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1444315871430 = 232575721199411
BaseRepresentation
bin10101000001000111111…
…011110011100011000110
312010002000212010022120100
4111001013323303203012
5142130424330341210
63023302021344530
7206230331226255
oct25010773634306
95102025108510
101444315871430
11507592724423
121b3b02568146
13a6276b74ac3
144dc9607279c
15278839b35c0
hex15047ef38c6

1444315871430 has 48 divisors (see below), whose sum is σ = 3760182105264. Its totient is φ = 384642095040.

The previous prime is 1444315871353. The next prime is 1444315871489. The reversal of 1444315871430 is 341785134441.

1444315871430 is a `hidden beast` number, since 1 + 4 + 4 + 4 + 31 + 587 + 1 + 4 + 30 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10531576 + ... + 10667835.

It is an arithmetic number, because the mean of its divisors is an integer number (78337127193).

Almost surely, 21444315871430 is an apocalyptic number.

1444315871430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1444315871430 is an abundant number, since it is smaller than the sum of its proper divisors (2315866233834).

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

1444315871430 is a wasteful number, since it uses less digits than its factorization.

1444315871430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21200181 (or 21200178 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 1444315871430 in words is "one trillion, four hundred forty-four billion, three hundred fifteen million, eight hundred seventy-one thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 757 1514 2271 3785 4542 6813 7570 11355 13626 22710 34065 68130 21199411 42398822 63598233 105997055 127196466 190794699 211994110 317991165 381589398 635982330 953973495 1907946990 16047954127 32095908254 48143862381 80239770635 96287724762 144431587143 160479541270 240719311905 288863174286 481438623810 722157935715 1444315871430