[go: up one dir, main page]

Search a number
-
+
1315322144 = 25297119963
BaseRepresentation
bin100111001100110…
…0011100100100000
310101200000021202222
41032121203210200
510143210302034
6334303530212
744411024303
oct11631434440
93350007688
101315322144
11615512aa4
123085b9968
1317c671136
14c698cb3a
157a71a12e
hex4e663920

1315322144 has 48 divisors (see below), whose sum is σ = 2716701120. Its totient is φ = 626008320.

The previous prime is 1315322123. The next prime is 1315322161. The reversal of 1315322144 is 4412235131.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55907 + ... + 75869.

It is an arithmetic number, because the mean of its divisors is an integer number (56597940).

Almost surely, 21315322144 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 1315322144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1358350560).

1315322144 is an abundant number, since it is smaller than the sum of its proper divisors (1401378976).

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

1315322144 is a wasteful number, since it uses less digits than its factorization.

1315322144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20073 (or 20065 counting only the distinct ones).

The product of its digits is 2880, while the sum is 26.

The square root of 1315322144 is about 36267.3702382734. The cubic root of 1315322144 is about 1095.6639618386.

Adding to 1315322144 its reverse (4412235131), we get a palindrome (5727557275).

The spelling of 1315322144 in words is "one billion, three hundred fifteen million, three hundred twenty-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 29 32 58 71 116 142 232 284 464 568 928 1136 2059 2272 4118 8236 16472 19963 32944 39926 65888 79852 159704 319408 578927 638816 1157854 1417373 2315708 2834746 4631416 5669492 9262832 11338984 18525664 22677968 41103817 45355936 82207634 164415268 328830536 657661072 1315322144