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1332431322140 = 2252971221314621
BaseRepresentation
bin10011011000111011000…
…110000111110000011100
311201101020102121022120102
4103120323012013300130
5133312304404302030
62500035511240232
7165156614240102
oct23307306076034
94641212538512
101332431322140
11474098821566
12196298679078
13988560c3b99
14486c0887c72
15249d6210c45
hex1363b187c1c

1332431322140 has 96 divisors (see below), whose sum is σ = 2936888357760. Its totient is φ = 507082419200.

The previous prime is 1332431322133. The next prime is 1332431322163. The reversal of 1332431322140 is 412231342331.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 91124030 + ... + 91138650.

It is an arithmetic number, because the mean of its divisors is an integer number (30592587060).

Almost surely, 21332431322140 is an apocalyptic number.

1332431322140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1332431322140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1468444178880).

1332431322140 is an abundant number, since it is smaller than the sum of its proper divisors (1604457035620).

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

1332431322140 is a wasteful number, since it uses less digits than its factorization.

1332431322140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16943 (or 16941 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 29.

Adding to 1332431322140 its reverse (412231342331), we get a palindrome (1744662664471).

The spelling of 1332431322140 in words is "one trillion, three hundred thirty-two billion, four hundred thirty-one million, three hundred twenty-two thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 29 58 71 116 142 145 284 290 355 580 710 1420 2059 2213 4118 4426 8236 8852 10295 11065 14621 20590 22130 29242 41180 44260 58484 64177 73105 128354 146210 157123 256708 292420 314246 320885 424009 628492 641770 785615 848018 1038091 1283540 1571230 1696036 2076182 2120045 3142460 4152364 4240090 4556567 5190455 8480180 9113134 10380910 18226268 20761820 22782835 30104639 32356273 45565670 60209278 64712546 91131340 120418556 129425092 150523195 161781365 301046390 323562730 602092780 647125460 938331917 1876663834 2297295383 3753327668 4594590766 4691659585 9189181532 9383319170 11486476915 18766638340 22972953830 45945907660 66621566107 133243132214 266486264428 333107830535 666215661070 1332431322140