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1445061264 = 243193314787
BaseRepresentation
bin101011000100001…
…1110001010010000
310201201010201101120
41112020132022100
510424413430024
6355220402240
750544550413
oct12610361220
93651121346
101445061264
11681776a09
12343b46380
131a04c7c4a
14d9cc1b7a
1586ce6479
hex5621e290

1445061264 has 80 divisors (see below), whose sum is σ = 3942247680. Its totient is φ = 454861440.

The previous prime is 1445061253. The next prime is 1445061281. The reversal of 1445061264 is 4621605441.

It is a super-4 number, since 4×14450612644 (a number of 38 digits) contains 4444 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 299479 + ... + 304265.

It is an arithmetic number, because the mean of its divisors is an integer number (49278096).

Almost surely, 21445061264 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 1445061264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1971123840).

1445061264 is an abundant number, since it is smaller than the sum of its proper divisors (2497186416).

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

1445061264 is a wasteful number, since it uses less digits than its factorization.

1445061264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5148 (or 5142 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 1445061264 is about 38013.9614352411. The cubic root of 1445061264 is about 1130.5646964809.

The spelling of 1445061264 in words is "one billion, four hundred forty-five million, sixty-one thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 228 304 331 456 662 912 993 1324 1986 2648 3972 4787 5296 6289 7944 9574 12578 14361 15888 18867 19148 25156 28722 37734 38296 50312 57444 75468 76592 90953 100624 114888 150936 181906 229776 272859 301872 363812 545718 727624 1091436 1455248 1584497 2182872 3168994 4365744 4753491 6337988 9506982 12675976 19013964 25351952 30105443 38027928 60210886 76055856 90316329 120421772 180632658 240843544 361265316 481687088 722530632 1445061264