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14102024240 = 2455913122807
BaseRepresentation
bin11010010001000101…
…11101000000110000
31100101210110001112002
431020202331000300
5212340104233430
610251155153132
71006314141203
oct151042750060
940353401462
1014102024240
115a87252597
1228968a57a8
1314397b0b55
1497ac7393a
15578087845
hex3488bd030

14102024240 has 80 divisors (see below), whose sum is σ = 33598920960. Its totient is φ = 5502631680.

The previous prime is 14102024231. The next prime is 14102024249. The reversal of 14102024240 is 4242020141.

It is an interprime number because it is at equal distance from previous prime (14102024231) and next prime (14102024249).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (14102024249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 606917 + ... + 629723.

It is an arithmetic number, because the mean of its divisors is an integer number (419986512).

Almost surely, 214102024240 is an apocalyptic number.

14102024240 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 14102024240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16799460480).

14102024240 is an abundant number, since it is smaller than the sum of its proper divisors (19496896720).

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

14102024240 is a wasteful number, since it uses less digits than its factorization.

14102024240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23010 (or 23004 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 14102024240 its reverse (4242020141), we get a palindrome (18344044381).

The spelling of 14102024240 in words is "fourteen billion, one hundred two million, twenty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 59 80 118 131 236 262 295 472 524 590 655 944 1048 1180 1310 2096 2360 2620 4720 5240 7729 10480 15458 22807 30916 38645 45614 61832 77290 91228 114035 123664 154580 182456 228070 309160 364912 456140 618320 912280 1345613 1824560 2691226 2987717 5382452 5975434 6728065 10764904 11950868 13456130 14938585 21529808 23901736 26912260 29877170 47803472 53824520 59754340 107649040 119508680 176275303 239017360 352550606 705101212 881376515 1410202424 1762753030 2820404848 3525506060 7051012120 14102024240