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214431101444 = 22772718015849
BaseRepresentation
bin1100011110110100010…
…1101111001000000100
3202111111001221121002002
43013231011233020010
512003123330221234
6242301442404432
721330542201030
oct3075505571004
9674431847062
10214431101444
1182a3784831a
1235684660718
13172b403ba61
14a5429371c0
1558a036127e
hex31ed16f204

214431101444 has 48 divisors (see below), whose sum is σ = 429764025600. Its totient is φ = 91705996800.

The previous prime is 214431101413. The next prime is 214431101449. The reversal of 214431101444 is 444101134412.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (214431101449) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36658232 + ... + 36664080.

It is an arithmetic number, because the mean of its divisors is an integer number (8953417200).

Almost surely, 2214431101444 is an apocalyptic number.

It is an amenable number.

214431101444 is an abundant number, since it is smaller than the sum of its proper divisors (215332924156).

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

214431101444 is a wasteful number, since it uses less digits than its factorization.

214431101444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8388 (or 8386 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 29.

Adding to 214431101444 its reverse (444101134412), we get a palindrome (658532235856).

The spelling of 214431101444 in words is "two hundred fourteen billion, four hundred thirty-one million, one hundred one thousand, four hundred forty-four".

Divisors: 1 2 4 7 14 28 727 1454 1801 2908 3602 5089 5849 7204 10178 11698 12607 20356 23396 25214 40943 50428 81886 163772 1309327 2618654 4252223 5237308 8504446 9165289 10534049 17008892 18330578 21068098 29765561 36661156 42136196 59531122 73738343 119062244 147476686 294953372 7658253623 15316507246 30633014492 53607775361 107215550722 214431101444