116880 203479032 237392204 254348790 296740255 339131720 356088306 406958064 474784408 508697580 593480510 678263440 712176612 890220765 949568816 1017395160 1186961020 1424353224 1780441530 2034790320 2373922040 2848706448 3560883060 4747844080 7121766120 14243532240