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1244155104 = 253217324971
BaseRepresentation
bin100101000101000…
…0100110011100000
310012201002121221200
41022022010303200
510022000430404
6323242321200
742555100233
oct11212046340
93181077850
101244155104
11589325165
122a87b9200
1316a9b436a
14bb34541a
157435d839
hex4a284ce0

1244155104 has 72 divisors (see below), whose sum is σ = 3558659832. Its totient is φ = 412304640.

The previous prime is 1244155097. The next prime is 1244155111. The reversal of 1244155104 is 4015514421.

It is an interprime number because it is at equal distance from previous prime (1244155097) and next prime (1244155111).

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37339 + ... + 62309.

It is an arithmetic number, because the mean of its divisors is an integer number (49425831).

Almost surely, 21244155104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1244155104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1779329916).

1244155104 is an abundant number, since it is smaller than the sum of its proper divisors (2314504728).

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

1244155104 is a wasteful number, since it uses less digits than its factorization.

1244155104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25160 (or 25149 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 1244155104 is about 35272.5828938001. The cubic root of 1244155104 is about 1075.5357283593.

Adding to 1244155104 its reverse (4015514421), we get a palindrome (5259669525).

The spelling of 1244155104 in words is "one billion, two hundred forty-four million, one hundred fifty-five thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 173 288 346 519 692 1038 1384 1557 2076 2768 3114 4152 5536 6228 8304 12456 16608 24912 24971 49824 49942 74913 99884 149826 199768 224739 299652 399536 449478 599304 799072 898956 1198608 1797912 2397216 3595824 4319983 7191648 8639966 12959949 17279932 25919898 34559864 38879847 51839796 69119728 77759694 103679592 138239456 155519388 207359184 311038776 414718368 622077552 1244155104