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132024111140 = 225371491197389
BaseRepresentation
bin111101011110101000…
…0000001000000100100
3110121202222122202010002
41322331100001000210
54130341133024030
6140352342520432
712352452300005
oct1727520010044
9417688582102
10132024111140
1150a9a194859
1221706736118
13c5b034162c
14656623d1ac
15367a8da245
hex1ebd401024

132024111140 has 48 divisors (see below), whose sum is σ = 286655166000. Its totient is φ = 51037466112.

The previous prime is 132024111139. The next prime is 132024111169. The reversal of 132024111140 is 41111420231.

It can be written as a sum of positive squares in 8 ways, for example, as 5269598464 + 126754512676 = 72592^2 + 356026^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 488435 + ... + 708954.

It is an arithmetic number, because the mean of its divisors is an integer number (5971982625).

Almost surely, 2132024111140 is an apocalyptic number.

132024111140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132024111140 is an abundant number, since it is smaller than the sum of its proper divisors (154631054860).

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

132024111140 is a wasteful number, since it uses less digits than its factorization.

132024111140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1197584 (or 1197582 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 132024111140 its reverse (41111420231), we get a palindrome (173135531371).

The spelling of 132024111140 in words is "one hundred thirty-two billion, twenty-four million, one hundred eleven thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 37 74 148 149 185 298 370 596 740 745 1490 2980 5513 11026 22052 27565 55130 110260 1197389 2394778 4789556 5986945 11973890 23947780 44303393 88606786 177213572 178410961 221516965 356821922 443033930 713643844 886067860 892054805 1784109610 3568219220 6601205557 13202411114 26404822228 33006027785 66012055570 132024111140