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1441734272 = 27114323813
BaseRepresentation
bin101010111101111…
…0001111010000000
310201110212200121122
41111323301322000
510423040444042
6355021211412
750504352626
oct12573617200
93643780548
101441734272
1167a904330
12342a00b68
1319c901804
14d9697516
158688a7d2
hex55ef1e80

1441734272 has 64 divisors (see below), whose sum is σ = 3206316960. Its totient is φ = 640066560.

The previous prime is 1441734251. The next prime is 1441734337. The reversal of 1441734272 is 2724371441.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×14417342722 = 4157195422118739968, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 48638 + ... + 72450.

Almost surely, 21441734272 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 1441734272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1603158480).

1441734272 is an abundant number, since it is smaller than the sum of its proper divisors (1764582688).

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

1441734272 is a wasteful number, since it uses less digits than its factorization.

1441734272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23881 (or 23869 counting only the distinct ones).

The product of its digits is 37632, while the sum is 35.

The square root of 1441734272 is about 37970.1760859757. The cubic root of 1441734272 is about 1129.6963895738.

The spelling of 1441734272 in words is "one billion, four hundred forty-one million, seven hundred thirty-four thousand, two hundred seventy-two".

Divisors: 1 2 4 8 11 16 22 32 43 44 64 86 88 128 172 176 344 352 473 688 704 946 1376 1408 1892 2752 3784 5504 7568 15136 23813 30272 47626 60544 95252 190504 261943 381008 523886 762016 1023959 1047772 1524032 2047918 2095544 3048064 4095836 4191088 8191672 8382176 11263549 16383344 16764352 22527098 32766688 33528704 45054196 65533376 90108392 131066752 180216784 360433568 720867136 1441734272