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1399299726400 = 2652295732
BaseRepresentation
bin10100010111001100110…
…000110101110001000000
311221202211121022012200121
4110113030300311301000
5140411231212221100
62550455053230024
7203044644266032
oct24271460656100
94852747265617
101399299726400
1149a492241384
121a723a792314
13a1c518000b4
144ba255ddc52
15265eb93651a
hex145ccc35c40

1399299726400 has 63 divisors (see below), whose sum is σ = 3443268322111. Its totient is φ = 559700963840.

The previous prime is 1399299726389. The next prime is 1399299726481. The reversal of 1399299726400 is 46279929931.

The square root of 1399299726400 is 1182920.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 388647509056 + 1010652217344 = 623416^2 + 1005312^2 .

It is a super-2 number, since 2×13992997264002 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 47302014 + ... + 47331586.

Almost surely, 21399299726400 is an apocalyptic number.

1399299726400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1399299726400 is the 1182920-th square number.

It is an amenable number.

1399299726400 is an abundant number, since it is smaller than the sum of its proper divisors (2043968595711).

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

1399299726400 is an frugal number, since it uses more digits than its factorization.

1399299726400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59168 (or 29580 counting only the distinct ones).

The product of its (nonzero) digits is 13226976, while the sum is 61.

The spelling of 1399299726400 in words is "one trillion, three hundred ninety-nine billion, two hundred ninety-nine million, seven hundred twenty-six thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 160 200 320 400 800 1600 29573 59146 118292 147865 236584 295730 473168 591460 739325 946336 1182920 1478650 1892672 2365840 2957300 4731680 5914600 9463360 11829200 23658400 47316800 874562329 1749124658 3498249316 4372811645 6996498632 8745623290 13992997264 17491246580 21864058225 27985994528 34982493160 43728116450 55971989056 69964986320 87456232900 139929972640 174912465800 279859945280 349824931600 699649863200 1399299726400