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1377457414014 = 2311831571601609
BaseRepresentation
bin10100000010110110110…
…111000001111101111110
311212200110101010202221210
4110002312313001331332
5140032013044222024
62532443432505250
7201342451556013
oct24026667017576
94780411122853
101377457414014
114911a3888840
121a2b6384b226
139cb8053c1b6
144a95278970a
1525c6e0a5129
hex140b6dc1f7e

1377457414014 has 64 divisors (see below), whose sum is σ = 3060945780480. Its totient is φ = 409755390720.

The previous prime is 1377457414001. The next prime is 1377457414033. The reversal of 1377457414014 is 4104147547731.

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 31 ways as a sum of consecutive naturals, for example, 59242 + ... + 1660850.

It is an arithmetic number, because the mean of its divisors is an integer number (47827277820).

Almost surely, 21377457414014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1377457414014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1530472890240).

1377457414014 is an abundant number, since it is smaller than the sum of its proper divisors (1683488366466).

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

1377457414014 is a wasteful number, since it uses less digits than its factorization.

1377457414014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1601865.

The product of its (nonzero) digits is 1317120, while the sum is 48.

The spelling of 1377457414014 in words is "one trillion, three hundred seventy-seven billion, four hundred fifty-seven million, four hundred fourteen thousand, fourteen".

Divisors: 1 2 3 6 11 22 33 66 83 157 166 249 314 471 498 913 942 1727 1826 2739 3454 5181 5478 10362 13031 26062 39093 78186 143341 286682 430023 860046 1601609 3203218 4804827 9609654 17617699 35235398 52853097 105706194 132933547 251452613 265867094 398800641 502905226 754357839 797601282 1462269017 1508715678 2765978743 2924538034 4386807051 5531957486 8297936229 8773614102 16595872458 20870566879 41741133758 62611700637 125223401274 229576235669 459152471338 688728707007 1377457414014