Search a number
-
+
240550001018488 = 23723679193033187
BaseRepresentation
bin110110101100011101101001…
…010111001000011001111000
31011112201100121011111200212001
4312230131221113020121320
5223012132400230042423
62211335051144230344
7101445110162035060
oct6654355127103170
91145640534450761
10240550001018488
116a7127564a4097
1222b9025076b3b4
13a42b9c9a0c885
144358979c3a3a0
151cc23ce3d5cad
hexdac7695c8678

240550001018488 has 128 divisors (see below), whose sum is σ = 546497974886400. Its totient is φ = 97033027538304.

The previous prime is 240550001018477. The next prime is 240550001018507. The reversal of 240550001018488 is 884810100055042.

It is a happy number.

It is a super-2 number, since 2×2405500010184882 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a congruent number.

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, 77789431 + ... + 80822617.

It is an arithmetic number, because the mean of its divisors is an integer number (4269515428800).

Almost surely, 2240550001018488 is an apocalyptic number.

240550001018488 is a gapful number since it is divisible by the number (28) 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 240550001018488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273248987443200).

240550001018488 is an abundant number, since it is smaller than the sum of its proper divisors (305947973867912).

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

240550001018488 is a wasteful number, since it uses less digits than its factorization.

240550001018488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3034209 (or 3034205 counting only the distinct ones).

The product of its (nonzero) digits is 409600, while the sum is 46.

The spelling of 240550001018488 in words is "two hundred forty trillion, five hundred fifty billion, one million, eighteen thousand, four hundred eighty-eight".

Divisors: 1 2 4 7 8 14 23 28 46 56 67 92 134 161 184 268 322 469 536 644 919 938 1288 1541 1838 1876 3082 3676 3752 6164 6433 7352 10787 12328 12866 21137 21574 25732 42274 43148 51464 61573 84548 86296 123146 147959 169096 246292 295918 431011 492584 591836 862022 1183672 1416179 1724044 2832358 3033187 3448088 5664716 6066374 9913253 11329432 12132748 19826506 21232309 24265496 39653012 42464618 69763301 79306024 84929236 139526602 169858472 203223529 279053204 406447058 488343107 558106408 812894116 976686214 1422564703 1625788232 1953372428 2787498853 2845129406 3906744856 4674141167 5574997706 5690258812 9348282334 11149995412 11380517624 18696564668 19512491971 22299990824 32718988169 37393129336 39024983942 64112473619 65437976338 78049967884 128224947238 130875952676 156099935768 186762423151 256449894476 261751905352 373524846302 448787315333 512899788952 747049692604 897574630666 1307336962057 1494099385208 1795149261332 2614673924114 3590298522664 4295535732473 5229347848228 8591071464946 10458695696456 17182142929892 30068750127311 34364285859784 60137500254622 120275000509244 240550001018488