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423340420240 = 24559193541859
BaseRepresentation
bin1100010100100010000…
…11100010110010010000
31111110201022200120100201
412022101003202302100
523414000121421430
6522251354224544
742404525125303
oct6122103426220
91443638616321
10423340420240
111535a06a3601
126a067a25154
1330bc80ab1aa
14166bdd86b3a
15b02aa4d8ca
hex62910e2c90

423340420240 has 160 divisors (see below), whose sum is σ = 1009168444800. Its totient is φ = 165105008640.

The previous prime is 423340420219. The next prime is 423340420241. The reversal of 423340420240 is 42024043324.

It is a happy number.

It is a super-2 number, since 2×4233404202402 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 423340420199 and 423340420208.

It is not an unprimeable number, because it can be changed into a prime (423340420241) 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, 492828931 + ... + 492829789.

It is an arithmetic number, because the mean of its divisors is an integer number (6307302780).

Almost surely, 2423340420240 is an apocalyptic number.

423340420240 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 423340420240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504584222400).

423340420240 is an abundant number, since it is smaller than the sum of its proper divisors (585828024560).

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

423340420240 is a wasteful number, since it uses less digits than its factorization.

423340420240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1665 (or 1659 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 28.

Adding to 423340420240 its reverse (42024043324), we get a palindrome (465364463564).

The spelling of 423340420240 in words is "four hundred twenty-three billion, three hundred forty million, four hundred twenty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 59 80 118 193 236 295 386 472 541 590 772 859 944 965 1082 1180 1544 1718 1930 2164 2360 2705 3088 3436 3860 4295 4328 4720 5410 6872 7720 8590 8656 10820 11387 13744 15440 17180 21640 22774 31919 34360 43280 45548 50681 56935 63838 68720 91096 101362 104413 113870 127676 159595 165787 182192 202724 208826 227740 253405 255352 319190 331574 405448 417652 455480 464719 506810 510704 522065 638380 663148 810896 828935 835304 910960 929438 1013620 1044130 1276760 1326296 1657870 1670608 1858876 2027240 2088260 2323595 2553520 2652592 3315740 3717752 4054480 4176520 4647190 6160367 6631480 7435504 8353040 9294380 9781433 12320734 13262960 18588760 19562866 24641468 27418421 30801835 37177520 39125732 48907165 49282936 54836842 61603670 78251464 89690767 97814330 98565872 109673684 123207340 137092105 156502928 179381534 195628660 219347368 246414680 274184210 358763068 391257320 438694736 448453835 492829360 548368420 717526136 782514640 896907670 1096736840 1435052272 1793815340 2193473680 3587630680 5291755253 7175261360 10583510506 21167021012 26458776265 42334042024 52917552530 84668084048 105835105060 211670210120 423340420240