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134224014344 = 23773143922817
BaseRepresentation
bin111110100000001011…
…1111110110000001000
3110211110022011101222112
41331000113332300020
54144342321424334
6141354530241452
712461124203660
oct1750027766010
9424408141875
10134224014344
1151a18a58682
122201b426288
13c87103abc4
1466d44931a0
153758ad84ce
hex1f405fec08

134224014344 has 64 divisors (see below), whose sum is σ = 291778329600. Its totient is φ = 56694657024.

The previous prime is 134224014329. The next prime is 134224014367. The reversal of 134224014344 is 443410422431.

It is a self number, because there is not a number n which added to its sum of digits gives 134224014344.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5871224 + ... + 5894040.

It is an arithmetic number, because the mean of its divisors is an integer number (4559036400).

Almost surely, 2134224014344 is an apocalyptic number.

134224014344 is a gapful number since it is divisible by the number (14) 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 134224014344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145889164800).

134224014344 is an abundant number, since it is smaller than the sum of its proper divisors (157554315256).

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

134224014344 is a wasteful number, since it uses less digits than its factorization.

134224014344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24342 (or 24338 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 134224014344 its reverse (443410422431), we get a palindrome (577634436775).

The spelling of 134224014344 in words is "one hundred thirty-four billion, two hundred twenty-four million, fourteen thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 28 56 73 146 292 511 584 1022 1439 2044 2878 4088 5756 10073 11512 20146 22817 40292 45634 80584 91268 105047 159719 182536 210094 319438 420188 638876 735329 840376 1277752 1470658 1665641 2941316 3331282 5882632 6662564 11659487 13325128 23318974 32833663 46637948 65667326 93275896 131334652 229835641 262669304 459671282 919342564 1838685128 2396857399 4793714798 9587429596 16778001793 19174859192 33556003586 67112007172 134224014344