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1442430333324 = 2232475571530521
BaseRepresentation
bin10100111111010111100…
…011000011000110001100
312002220011110011001112200
4110333113203003012030
5142113044131131244
63022350544001500
7206132524351521
oct24772743030614
95086143131480
101442430333324
11506805356772
121b3677000290
13a6036335996
144db57891148
15277c31b0669
hex14fd78c318c

1442430333324 has 72 divisors (see below), whose sum is σ = 3730408613568. Its totient is φ = 469734954240.

The previous prime is 1442430333307. The next prime is 1442430333361. The reversal of 1442430333324 is 4233330342441.

1442430333324 is a `hidden beast` number, since 1 + 4 + 4 + 24 + 303 + 3 + 3 + 324 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 177184 + ... + 1707704.

It is an arithmetic number, because the mean of its divisors is an integer number (51811230744).

Almost surely, 21442430333324 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1442430333324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1865204306784).

1442430333324 is an abundant number, since it is smaller than the sum of its proper divisors (2287978280244).

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

1442430333324 is a wasteful number, since it uses less digits than its factorization.

1442430333324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1531135 (or 1531130 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 36.

Adding to 1442430333324 its reverse (4233330342441), we get a palindrome (5675760675765).

The spelling of 1442430333324 in words is "one trillion, four hundred forty-two billion, four hundred thirty million, three hundred thirty-three thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 47 94 141 188 282 423 557 564 846 1114 1671 1692 2228 3342 5013 6684 10026 20052 26179 52358 78537 104716 157074 235611 314148 471222 942444 1530521 3061042 4591563 6122084 9183126 13774689 18366252 27549378 55098756 71934487 143868974 215803461 287737948 431606922 647410383 852500197 863213844 1294820766 1705000394 2557500591 2589641532 3410000788 5115001182 7672501773 10230002364 15345003546 30690007092 40067509259 80135018518 120202527777 160270037036 240405055554 360607583331 480810111108 721215166662 1442430333324