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1441325440 = 2756733613
BaseRepresentation
bin101010111101000…
…1110000110000000
310201110002220210201
41111322032012000
510422434403230
6355004334544
750501030662
oct12572160600
93643086721
101441325440
1167a655155
12342844454
1319c7ba6b9
14d95cc532
15868095ca
hex55e8e180

1441325440 has 64 divisors (see below), whose sum is σ = 3497200560. Its totient is φ = 567908352.

The previous prime is 1441325419. The next prime is 1441325443. The reversal of 1441325440 is 445231441.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 1441325399 and 1441325408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1441325443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26074 + ... + 59686.

Almost surely, 21441325440 is an apocalyptic number.

1441325440 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 1441325440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1748600280).

1441325440 is an abundant number, since it is smaller than the sum of its proper divisors (2055875120).

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

1441325440 is an equidigital number, since it uses as much as digits as its factorization.

1441325440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33699 (or 33687 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 28.

The square root of 1441325440 is about 37964.7921105858. The cubic root of 1441325440 is about 1129.5895969638.

Adding to 1441325440 its reverse (445231441), we get a palindrome (1886556881).

The spelling of 1441325440 in words is "one billion, four hundred forty-one million, three hundred twenty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 67 80 128 134 160 268 320 335 536 640 670 1072 1340 2144 2680 4288 5360 8576 10720 21440 33613 42880 67226 134452 168065 268904 336130 537808 672260 1075616 1344520 2151232 2252071 2689040 4302464 4504142 5378080 9008284 10756160 11260355 18016568 21512320 22520710 36033136 45041420 72066272 90082840 144132544 180165680 288265088 360331360 720662720 1441325440