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1378446448731 = 311241672715101
BaseRepresentation
bin10100000011110001110…
…011111001100001011011
311212210000022011221112020
4110003301303321201123
5140041024242324411
62533125523145523
7201406121330112
oct24036163714133
94783008157466
101378446448731
114916610a2200
121a319ab152a3
139ccaa40a341
144aa07c80c79
1525ccad1c606
hex140f1cf985b

1378446448731 has 96 divisors (see below), whose sum is σ = 2108527131648. Its totient is φ = 799761600000.

The previous prime is 1378446448721. The next prime is 1378446448777.

1378446448731 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1378446448731 - 25 = 1378446448699 is a prime.

It is a super-2 number, since 2×13784464487312 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1378446448711) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 270228081 + ... + 270233181.

It is an arithmetic number, because the mean of its divisors is an integer number (21963824288).

Almost surely, 21378446448731 is an apocalyptic number.

1378446448731 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1378446448731 is a deficient number, since it is larger than the sum of its proper divisors (730080682917).

1378446448731 is a wasteful number, since it uses less digits than its factorization.

1378446448731 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5505 (or 5494 counting only the distinct ones).

The product of its digits is 43352064, while the sum is 60.

The spelling of 1378446448731 in words is "one trillion, three hundred seventy-eight billion, four hundred forty-six million, four hundred forty-eight thousand, seven hundred thirty-one".

Divisors: 1 3 11 33 41 67 121 123 201 271 363 451 737 813 1353 2211 2747 2981 4961 5101 8107 8241 8943 11111 14883 15303 18157 24321 30217 32791 33333 54471 56111 90651 98373 122221 168333 199727 209141 332387 341767 366663 599181 617221 627423 744437 997161 1025301 1344431 1382371 1851663 2196997 2233311 2300551 3759437 4033293 4147113 6590991 6901653 8188807 11278311 14012447 15206081 24566421 25306061 41353807 42037341 45618243 56677211 75918183 90076877 92618857 124061421 154136917 167266891 170031633 270230631 277856571 462410751 501800673 623449321 1018807427 1695506087 1870347963 3056422281 3797373137 5086518261 6857942531 11206881697 11392119411 20573827593 33620645091 41771104507 125313313521 459482149577 1378446448731