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1444431131440 = 245111641399013
BaseRepresentation
bin10101000001001110110…
…011011111001100110000
312010002022220000010120121
4111001032303133030300
5142131143332201230
63023321300020024
7206233231016263
oct25011663371460
95102286003517
101444431131440
11507641798a30
121b3b35091614
13a62949cc3ab
144dca74b6cda
152788db7e77a
hex1504ecdf330

1444431131440 has 40 divisors (see below), whose sum is σ = 3663602599248. Its totient is φ = 525247683840.

The previous prime is 1444431131359. The next prime is 1444431131491. The reversal of 1444431131440 is 441311344441.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 1444431131396 and 1444431131405.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 820698627 + ... + 820700386.

Almost surely, 21444431131440 is an apocalyptic number.

1444431131440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1444431131440 is an abundant number, since it is smaller than the sum of its proper divisors (2219171467808).

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

1444431131440 is a wasteful number, since it uses less digits than its factorization.

1444431131440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1641399037 (or 1641399031 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 34.

Adding to 1444431131440 its reverse (441311344441), we get a palindrome (1885742475881).

The spelling of 1444431131440 in words is "one trillion, four hundred forty-four billion, four hundred thirty-one million, one hundred thirty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 1641399013 3282798026 6565596052 8206995065 13131192104 16413990130 18055389143 26262384208 32827980260 36110778286 65655960520 72221556572 90276945715 131311921040 144443113144 180553891430 288886226288 361107782860 722215565720 1444431131440