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1332144045 = 3251011092689
BaseRepresentation
bin100111101100110…
…1110011110101101
310102211122221002100
41033121232132231
510212012102140
6340104245313
745004015611
oct11731563655
93384587070
101332144045
11623a625a1
12312170839
13182cb0b1b
14c8ccb341
157be3e530
hex4f66e7ad

1332144045 has 48 divisors (see below), whose sum is σ = 2354180400. Its totient is φ = 696729600.

The previous prime is 1332144031. The next prime is 1332144091. The reversal of 1332144045 is 5404412331.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 915849 + 1331228196 = 957^2 + 36486^2 .

It is not a de Polignac number, because 1332144045 - 25 = 1332144013 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 494061 + ... + 496749.

It is an arithmetic number, because the mean of its divisors is an integer number (49045425).

Almost surely, 21332144045 is an apocalyptic number.

1332144045 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1332144045 is a deficient number, since it is larger than the sum of its proper divisors (1022036355).

1332144045 is a wasteful number, since it uses less digits than its factorization.

1332144045 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2910 (or 2907 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 1332144045 is about 36498.5485327841. The cubic root of 1332144045 is about 1100.3150736565.

Adding to 1332144045 its reverse (5404412331), we get a palindrome (6736556376).

The spelling of 1332144045 in words is "one billion, three hundred thirty-two million, one hundred forty-four thousand, forty-five".

Divisors: 1 3 5 9 15 45 101 109 303 327 505 545 909 981 1515 1635 2689 4545 4905 8067 11009 13445 24201 33027 40335 55045 99081 121005 165135 271589 293101 495405 814767 879303 1357945 1465505 2444301 2637909 4073835 4396515 12221505 13189545 29603201 88809603 148016005 266428809 444048015 1332144045