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3031004124240 = 2435337267713999
BaseRepresentation
bin101100000110110101111…
…011001001010001010000
3101201202112212222222022220
4230012311323021101100
5344124444023433430
610240231333301040
7431661051651621
oct54066573112120
911652485888286
103031004124240
11a694948a0154
1240b519194780
1318ca8cc47451
14a69b6843a48
1553c9b5b6110
hex2c1b5ec9450

3031004124240 has 160 divisors (see below), whose sum is σ = 9428188224000. Its totient is φ = 805510766592.

The previous prime is 3031004124223. The next prime is 3031004124241. The reversal of 3031004124240 is 424214001303.

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 3031004124240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3031004124241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 216508761 + ... + 216522759.

It is an arithmetic number, because the mean of its divisors is an integer number (58926176400).

Almost surely, 23031004124240 is an apocalyptic number.

3031004124240 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 3031004124240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4714094112000).

3031004124240 is an abundant number, since it is smaller than the sum of its proper divisors (6397184099760).

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

3031004124240 is a wasteful number, since it uses less digits than its factorization.

3031004124240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17029 (or 17023 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 3031004124240 its reverse (424214001303), we get a palindrome (3455218125543).

The spelling of 3031004124240 in words is "three trillion, thirty-one billion, four million, one hundred twenty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 337 674 1011 1348 1685 2022 2677 2696 3370 4044 5055 5354 5392 6740 8031 8088 10110 10708 13385 13480 13999 16062 16176 20220 21416 26770 26960 27998 32124 40155 40440 41997 42832 53540 55996 64248 69995 80310 80880 83994 107080 111992 128496 139990 160620 167988 209985 214160 223984 279980 321240 335976 419970 559960 642480 671952 839940 902149 1119920 1679880 1804298 2706447 3359760 3608596 4510745 4717663 5412894 7217192 9021490 9435326 10825788 13532235 14152989 14434384 18042980 18870652 21651576 23588315 27064470 28305978 36085960 37475323 37741304 43303152 47176630 54128940 56611956 70764945 72171920 74950646 75482608 94353260 108257880 112425969 113223912 141529890 149901292 187376615 188706520 216515760 224851938 226447824 283059780 299802584 374753230 377413040 449703876 562129845 566119560 599605168 749506460 899407752 1124259690 1132239120 1499012920 1798815504 2248519380 2998025840 4497038760 8994077520 12629183851 25258367702 37887551553 50516735404 63145919255 75775103106 101033470808 126291838510 151550206212 189437757765 202066941616 252583677020 303100412424 378875515530 505167354040 606200824848 757751031060 1010334708080 1515502062120 3031004124240