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331005044040 = 2335111514916553
BaseRepresentation
bin1001101000100010111…
…00000010010101001000
31011122101022101110100120
410310101130002111020
520410344242402130
6412021150503240
732625420310626
oct4642134022510
91148338343316
10331005044040
11118418799840
1254198b04b20
13252a14a8a08
1412040c4c516
158924663910
hex4d11702548

331005044040 has 128 divisors (see below), whose sum is σ = 1083426192000. Its totient is φ = 80233502720.

The previous prime is 331005044021. The next prime is 331005044053. The reversal of 331005044040 is 40440500133.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 331005044040.

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, 19988404 + ... + 20004956.

It is an arithmetic number, because the mean of its divisors is an integer number (8464267125).

Almost surely, 2331005044040 is an apocalyptic number.

331005044040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

331005044040 is an abundant number, since it is smaller than the sum of its proper divisors (752421147960).

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

331005044040 is a wasteful number, since it uses less digits than its factorization.

331005044040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31727 (or 31723 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

Adding to 331005044040 its reverse (40440500133), we get a palindrome (371445544173).

The spelling of 331005044040 in words is "three hundred thirty-one billion, five million, forty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 15149 16553 30298 33106 45447 49659 60596 66212 75745 82765 90894 99318 121192 132424 151490 165530 166639 181788 182083 198636 227235 248295 302980 331060 333278 363576 364166 397272 454470 496590 499917 546249 605960 662120 666556 728332 833195 908940 910415 993180 999834 1092498 1333112 1456664 1666390 1817880 1820830 1986360 1999668 2184996 2499585 2731245 3332780 3641660 3999336 4369992 4999170 5462490 6665560 7283320 9998340 10924980 19996680 21849960 250761397 501522794 752284191 1003045588 1253806985 1504568382 2006091176 2507613970 2758375367 3009136764 3761420955 5015227940 5516750734 6018273528 7522841910 8275126101 10030455880 11033501468 13791876835 15045683820 16550252202 22067002936 27583753670 30091367640 33100504404 41375630505 55167507340 66201008808 82751261010 110335014680 165502522020 331005044040