Search a number
-
+
14010042000 = 243534749681
BaseRepresentation
bin11010000110001000…
…00100011010010000
31100011101100212121110
431003010010122100
5212143032321000
610234111453320
71004116251333
oct150304043220
940141325543
1014010042000
115a3a337a09
12286bb27240
1314237168a6
1496c96c61a
1556ee68850
hex343104690

14010042000 has 160 divisors (see below), whose sum is σ = 46130333184. Its totient is φ = 3656448000.

The previous prime is 14010041939. The next prime is 14010042037. The reversal of 14010042000 is 24001041.

It is a Harshad number since it is a multiple of its sum of digits (12).

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 31 ways as a sum of consecutive naturals, for example, 257160 + ... + 306840.

Almost surely, 214010042000 is an apocalyptic number.

14010042000 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 14010042000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23065166592).

14010042000 is an abundant number, since it is smaller than the sum of its proper divisors (32120291184).

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

14010042000 is a wasteful number, since it uses less digits than its factorization.

14010042000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49754 (or 49738 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 14010042000 its reverse (24001041), we get a palindrome (14034043041).

The spelling of 14010042000 in words is "fourteen billion, ten million, forty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 47 48 50 60 75 80 94 100 120 125 141 150 188 200 235 240 250 282 300 375 376 400 470 500 564 600 705 750 752 940 1000 1128 1175 1200 1410 1500 1880 2000 2256 2350 2820 3000 3525 3760 4700 5640 5875 6000 7050 9400 11280 11750 14100 17625 18800 23500 28200 35250 47000 49681 56400 70500 94000 99362 141000 149043 198724 248405 282000 298086 397448 496810 596172 745215 794896 993620 1192344 1242025 1490430 1987240 2335007 2384688 2484050 2980860 3726075 3974480 4670014 4968100 5961720 6210125 7005021 7452150 9340028 9936200 11675035 11923440 12420250 14010042 14904300 18630375 18680056 19872400 23350070 24840500 28020084 29808600 35025105 37260750 37360112 46700140 49681000 56040168 58375175 59617200 70050210 74521500 93400280 99362000 112080336 116750350 140100420 149043000 175125525 186800560 233500700 280200840 291875875 298086000 350251050 467001400 560401680 583751750 700502100 875627625 934002800 1167503500 1401004200 1751255250 2335007000 2802008400 3502510500 4670014000 7005021000 14010042000