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14134041214320 = 2435273121564203
BaseRepresentation
bin1100110110101101011010…
…0000010111110101110000
31212001012102122010011020210
43031223112200113311300
53323033004022324240
650021031111304120
72656102501024626
oct315532640276560
955035378104223
1014134041214320
11455a238878965
12170333197b040
137b6ab014a651
1436c13c539516
151979d3928780
hexcdad6817d70

14134041214320 has 80 divisors (see below), whose sum is σ = 43831573564032. Its totient is φ = 3767697373440.

The previous prime is 14134041214201. The next prime is 14134041214333. The reversal of 14134041214320 is 2341214043141.

It is a happy number.

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

It is a super-2 number, since 2×141340412143202 (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10126662 + ... + 11437541.

Almost surely, 214134041214320 is an apocalyptic number.

14134041214320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14134041214320 is an abundant number, since it is smaller than the sum of its proper divisors (29697532349712).

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

14134041214320 is a wasteful number, since it uses less digits than its factorization.

14134041214320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21566950 (or 21566944 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 14134041214320 its reverse (2341214043141), we get a palindrome (16475255257461).

The spelling of 14134041214320 in words is "fourteen trillion, one hundred thirty-four billion, forty-one million, two hundred fourteen thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 2731 5462 8193 10924 13655 16386 21848 27310 32772 40965 43696 54620 65544 81930 109240 131088 163860 218480 327720 655440 21564203 43128406 64692609 86256812 107821015 129385218 172513624 215642030 258770436 323463045 345027248 431284060 517540872 646926090 862568120 1035081744 1293852180 1725136240 2587704360 5175408720 58891838393 117783676786 176675515179 235567353572 294459191965 353351030358 471134707144 588918383930 706702060716 883377575895 942269414288 1177836767860 1413404121432 1766755151790 2355673535720 2826808242864 3533510303580 4711347071440 7067020607160 14134041214320