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144414402100 = 22523146585291
BaseRepresentation
bin1000011001111111000…
…1001110011000110100
3111210202111011202000021
42012133301032120310
54331230041331400
6150202033454524
713301503110163
oct2063761163064
9453674152007
10144414402100
115627818a841
1223ba4111444
13108062c8447
146dbda153da
153b5355271a
hex219fc4e634

144414402100 has 36 divisors (see below), whose sum is σ = 323488267648. Its totient is φ = 55902348000.

The previous prime is 144414402061. The next prime is 144414402103. The reversal of 144414402100 is 1204414441.

144414402100 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 (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144414402103) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 23289546 + ... + 23295745.

Almost surely, 2144414402100 is an apocalyptic number.

144414402100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144414402100 is an abundant number, since it is smaller than the sum of its proper divisors (179073865548).

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

144414402100 is a wasteful number, since it uses less digits than its factorization.

144414402100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46585336 (or 46585329 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 25.

Adding to 144414402100 its reverse (1204414441), we get a palindrome (145618816541).

The spelling of 144414402100 in words is "one hundred forty-four billion, four hundred fourteen million, four hundred two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 31 50 62 100 124 155 310 620 775 1550 3100 46585291 93170582 186341164 232926455 465852910 931705820 1164632275 1444144021 2329264550 2888288042 4658529100 5776576084 7220720105 14441440210 28882880420 36103600525 72207201050 144414402100