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1383821254704 = 2437219127243829
BaseRepresentation
bin10100001000110010001…
…011001010000000110000
311220021212212211101020010
4110020302023022000300
5140133031220122304
62535415124014520
7201656244405300
oct24106213120060
94807785741203
101383821254704
1149396a027509
121a423ab31440
13a0655ac8bc5
144ad97a29600
1525ee2b0c789
hex142322ca030

1383821254704 has 240 divisors, whose sum is σ = 4411879526400. Its totient is φ = 371617279488.

The previous prime is 1383821254681. The next prime is 1383821254741. The reversal of 1383821254704 is 4074521283831.

It is a happy number.

It is a super-2 number, since 2×13838212547042 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5553462 + ... + 5797290.

It is an arithmetic number, because the mean of its divisors is an integer number (18382831360).

Almost surely, 21383821254704 is an apocalyptic number.

1383821254704 is a gapful number since it is divisible by the number (14) 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 1383821254704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2205939763200).

1383821254704 is an abundant number, since it is smaller than the sum of its proper divisors (3028058271696).

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

1383821254704 is a wasteful number, since it uses less digits than its factorization.

1383821254704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244000 (or 243987 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 48.

The spelling of 1383821254704 in words is "one trillion, three hundred eighty-three billion, eight hundred twenty-one million, two hundred fifty-four thousand, seven hundred four".