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1377331444125 = 325371313453787
BaseRepresentation
bin10100000010101111010…
…110011111100110011101
311212200010121002211202100
4110002233112133212131
5140031233322203000
62532423132515313
7201336362051610
oct24025726374635
94780117084670
101377331444125
1149113976979a
121a2b2961bb39
139cb60404bc0
144a93db58177
1525c62ec0a00
hex140af59f99d

1377331444125 has 96 divisors (see below), whose sum is σ = 3055839591168. Its totient is φ = 581203555200.

The previous prime is 1377331444079. The next prime is 1377331444169. The reversal of 1377331444125 is 5214441337731.

1377331444125 is a `hidden beast` number, since 13 + 7 + 73 + 3 + 1 + 444 + 125 = 666.

It is not a de Polignac number, because 1377331444125 - 28 = 1377331443869 is a prime.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6624519 + ... + 6829268.

It is an arithmetic number, because the mean of its divisors is an integer number (31831662408).

Almost surely, 21377331444125 is an apocalyptic number.

1377331444125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1377331444125 is an abundant number, since it is smaller than the sum of its proper divisors (1678508147043).

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

1377331444125 is a wasteful number, since it uses less digits than its factorization.

1377331444125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13453828 (or 13453815 counting only the distinct ones).

The product of its digits is 846720, while the sum is 45.

The spelling of 1377331444125 in words is "one trillion, three hundred seventy-seven billion, three hundred thirty-one million, four hundred forty-four thousand, one hundred twenty-five".

Divisors: 1 3 5 7 9 13 15 21 25 35 39 45 63 65 75 91 105 117 125 175 195 225 273 315 325 375 455 525 585 819 875 975 1125 1365 1575 1625 2275 2625 2925 4095 4875 6825 7875 11375 14625 20475 34125 102375 13453787 40361361 67268935 94176509 121084083 174899231 201806805 282529527 336344675 470882545 524697693 605420415 847588581 874496155 1009034025 1224294617 1412647635 1574093079 1681723375 2354412725 2623488465 3027102075 3672883851 4237942905 4372480775 5045170125 6121473085 7063238175 7870465395 11018651553 11772063625 13117442325 15135510375 18364419255 21189714525 21862403875 30607365425 35316190875 39352326975 55093257765 65587211625 91822096275 105948572625 153036827125 196761634875 275466288825 459110481375 1377331444125