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1444494287334 = 237312234975079
BaseRepresentation
bin10101000001010010100…
…100011010000111100110
312010002111021211210011210
4111001102210122013212
5142131311014143314
63023331433412250
7206234625566250
oct25012244320746
95102437753153
101444494287334
1150767440498a
121b3b5226a086
13a62a4b12947
144dcb1a36cd0
15278944a7559
hex1505291a1e6

1444494287334 has 64 divisors (see below), whose sum is σ = 3423491850240. Its totient is φ = 397608233760.

The previous prime is 1444494287311. The next prime is 1444494287339. The reversal of 1444494287334 is 4337824944441.

It is a happy number.

It is a super-2 number, since 2×14444942873342 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1444494287339) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 2197194 + ... + 2777885.

It is an arithmetic number, because the mean of its divisors is an integer number (53492060160).

Almost surely, 21444494287334 is an apocalyptic number.

1444494287334 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

1444494287334 is an abundant number, since it is smaller than the sum of its proper divisors (1978997562906).

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

1444494287334 is a wasteful number, since it uses less digits than its factorization.

1444494287334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4975345.

The product of its digits is 37158912, while the sum is 57.

The spelling of 1444494287334 in words is "one trillion, four hundred forty-four billion, four hundred ninety-four million, two hundred eighty-seven thousand, three hundred thirty-four".

Divisors: 1 2 3 6 7 14 21 31 42 62 93 186 217 223 434 446 651 669 1302 1338 1561 3122 4683 6913 9366 13826 20739 41478 48391 96782 145173 290346 4975079 9950158 14925237 29850474 34825553 69651106 104476659 154227449 208953318 308454898 462682347 925364694 1079592143 1109442617 2159184286 2218885234 3238776429 3328327851 6477552858 6656655702 7766098319 15532196638 23298294957 34392721127 46596589914 68785442254 103178163381 206356326762 240749047889 481498095778 722247143667 1444494287334