Search a number
-
+
42432220030440 = 2335471117505717
BaseRepresentation
bin10011010010111100001010…
…11001101110010111101000
312120020110222101000100220010
421221132011121232113220
521030202141311433230
6230125032012331520
711636424653144442
oct1151360531562750
9176213871010803
1042432220030440
111257a449001a89
124913794773ba0
131a8a458757b26
14a69a32349492
154d8b5d0939b0
hex26978566e5e8

42432220030440 has 64 divisors (see below), whose sum is σ = 127299379109760. Its totient is φ = 11315016984320.

The previous prime is 42432220030433. The next prime is 42432220030583. The reversal of 42432220030440 is 4403002223424.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 42432220030398 and 42432220030407.

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, 1900462 + ... + 9406178.

It is an arithmetic number, because the mean of its divisors is an integer number (1989052798590).

Almost surely, 242432220030440 is an apocalyptic number.

42432220030440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42432220030440 is an abundant number, since it is smaller than the sum of its proper divisors (84867159079320).

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

42432220030440 is a wasteful number, since it uses less digits than its factorization.

42432220030440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7552842 (or 7552838 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 30.

Adding to 42432220030440 its reverse (4403002223424), we get a palindrome (46835222253864).

The spelling of 42432220030440 in words is "forty-two trillion, four hundred thirty-two billion, two hundred twenty million, thirty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 47111 94222 141333 188444 235555 282666 376888 471110 565332 706665 942220 1130664 1413330 1884440 2826660 5653320 7505717 15011434 22517151 30022868 37528585 45034302 60045736 75057170 90068604 112585755 150114340 180137208 225171510 300228680 450343020 900686040 353601833587 707203667174 1060805500761 1414407334348 1768009167935 2121611001522 2828814668696 3536018335870 4243222003044 5304027503805 7072036671740 8486444006088 10608055007610 14144073343480 21216110015220 42432220030440