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1444433340 = 2235717919213
BaseRepresentation
bin101011000011000…
…0100110110111100
310201122221211001010
41112012010312330
510424233331330
6355155115220
750536323630
oct12606046674
93648854033
101444433340
11681388169
123438a2b10
131a03381ac
14d9b9adc0
1586c203b0
hex56184dbc

1444433340 has 96 divisors (see below), whose sum is σ = 4648250880. Its totient is φ = 328294656.

The previous prime is 1444433329. The next prime is 1444433351. The reversal of 1444433340 is 433344441.

It is an interprime number because it is at equal distance from previous prime (1444433329) and next prime (1444433351).

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 = 1444433298 and 1444433307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 65574 + ... + 84786.

It is an arithmetic number, because the mean of its divisors is an integer number (48419280).

Almost surely, 21444433340 is an apocalyptic number.

1444433340 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 1444433340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2324125440).

1444433340 is an abundant number, since it is smaller than the sum of its proper divisors (3203817540).

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

1444433340 is a wasteful number, since it uses less digits than its factorization.

1444433340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19411 (or 19409 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

The square root of 1444433340 is about 38005.7014143931. The cubic root of 1444433340 is about 1130.4009175984.

Adding to 1444433340 its reverse (433344441), we get a palindrome (1877777781).

The spelling of 1444433340 in words is "one billion, four hundred forty-four million, four hundred thirty-three thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 179 210 358 420 537 716 895 1074 1253 1790 2148 2506 2685 3580 3759 5012 5370 6265 7518 10740 12530 15036 18795 19213 25060 37590 38426 57639 75180 76852 96065 115278 134491 192130 230556 268982 288195 384260 403473 537964 576390 672455 806946 1152780 1344910 1613892 2017365 2689820 3439127 4034730 6878254 8069460 10317381 13756508 17195635 20634762 24073889 34391270 41269524 48147778 51586905 68782540 72221667 96295556 103173810 120369445 144443334 206347620 240738890 288886668 361108335 481477780 722216670 1444433340