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11414455410 = 23523101163789
BaseRepresentation
bin10101010000101101…
…01100010001110010
31002110111022102011210
422220112230101302
5141334100033120
65124351220550
7552601161441
oct125026542162
932414272153
1011414455410
114928187326
122266817756
1310cba5a737
147a3d58d58
1546c15ace0
hex2a85ac472

11414455410 has 64 divisors (see below), whose sum is σ = 28868970240. Its totient is φ = 2882668800.

The previous prime is 11414455363. The next prime is 11414455421. The reversal of 11414455410 is 1455441411.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12205 + ... + 151584.

It is an arithmetic number, because the mean of its divisors is an integer number (451077660).

Almost surely, 211414455410 is an apocalyptic number.

11414455410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11414455410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14434485120).

11414455410 is an abundant number, since it is smaller than the sum of its proper divisors (17454514830).

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

11414455410 is a wasteful number, since it uses less digits than its factorization.

11414455410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163923.

The product of its (nonzero) digits is 6400, while the sum is 30.

Adding to 11414455410 its reverse (1455441411), we get a palindrome (12869896821).

It can be divided in two parts, 1141445 and 5410, that added together give a triangular number (1146855 = T1514).

The spelling of 11414455410 in words is "eleven billion, four hundred fourteen million, four hundred fifty-five thousand, four hundred ten".

Divisors: 1 2 3 5 6 10 15 23 30 46 69 101 115 138 202 230 303 345 505 606 690 1010 1515 2323 3030 4646 6969 11615 13938 23230 34845 69690 163789 327578 491367 818945 982734 1637890 2456835 3767147 4913670 7534294 11301441 16542689 18835735 22602882 33085378 37671470 49628067 56507205 82713445 99256134 113014410 165426890 248140335 380481847 496280670 760963694 1141445541 1902409235 2282891082 3804818470 5707227705 11414455410