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201404211140 = 225111554158907
BaseRepresentation
bin1011101110010010100…
…0000101111111000100
3201020212012120000001102
42323210220011333010
511244433434224030
6232305051115232
720356661356016
oct2734450057704
9636765500042
10201404211140
1178462476880
1233049a42b18
1315cb9213642
149a687ac1b6
15538b89bc45
hex2ee4a05fc4

201404211140 has 48 divisors (see below), whose sum is σ = 461436260544. Its totient is φ = 73231939200.

The previous prime is 201404211139. The next prime is 201404211187. The reversal of 201404211140 is 41112404102.

201404211140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3389567 + ... + 3448473.

It is an arithmetic number, because the mean of its divisors is an integer number (9613255428).

Almost surely, 2201404211140 is an apocalyptic number.

201404211140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201404211140 is an abundant number, since it is smaller than the sum of its proper divisors (260032049404).

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

201404211140 is a wasteful number, since it uses less digits than its factorization.

201404211140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74468 (or 74466 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 201404211140 its reverse (41112404102), we get a palindrome (242516615242).

The spelling of 201404211140 in words is "two hundred one billion, four hundred four million, two hundred eleven thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 15541 31082 58907 62164 77705 117814 155410 170951 235628 294535 310820 341902 589070 647977 683804 854755 1178140 1295954 1709510 2591908 3239885 3419020 6479770 12959540 915473687 1830947374 3661894748 4577368435 9154736870 10070210557 18309473740 20140421114 40280842228 50351052785 100702105570 201404211140