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3031332103040 = 275171511845133
BaseRepresentation
bin101100000111001001011…
…110010010001110000000
3101201210101202011000122212
4230013021132102032000
5344131132004244130
610240324051121252
7432002143511213
oct54071136221600
911653352130585
103031332103040
11a69642a4450a
1240b5aaba3228
1318cb12b90247
14a6a0821b77a
1553cba29ee95
hex2c1c9792380

3031332103040 has 128 divisors (see below), whose sum is σ = 7723878534720. Its totient is φ = 1133649100800.

The previous prime is 3031332103013. The next prime is 3031332103067. The reversal of 3031332103040 is 403012331303.

It is an interprime number because it is at equal distance from previous prime (3031332103013) and next prime (3031332103067).

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 3031332102997 and 3031332103015.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 720314 + ... + 2565446.

Almost surely, 23031332103040 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 3031332103040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3861939267360).

3031332103040 is an abundant number, since it is smaller than the sum of its proper divisors (4692546431680).

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

3031332103040 is a wasteful number, since it uses less digits than its factorization.

3031332103040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1845320 (or 1845308 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 23.

Adding to 3031332103040 its reverse (403012331303), we get a palindrome (3434344434343).

The spelling of 3031332103040 in words is "three trillion, thirty-one billion, three hundred thirty-two million, one hundred three thousand, forty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 128 136 151 160 170 272 302 320 340 544 604 640 680 755 1088 1208 1360 1510 2176 2416 2567 2720 3020 4832 5134 5440 6040 9664 10268 10880 12080 12835 19328 20536 24160 25670 41072 48320 51340 82144 96640 102680 164288 205360 328576 410720 821440 1642880 1845133 3690266 7380532 9225665 14761064 18451330 29522128 31367261 36902660 59044256 62734522 73805320 118088512 125469044 147610640 156836305 236177024 250938088 278615083 295221280 313672610 501876176 557230166 590442560 627345220 1003752352 1114460332 1180885120 1254690440 1393075415 2007504704 2228920664 2509380880 2786150830 4015009408 4457841328 4736456411 5018761760 5572301660 8915682656 9472912822 10037523520 11144603320 17831365312 18945825644 20075047040 22289206640 23682282055 35662730624 37891651288 44578413280 47364564110 75783302576 89156826560 94729128220 151566605152 178313653120 189458256440 303133210304 378916512880 606266420608 757833025760 1515666051520 3031332103040