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404230011100 = 225229607229637
BaseRepresentation
bin1011110000111011111…
…11000111100011011100
31102122101111002012100121
411320131333013203130
523110330340323400
6505411204004324
741130124254616
oct5703577074334
91378344065317
10404230011100
11146484337343
12664139906a4
132c170ac40a6
14157c9cabdb6
15a7ace5521a
hex5e1dfc78dc

404230011100 has 72 divisors (see below), whose sum is σ = 908925575040. Its totient is φ = 155858545920.

The previous prime is 404230011011. The next prime is 404230011127. The reversal of 404230011100 is 1110032404.

It is a super-2 number, since 2×4042300111002 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1645482 + ... + 1875118.

It is an arithmetic number, because the mean of its divisors is an integer number (12623966320).

Almost surely, 2404230011100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 404230011100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (454462787520).

404230011100 is an abundant number, since it is smaller than the sum of its proper divisors (504695563940).

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

404230011100 is a wasteful number, since it uses less digits than its factorization.

404230011100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230287 (or 230280 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 404230011100 its reverse (1110032404), we get a palindrome (405340043504).

The spelling of 404230011100 in words is "four hundred four billion, two hundred thirty million, eleven thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 100 116 145 290 580 607 725 1214 1450 2428 2900 3035 6070 12140 15175 17603 30350 35206 60700 70412 88015 176030 229637 352060 440075 459274 880150 918548 1148185 1760300 2296370 4592740 5740925 6659473 11481850 13318946 22963700 26637892 33297365 66594730 133189460 139389659 166486825 278779318 332973650 557558636 665947300 696948295 1393896590 2787793180 3484741475 4042300111 6969482950 8084600222 13938965900 16169200444 20211500555 40423001110 80846002220 101057502775 202115005550 404230011100