Search a number
-
+
404214131000 = 2353467986389
BaseRepresentation
bin1011110000111010000…
…10100010100100111000
31102122100101012101221202
411320131002202210320
523110312304143000
6505405435353332
741126542265141
oct5703502424470
91378311171852
10404214131000
11146476380399
126640a5b2848
132c16a723c94
14157c7b36ac8
15a7ab869dd5
hex5e1d0a2938

404214131000 has 64 divisors (see below), whose sum is σ = 946074168000. Its totient is φ = 161649225600.

The previous prime is 404214130981. The next prime is 404214131023. The reversal of 404214131000 is 131412404.

It is a super-2 number, since 2×4042141310002 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4635806 + ... + 4722194.

It is an arithmetic number, because the mean of its divisors is an integer number (14782408875).

Almost surely, 2404214131000 is an apocalyptic number.

404214131000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

404214131000 is an abundant number, since it is smaller than the sum of its proper divisors (541860037000).

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

404214131000 is a wasteful number, since it uses less digits than its factorization.

404214131000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91089 (or 91075 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 404214131000 its reverse (131412404), we get a palindrome (404345543404).

The spelling of 404214131000 in words is "four hundred four billion, two hundred fourteen million, one hundred thirty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 4679 9358 18716 23395 37432 46790 86389 93580 116975 172778 187160 233950 345556 431945 467900 584875 691112 863890 935800 1169750 1727780 2159725 2339500 3455560 4319450 4679000 8638900 10798625 17277800 21597250 43194500 86389000 404214131 808428262 1616856524 2021070655 3233713048 4042141310 8084282620 10105353275 16168565240 20210706550 40421413100 50526766375 80842826200 101053532750 202107065500 404214131000