Search a number
-
+
1371164944 = 241937139877
BaseRepresentation
bin101000110111010…
…0101000100010000
310112120002101200211
41101232211010100
510302004234234
6344020453504
745656465302
oct12156450420
93476071624
101371164944
11643a94576
1232324a294
1318b0c3b06
14d0167972
158059b164
hex51ba5110

1371164944 has 80 divisors (see below), whose sum is σ = 2895995200. Its totient is φ = 626683392.

The previous prime is 1371164933. The next prime is 1371164947. The reversal of 1371164944 is 4494611731.

It is a happy number.

It is a super-3 number, since 3×13711649443 (a number of 28 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1371164897 and 1371164906.

It is not an unprimeable number, because it can be changed into a prime (1371164947) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1563034 + ... + 1563910.

It is an arithmetic number, because the mean of its divisors is an integer number (36199940).

Almost surely, 21371164944 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 1371164944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1447997600).

1371164944 is an abundant number, since it is smaller than the sum of its proper divisors (1524830256).

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

1371164944 is a wasteful number, since it uses less digits than its factorization.

1371164944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1080 (or 1074 counting only the distinct ones).

The product of its digits is 72576, while the sum is 40.

The square root of 1371164944 is about 37029.2444427374. The cubic root of 1371164944 is about 1110.9552537594.

The spelling of 1371164944 in words is "one billion, three hundred seventy-one million, one hundred sixty-four thousand, nine hundred forty-four".

Divisors: 1 2 4 8 16 19 37 38 74 76 139 148 152 278 296 304 556 592 703 877 1112 1406 1754 2224 2641 2812 3508 5143 5282 5624 7016 10286 10564 11248 14032 16663 20572 21128 32449 33326 41144 42256 64898 66652 82288 97717 121903 129796 133304 195434 243806 259592 266608 390868 487612 519184 616531 781736 975224 1233062 1563472 1950448 2316157 2466124 4510411 4632314 4932248 9020822 9264628 9864496 18041644 18529256 36083288 37058512 72166576 85697809 171395618 342791236 685582472 1371164944