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424322443040 = 25519157889043
BaseRepresentation
bin1100010110010111001…
…01101010011100100000
31111120020202112111101112
412023023211222130200
523423003021134130
6522533034322452
742441051153446
oct6131345523440
91446222474345
10424322443040
11153a54a588a1
126a2a0889428
1331023692882
1416774574b96
15b086d7d495
hex62cb96a720

424322443040 has 96 divisors (see below), whose sum is σ = 1061945277120. Its totient is φ = 159771515904.

The previous prime is 424322442959. The next prime is 424322443091. The reversal of 424322443040 is 40344223424.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 424322442988 and 424322443006.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32759 + ... + 921801.

It is an arithmetic number, because the mean of its divisors is an integer number (11061929970).

Almost surely, 2424322443040 is an apocalyptic number.

424322443040 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 424322443040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (530972638560).

424322443040 is an abundant number, since it is smaller than the sum of its proper divisors (637622834080).

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

424322443040 is a wasteful number, since it uses less digits than its factorization.

424322443040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 889234 (or 889226 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 32.

Adding to 424322443040 its reverse (40344223424), we get a palindrome (464666666464).

The spelling of 424322443040 in words is "four hundred twenty-four billion, three hundred twenty-two million, four hundred forty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 76 80 95 152 157 160 190 304 314 380 608 628 760 785 1256 1520 1570 2512 2983 3040 3140 5024 5966 6280 11932 12560 14915 23864 25120 29830 47728 59660 95456 119320 238640 477280 889043 1778086 3556172 4445215 7112344 8890430 14224688 16891817 17780860 28449376 33783634 35561720 67567268 71123440 84459085 135134536 139579751 142246880 168918170 270269072 279159502 337836340 540538144 558319004 675672680 697898755 1116638008 1351345360 1395797510 2233276016 2652015269 2702690720 2791595020 4466552032 5304030538 5583190040 10608061076 11166380080 13260076345 21216122152 22332760160 26520152690 42432244304 53040305380 84864488608 106080610760 212161221520 424322443040