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1000140044200 = 235211241328101
BaseRepresentation
bin11101000110111001111…
…11011111011110101000
310112121112110221102000021
432203130333133132220
5112341241322403300
62043242532050224
7132154255052113
oct16433477373650
93477473842007
101000140044200
1135617aa88200
12141a00a63974
137340b2c002b
143659ac9d57a
151b038bcad1a
hexe8dcfdf7a8

1000140044200 has 72 divisors (see below), whose sum is σ = 2555936468190. Its totient is φ = 363687280000.

The previous prime is 1000140044153. The next prime is 1000140044209. The reversal of 1000140044200 is 24400410001.

It can be written as a sum of positive squares in 3 ways, for example, as 804540829444 + 195599214756 = 896962^2 + 442266^2 .

It is not an unprimeable number, because it can be changed into a prime (1000140044209) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 20639851 + ... + 20688250.

Almost surely, 21000140044200 is an apocalyptic number.

1000140044200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1000140044200 is an abundant number, since it is smaller than the sum of its proper divisors (1555796423990).

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

1000140044200 is a wasteful number, since it uses less digits than its factorization.

1000140044200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41328139 (or 41328119 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 1000140044200 its reverse (24400410001), we get a palindrome (1024540454201).

The spelling of 1000140044200 in words is "one trillion, one hundred forty million, forty-four 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 41328101 82656202 165312404 206640505 330624808 413281010 454609111 826562020 909218222 1033202525 1653124040 1818436444 2066405050 2273045555 3636872888 4132810100 4546091110 5000700221 8265620200 9092182220 10001400442 11365227775 18184364440 20002800884 22730455550 25003501105 40005601768 45460911100 50007002210 90921822200 100014004420 125017505525 200028008840 250035011050 500070022100 1000140044200