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14010110000 = 24544134171
BaseRepresentation
bin11010000110001000…
…10101000000110000
31100011101111022212222
431003010111000300
5212143042010000
610234113140212
71004116653515
oct150304250060
940141438788
1014010110000
115a3a384007
12286bb5a668
13142373b823
1496c98930c
1556ee7da85
hex343115030

14010110000 has 100 divisors (see below), whose sum is σ = 34748208264. Its totient is φ = 5467200000.

The previous prime is 14010109999. The next prime is 14010110011. The reversal of 14010110000 is 1101041.

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 14010110000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 392915 + ... + 427085.

Almost surely, 214010110000 is an apocalyptic number.

14010110000 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 14010110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17374104132).

14010110000 is an abundant number, since it is smaller than the sum of its proper divisors (20738098264).

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

14010110000 is an equidigital number, since it uses as much as digits as its factorization.

14010110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34240 (or 34219 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 14010110000 its reverse (1101041), we get a palindrome (14011211041).

The spelling of 14010110000 in words is "fourteen billion, ten million, one hundred ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 41 50 80 82 100 125 164 200 205 250 328 400 410 500 625 656 820 1000 1025 1250 1640 2000 2050 2500 3280 4100 5000 5125 8200 10000 10250 16400 20500 25625 34171 41000 51250 68342 82000 102500 136684 170855 205000 273368 341710 410000 546736 683420 854275 1366840 1401011 1708550 2733680 2802022 3417100 4271375 5604044 6834200 7005055 8542750 11208088 13668400 14010110 17085500 21356875 22416176 28020220 34171000 35025275 42713750 56040440 68342000 70050550 85427500 112080880 140101100 170855000 175126375 280202200 341710000 350252750 560404400 700505500 875631875 1401011000 1751263750 2802022000 3502527500 7005055000 14010110000