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1442172416720 = 24572575307887
BaseRepresentation
bin10100111111001000001…
…011001011001011010000
312002212111110211112110212
4110333020023023023100
5142112032114313340
63022305211543252
7206123243165210
oct24771013131320
95085443745425
101442172416720
11506692806152
121b360475ab28
13a5cc4a80ac9
144db31514240
15277aa715a65
hex14fc82cb2d0

1442172416720 has 40 divisors (see below), whose sum is σ = 3832058137344. Its totient is φ = 494459114112.

The previous prime is 1442172416693. The next prime is 1442172416723. The reversal of 1442172416720 is 276142712441.

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

It is a super-2 number, since 2×14421724167202 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1442172416723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1287653384 + ... + 1287654503.

Almost surely, 21442172416720 is an apocalyptic number.

1442172416720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1442172416720 is an abundant number, since it is smaller than the sum of its proper divisors (2389885720624).

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

1442172416720 is a wasteful number, since it uses less digits than its factorization.

1442172416720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2575307907 (or 2575307901 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 41.

The spelling of 1442172416720 in words is "one trillion, four hundred forty-two billion, one hundred seventy-two million, four hundred sixteen thousand, seven hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 2575307887 5150615774 10301231548 12876539435 18027155209 20602463096 25753078870 36054310418 41204926192 51506157740 72108620836 90135776045 103012315480 144217241672 180271552090 206024630960 288434483344 360543104180 721086208360 1442172416720