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1444555001620 = 2254110923576857
BaseRepresentation
bin10101000001010110001…
…100000000111100010100
312010002122112002101112001
4111001112030000330110
5142131422040022440
63023341443005044
7206236263626653
oct25012614007424
95102575071461
101444555001620
115076a5703485
121b3b6a669784
13a62b457ca63
144dcb9b1d19a
152789999bb9a
hex15056300f14

1444555001620 has 96 divisors (see below), whose sum is σ = 3137852662560. Its totient is φ = 558238556160.

The previous prime is 1444555001611. The next prime is 1444555001629. The reversal of 1444555001620 is 261005554441.

It is an interprime number because it is at equal distance from previous prime (1444555001611) and next prime (1444555001629).

It can be written as a sum of positive squares in 16 ways, for example, as 1221427253124 + 223127748496 = 1105182^2 + 472364^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1444555001620.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1444555001629) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 210665232 + ... + 210672088.

It is an arithmetic number, because the mean of its divisors is an integer number (32685965235).

Almost surely, 21444555001620 is an apocalyptic number.

1444555001620 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 1444555001620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1568926331280).

1444555001620 is an abundant number, since it is smaller than the sum of its proper divisors (1693297660940).

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

1444555001620 is a wasteful number, since it uses less digits than its factorization.

1444555001620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9373 (or 9371 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 37.

The spelling of 1444555001620 in words is "one trillion, four hundred forty-four billion, five hundred fifty-five million, one thousand, six hundred twenty".

Divisors: 1 2 4 5 10 20 41 82 109 164 205 218 410 436 545 820 1090 2180 2357 4469 4714 6857 8938 9428 11785 13714 17876 22345 23570 27428 34285 44690 47140 68570 89380 96637 137140 193274 256913 281137 386548 483185 513826 562274 747413 966370 1027652 1124548 1284565 1405685 1494826 1932740 2569130 2811370 2989652 3737065 5138260 5622740 7474130 10533433 14948260 16161949 21066866 30643933 32323898 42133732 52667165 61287866 64647796 80809745 105334330 122575732 153219665 161619490 210668660 306439330 323238980 612878660 662639909 1325279818 1761652441 2650559636 3313199545 3523304882 6626399090 7046609764 8808262205 13252798180 17616524410 35233048820 72227750081 144455500162 288911000324 361138750405 722277500810 1444555001620