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14055201040 = 2456719113729
BaseRepresentation
bin11010001011100000…
…10101100100010000
31100021112100012011111
431011300111210100
5212241112413130
610242403423104
71005205144336
oct150560254420
940245305144
1014055201040
115a62881631
122883084a94
13142cb9870a
14974965b56
15573dd902a
hex345c15910

14055201040 has 80 divisors (see below), whose sum is σ = 33342151680. Its totient is φ = 5508771840.

The previous prime is 14055200981. The next prime is 14055201053. The reversal of 14055201040 is 4010255041.

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

It is an unprimeable number.

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, 1016896 + ... + 1030624.

It is an arithmetic number, because the mean of its divisors is an integer number (416776896).

Almost surely, 214055201040 is an apocalyptic number.

14055201040 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 14055201040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16671075840).

14055201040 is an abundant number, since it is smaller than the sum of its proper divisors (19286950640).

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

14055201040 is a wasteful number, since it uses less digits than its factorization.

14055201040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14000 (or 13994 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 22.

Adding to 14055201040 its reverse (4010255041), we get a palindrome (18065456081).

The spelling of 14055201040 in words is "fourteen billion, fifty-five million, two hundred one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 67 80 134 191 268 335 382 536 670 764 955 1072 1340 1528 1910 2680 3056 3820 5360 7640 12797 13729 15280 25594 27458 51188 54916 63985 68645 102376 109832 127970 137290 204752 219664 255940 274580 511880 549160 919843 1023760 1098320 1839686 2622239 3679372 4599215 5244478 7358744 9198430 10488956 13111195 14717488 18396860 20977912 26222390 36793720 41955824 52444780 73587440 104889560 175690013 209779120 351380026 702760052 878450065 1405520104 1756900130 2811040208 3513800260 7027600520 14055201040