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1444335420 = 2235114914457
BaseRepresentation
bin101011000010110…
…1100111100111100
310201122202211201110
41112011230330330
510424222213140
6355153042020
750535435303
oct12605547474
93648684643
101444335420
11681320640
12343856310
131a0302758
14d9b7343a
1586c01380
hex5616cf3c

1444335420 has 96 divisors (see below), whose sum is σ = 4421765376. Its totient is φ = 349350400.

The previous prime is 1444335359. The next prime is 1444335443. The reversal of 1444335420 is 245334441.

It is a super-2 number, since 2×14443354202 = 4172209610933152800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 321832 + ... + 326288.

It is an arithmetic number, because the mean of its divisors is an integer number (46060056).

Almost surely, 21444335420 is an apocalyptic number.

1444335420 is a gapful number since it is divisible by the number (10) 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 1444335420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2210882688).

1444335420 is an abundant number, since it is smaller than the sum of its proper divisors (2977429956).

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

1444335420 is a wasteful number, since it uses less digits than its factorization.

1444335420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4971 (or 4969 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

The square root of 1444335420 is about 38004.4131647892. The cubic root of 1444335420 is about 1130.3753732422.

Adding to 1444335420 its reverse (245334441), we get a palindrome (1689669861).

The spelling of 1444335420 in words is "one billion, four hundred forty-four million, three hundred thirty-five thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 491 660 982 1473 1964 2455 2946 4457 4910 5401 5892 7365 8914 9820 10802 13371 14730 16203 17828 21604 22285 26742 27005 29460 32406 44570 49027 53484 54010 64812 66855 81015 89140 98054 108020 133710 147081 162030 196108 245135 267420 294162 324060 490270 588324 735405 980540 1470810 2188387 2941620 4376774 6565161 8753548 10941935 13130322 21883870 24072257 26260644 32825805 43767740 48144514 65651610 72216771 96289028 120361285 131303220 144433542 240722570 288867084 361083855 481445140 722167710 1444335420