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100444014 = 232114112373
BaseRepresentation
bin1011111110010…
…10011101101110
321000000002021200
411333022131232
5201203202024
613544510330
72326521456
oct577123556
9230002250
10100444014
1151775090
122977b3a6
1317a6a938
14d4a8d66
158c412c9
hex5fca76e

100444014 has 48 divisors (see below), whose sum is σ = 243223344. Its totient is φ = 29692800.

The previous prime is 100443989. The next prime is 100444031. The reversal of 100444014 is 410444001.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1932 + ... + 14304.

It is an arithmetic number, because the mean of its divisors is an integer number (5067153).

Almost surely, 2100444014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100444014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121611672).

100444014 is an abundant number, since it is smaller than the sum of its proper divisors (142779330).

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

100444014 is a wasteful number, since it uses less digits than its factorization.

100444014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12433 (or 12430 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 100444014 is about 10022.1761110050. The cubic root of 100444014 is about 464.8448459123.

Adding to 100444014 its reverse (410444001), we get a palindrome (510888015).

The spelling of 100444014 in words is "one hundred million, four hundred forty-four thousand, fourteen".

Divisors: 1 2 3 6 9 11 18 22 33 41 66 82 99 123 198 246 369 451 738 902 1353 2706 4059 8118 12373 24746 37119 74238 111357 136103 222714 272206 408309 507293 816618 1014586 1224927 1521879 2449854 3043758 4565637 5580223 9131274 11160446 16740669 33481338 50222007 100444014