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1144334332420 = 225176155175233
BaseRepresentation
bin10000101001101111101…
…001000011001000000100
311001101201121221012112121
4100221233221003020010
5122222044042114140
62233411104055324
7145450446223006
oct20515751031004
94041647835477
101144334332420
11401344997144
12165943304544
1383baab0ac76
143d559578376
151eb77c4e64a
hex10a6fa43204

1144334332420 has 48 divisors (see below), whose sum is σ = 2586173568048. Its totient is φ = 423745781760.

The previous prime is 1144334332411. The next prime is 1144334332457. The reversal of 1144334332420 is 242334334411.

It can be written as a sum of positive squares in 8 ways, for example, as 31427489284 + 1112906843136 = 177278^2 + 1054944^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

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, 27566877 + ... + 27608356.

It is an arithmetic number, because the mean of its divisors is an integer number (53878616001).

Almost surely, 21144334332420 is an apocalyptic number.

1144334332420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1144334332420 is an abundant number, since it is smaller than the sum of its proper divisors (1441839235628).

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

1144334332420 is a wasteful number, since it uses less digits than its factorization.

1144334332420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55175320 (or 55175318 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 34.

Adding to 1144334332420 its reverse (242334334411), we get a palindrome (1386668666831).

The spelling of 1144334332420 in words is "one trillion, one hundred forty-four billion, three hundred thirty-four million, three hundred thirty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 61 68 85 122 170 244 305 340 610 1037 1220 2074 4148 5185 10370 20740 55175233 110350466 220700932 275876165 551752330 937978961 1103504660 1875957922 3365689213 3751915844 4689894805 6731378426 9379789610 13462756852 16828446065 18759579220 33656892130 57216716621 67313784260 114433433242 228866866484 286083583105 572167166210 1144334332420