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1441353918096 = 2434333492
BaseRepresentation
bin10100111110010111011…
…000110110011010010000
312002210101102200111110000
4110332113120312122100
5142103343100334341
63022052052410000
7206064044104641
oct24762730663220
95083342614400
101441353918096
11506302790004
121b3416616900
13a5bc4321cb1
144da949316c8
152775d9378b6
hex14f97636690

1441353918096 has 75 divisors (see below), whose sum is σ = 4171821505401. Its totient is φ = 480436899264.

The previous prime is 1441353918091. The next prime is 1441353918101. The reversal of 1441353918096 is 6908193531441.

The square root of 1441353918096 is 1200564.

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

1441353918096 is a `hidden beast` number, since 1 + 4 + 4 + 1 + 3 + 539 + 18 + 0 + 96 = 666.

It is an interprime number because it is at equal distance from previous prime (1441353918091) and next prime (1441353918101).

It can be written as a sum of positive squares in only one way, i.e., 1402718084496 + 38635833600 = 1184364^2 + 196560^2 .

It is a super-2 number, since 2×14413539180962 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (1441353918091) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 43203630 + ... + 43236978.

Almost surely, 21441353918096 is an apocalyptic number.

1441353918096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1441353918096 is the 1200564-th square number.

It is an amenable number.

1441353918096 is an abundant number, since it is smaller than the sum of its proper divisors (2730467587305).

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

1441353918096 is an frugal number, since it uses more digits than its factorization.

1441353918096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66718 (or 33354 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 1441353918096 in words is "one trillion, four hundred forty-one billion, three hundred fifty-three million, nine hundred eighteen thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 33349 66698 100047 133396 200094 266792 300141 400188 533584 600282 800376 900423 1200564 1600752 1800846 2401128 2701269 3601692 4802256 5402538 7203384 10805076 14406768 21610152 43220304 1112155801 2224311602 3336467403 4448623204 6672934806 8897246408 10009402209 13345869612 17794492816 20018804418 26691739224 30028206627 40037608836 53383478448 60056413254 80075217672 90084619881 120112826508 160150435344 180169239762 240225653016 360338479524 480451306032 720676959048 1441353918096