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3240121140 = 22325612691097
BaseRepresentation
bin1100000100100000…
…0101001100110100
322100210212012121200
43001020011030310
523113432334030
61253303012500
7143202401214
oct30110051464
98323765550
103240121140
111412a66a73
1276513a130
133c8378559
1422a470244
1513e6c5d60
hexc1205334

3240121140 has 144 divisors (see below), whose sum is σ = 10035763920. Its totient is φ = 845936640.

The previous prime is 3240121127. The next prime is 3240121163. The reversal of 3240121140 is 411210423.

It can be written as a sum of positive squares in 8 ways, for example, as 1497225636 + 1742895504 = 38694^2 + 41748^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2953072 + ... + 2954168.

It is an arithmetic number, because the mean of its divisors is an integer number (69692805).

Almost surely, 23240121140 is an apocalyptic number.

3240121140 is a gapful number since it is divisible by the number (30) 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 3240121140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5017881960).

3240121140 is an abundant number, since it is smaller than the sum of its proper divisors (6795642780).

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

3240121140 is a wasteful number, since it uses less digits than its factorization.

3240121140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1442 (or 1437 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 3240121140 is about 56922.0619795172. The cubic root of 3240121140 is about 1479.7456861543.

Adding to 3240121140 its reverse (411210423), we get a palindrome (3651331563).

The spelling of 3240121140 in words is "three billion, two hundred forty million, one hundred twenty-one thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 61 90 122 180 183 244 269 305 366 538 549 610 732 807 915 1076 1097 1098 1220 1345 1614 1830 2194 2196 2421 2690 2745 3228 3291 3660 4035 4388 4842 5380 5485 5490 6582 8070 9684 9873 10970 10980 12105 13164 16140 16409 16455 19746 21940 24210 32818 32910 39492 48420 49227 49365 65636 65820 66917 82045 98454 98730 133834 147681 164090 196908 197460 200751 246135 267668 295093 295362 328180 334585 401502 492270 590186 590724 602253 669170 738405 803004 885279 984540 1003755 1180372 1204506 1338340 1475465 1476810 1770558 2007510 2409012 2655837 2950930 2953620 3011265 3541116 4015020 4426395 5311674 5901860 6022530 8852790 10623348 12045060 13279185 17705580 18000673 26558370 36001346 53116740 54002019 72002692 90003365 108004038 162006057 180006730 216008076 270010095 324012114 360013460 540020190 648024228 810030285 1080040380 1620060570 3240121140