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1444443520 = 275131391249
BaseRepresentation
bin101011000011000…
…0111010110000000
310201122222100000011
41112012013112000
510424234143040
6355155234304
750536365412
oct12606072600
93648870004
101444443520
11681394883
123438a8994
131a033ca10
14d9ba09b2
1586c233ea
hex56187580

1444443520 has 128 divisors (see below), whose sum is σ = 3748500000. Its totient is φ = 529072128.

The previous prime is 1444443499. The next prime is 1444443523. The reversal of 1444443520 is 253444441.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1444443523) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1155856 + ... + 1157104.

Almost surely, 21444443520 is an apocalyptic number.

1444443520 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 1444443520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1874250000).

1444443520 is an abundant number, since it is smaller than the sum of its proper divisors (2304056480).

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

1444443520 is a wasteful number, since it uses less digits than its factorization.

1444443520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1420 (or 1408 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 31.

The square root of 1444443520 is about 38005.8353414315. The cubic root of 1444443520 is about 1130.4035731852.

Adding to 1444443520 its reverse (253444441), we get a palindrome (1697887961).

It can be divided in two parts, 144 and 4443520, that added together give a square (4443664 = 21082).

The spelling of 1444443520 in words is "one billion, four hundred forty-four million, four hundred forty-three thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 128 130 139 160 208 260 278 320 416 520 556 640 695 832 1040 1112 1249 1390 1664 1807 2080 2224 2498 2780 3614 4160 4448 4996 5560 6245 7228 8320 8896 9035 9992 11120 12490 14456 16237 17792 18070 19984 22240 24980 28912 32474 36140 39968 44480 49960 57824 64948 72280 79936 81185 88960 99920 115648 129896 144560 159872 162370 173611 199840 231296 259792 289120 324740 347222 399680 519584 578240 649480 694444 799360 868055 1039168 1156480 1298960 1388888 1736110 2078336 2256943 2597920 2777776 3472220 4513886 5195840 5555552 6944440 9027772 10391680 11111104 11284715 13888880 18055544 22222208 22569430 27777760 36111088 45138860 55555520 72222176 90277720 111111040 144444352 180555440 288888704 361110880 722221760 1444443520