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10444007071000 = 235359177017069
BaseRepresentation
bin1001011111111010111101…
…0101001101110100011000
31100222102210210212110100201
42113332233111031310120
52332103311302233000
634113524405311544
72125361142232666
oct227765725156430
940872723773321
1010444007071000
113367307798188
121208150a055b4
135a9b33a75139
142816c7b33c36
15131a14ee396a
hex97faf54dd18

10444007071000 has 64 divisors (see below), whose sum is σ = 24853196628000. Its totient is φ = 4106795977600.

The previous prime is 10444007070979. The next prime is 10444007071013. The reversal of 10444007071000 is 17070044401.

It is a self number, because there is not a number n which added to its sum of digits gives 10444007071000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 88449535 + ... + 88567534.

Almost surely, 210444007071000 is an apocalyptic number.

10444007071000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10444007071000 is an abundant number, since it is smaller than the sum of its proper divisors (14409189557000).

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

10444007071000 is a wasteful number, since it uses less digits than its factorization.

10444007071000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177017149 (or 177017135 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 28.

The spelling of 10444007071000 in words is "ten trillion, four hundred forty-four billion, seven million, seventy-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 59 100 118 125 200 236 250 295 472 500 590 1000 1180 1475 2360 2950 5900 7375 11800 14750 29500 59000 177017069 354034138 708068276 885085345 1416136552 1770170690 3540341380 4425426725 7080682760 8850853450 10444007071 17701706900 20888014142 22127133625 35403413800 41776028284 44254267250 52220035355 83552056568 88508534500 104440070710 177017069000 208880141420 261100176775 417760282840 522200353550 1044400707100 1305500883875 2088801414200 2611001767750 5222003535500 10444007071000