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1444801540 = 2257131097283
BaseRepresentation
bin101011000011101…
…1110110000000100
310201200122112010011
41112013132300010
510424332122130
6355211040004
750542416250
oct12607366004
93650575104
101444801540
11681609866
12343a40004
131a0436970
14d9c55260
1586c9452a
hex561dec04

1444801540 has 96 divisors (see below), whose sum is σ = 3769032960. Its totient is φ = 452998656.

The previous prime is 1444801537. The next prime is 1444801597. The reversal of 1444801540 is 451084441.

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, 194739 + ... + 202021.

It is an arithmetic number, because the mean of its divisors is an integer number (39260760).

Almost surely, 21444801540 is an apocalyptic number.

1444801540 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 1444801540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1884516480).

1444801540 is an abundant number, since it is smaller than the sum of its proper divisors (2324231420).

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

1444801540 is a wasteful number, since it uses less digits than its factorization.

1444801540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7421 (or 7419 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 31.

The square root of 1444801540 is about 38010.5451157965. The cubic root of 1444801540 is about 1130.4969594730.

Adding to 1444801540 its reverse (451084441), we get a palindrome (1895885981).

The spelling of 1444801540 in words is "one billion, four hundred forty-four million, eight hundred one thousand, five hundred forty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 65 70 91 109 130 140 182 218 260 364 436 455 545 763 910 1090 1417 1526 1820 2180 2834 3052 3815 5668 7085 7283 7630 9919 14170 14566 15260 19838 28340 29132 36415 39676 49595 50981 72830 94679 99190 101962 145660 189358 198380 203924 254905 378716 473395 509810 662753 793847 946790 1019620 1325506 1587694 1893580 2651012 3175388 3313765 3969235 5556929 6627530 7938470 10320011 11113858 13255060 15876940 20640022 22227716 27784645 41280044 51600055 55569290 72240077 103200110 111138580 144480154 206400220 288960308 361200385 722400770 1444801540