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42311302440 = 233511313102409
BaseRepresentation
bin100111011001111100…
…110011110100101000
311001012202011212101120
4213121330303310220
51143123143134230
631234302015240
73025341064611
oct473174636450
9131182155346
1042311302440
1116a42699850
128249b77520
133cb3b84044
14209553cc08
15117988c310
hex9d9f33d28

42311302440 has 128 divisors (see below), whose sum is σ = 138917116800. Its totient is φ = 10224414720.

The previous prime is 42311302417. The next prime is 42311302447. The reversal of 42311302440 is 4420311324.

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 42311302440.

It is not an unprimeable number, because it can be changed into a prime (42311302447) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 361956 + ... + 464364.

It is an arithmetic number, because the mean of its divisors is an integer number (1085289975).

Almost surely, 242311302440 is an apocalyptic number.

42311302440 is a gapful number since it is divisible by the number (40) 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 42311302440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69458558400).

42311302440 is an abundant number, since it is smaller than the sum of its proper divisors (96605814360).

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

42311302440 is a wasteful number, since it uses less digits than its factorization.

42311302440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102747 (or 102743 counting only the distinct ones).

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

Adding to 42311302440 its reverse (4420311324), we get a palindrome (46731613764).

The spelling of 42311302440 in words is "forty-two billion, three hundred eleven million, three hundred two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 313 330 440 626 660 939 1252 1320 1565 1878 2504 3130 3443 3756 4695 6260 6886 7512 9390 10329 12520 13772 17215 18780 20658 27544 34430 37560 41316 51645 68860 82632 102409 103290 137720 204818 206580 307227 409636 413160 512045 614454 819272 1024090 1126499 1228908 1536135 2048180 2252998 2457816 3072270 3379497 4096360 4505996 5632495 6144540 6758994 9011992 11264990 12289080 13517988 16897485 22529980 27035976 32054017 33794970 45059960 64108034 67589940 96162051 128216068 135179880 160270085 192324102 256432136 320540170 352594187 384648204 480810255 641080340 705188374 769296408 961620510 1057782561 1282160680 1410376748 1762970935 1923241020 2115565122 2820753496 3525941870 3846482040 4231130244 5288912805 7051883740 8462260488 10577825610 14103767480 21155651220 42311302440