Search a number
-
+
10004420142200 = 2352112413405791
BaseRepresentation
bin1001000110010101010111…
…1010001010010001111000
31022102102011020111202000202
42101211111322022101320
52302403023024022300
633135544524021332
72051536600053251
oct221452572122170
938372136452022
1010004420142200
11320793a3a0300
121156b10091848
13577549b21593
142683061abb28
15125388009ad5
hex91955e8a478

10004420142200 has 72 divisors (see below), whose sum is σ = 25567081206240. Its totient is φ = 3637970952000.

The previous prime is 10004420142131. The next prime is 10004420142341. The reversal of 10004420142200 is 224102440001.

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 polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 206678696 + ... + 206727095.

Almost surely, 210004420142200 is an apocalyptic number.

10004420142200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10004420142200 is an abundant number, since it is smaller than the sum of its proper divisors (15562661064040).

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

10004420142200 is a wasteful number, since it uses less digits than its factorization.

10004420142200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413405829 (or 413405809 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 10004420142200 its reverse (224102440001), we get a palindrome (10228522582201).

The spelling of 10004420142200 in words is "ten trillion, four billion, four hundred twenty million, one hundred forty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 121 200 220 242 275 440 484 550 605 968 1100 1210 2200 2420 3025 4840 6050 12100 24200 413405791 826811582 1653623164 2067028955 3307246328 4134057910 4547463701 8268115820 9094927402 10335144775 16536231640 18189854804 20670289550 22737318505 36379709608 41340579100 45474637010 50022100711 82681158200 90949274020 100044201422 113686592525 181898548040 200088402844 227373185050 250110503555 400176805688 454746370100 500221007110 909492740200 1000442014220 1250552517775 2000884028440 2501105035550 5002210071100 10004420142200