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444104453120 = 2105175102303
BaseRepresentation
bin1100111011001101011…
…00000010110000000000
31120110022101212201200112
412131212230002300000
524234011214444440
6540004015410452
744041215365306
oct6354654026000
91513271781615
10444104453120
11161386427859
12720a1823a28
1332b56b54993
14176cd914276
15b8438d9965
hex6766b02c00

444104453120 has 88 divisors (see below), whose sum is σ = 1127996959104. Its totient is φ = 167192231936.

The previous prime is 444104453113. The next prime is 444104453123. The reversal of 444104453120 is 21354401444.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (444104453123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2464112 + ... + 2638191.

Almost surely, 2444104453120 is an apocalyptic number.

444104453120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

444104453120 is an abundant number, since it is smaller than the sum of its proper divisors (683892505984).

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

444104453120 is a wasteful number, since it uses less digits than its factorization.

444104453120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5102345 (or 5102327 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 32.

Adding to 444104453120 its reverse (21354401444), we get a palindrome (465458854564).

The spelling of 444104453120 in words is "four hundred forty-four billion, one hundred four million, four hundred fifty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 128 136 160 170 256 272 320 340 512 544 640 680 1024 1088 1280 1360 2176 2560 2720 4352 5120 5440 8704 10880 17408 21760 43520 87040 5102303 10204606 20409212 25511515 40818424 51023030 81636848 86739151 102046060 163273696 173478302 204092120 326547392 346956604 408184240 433695755 653094784 693913208 816368480 867391510 1306189568 1387826416 1632736960 1734783020 2612379136 2775652832 3265473920 3469566040 5224758272 5551305664 6530947840 6939132080 11102611328 13061895680 13878264160 22205222656 26123791360 27756528320 44410445312 55513056640 88820890624 111026113280 222052226560 444104453120