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11314410000 = 24354377147
BaseRepresentation
bin10101000100110010…
…00011001000010000
31002012112001120200020
422202121003020100
5141132442110000
65110415023440
7550244620035
oct124231031020
932175046606
1011314410000
114886764773
12223920ab80
1310b40cc37a
1479495538c
15463497ba0
hex2a2643210

11314410000 has 100 divisors (see below), whose sum is σ = 36524520912. Its totient is φ = 3017168000.

The previous prime is 11314409989. The next prime is 11314410007. The reversal of 11314410000 is 1441311.

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 (15).

It is not an unprimeable number, because it can be changed into a prime (11314410007) by changing a digit.

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, 158574 + ... + 218573.

Almost surely, 211314410000 is an apocalyptic number.

11314410000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11314410000 is an abundant number, since it is smaller than the sum of its proper divisors (25210110912).

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

11314410000 is an equidigital number, since it uses as much as digits as its factorization.

11314410000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377178 (or 377157 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 11314410000 its reverse (1441311), we get a palindrome (11315851311).

The spelling of 11314410000 in words is "eleven billion, three hundred fourteen million, four hundred ten thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 625 750 1000 1200 1250 1500 1875 2000 2500 3000 3750 5000 6000 7500 10000 15000 30000 377147 754294 1131441 1508588 1885735 2262882 3017176 3771470 4525764 5657205 6034352 7542940 9051528 9428675 11314410 15085880 18103056 18857350 22628820 28286025 30171760 37714700 45257640 47143375 56572050 75429400 90515280 94286750 113144100 141430125 150858800 188573500 226288200 235716875 282860250 377147000 452576400 471433750 565720500 707150625 754294000 942867500 1131441000 1414301250 1885735000 2262882000 2828602500 3771470000 5657205000 11314410000