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444413124112 = 242323346111243
BaseRepresentation
bin1100111011110010001…
…01100001111000010000
31120111002220200211200111
412131321011201320100
524240124224432422
6540054403331104
744051654140606
oct6357105417020
91514086624614
10444413124112
11161524693951
1272169080a94
1332ba5a9a439
141771c903876
15b860a5ca77
hex6779161e10

444413124112 has 80 divisors (see below), whose sum is σ = 904381365888. Its totient is φ = 211155338240.

The previous prime is 444413124091. The next prime is 444413124157. The reversal of 444413124112 is 211421314444.

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, 39522363 + ... + 39533605.

Almost surely, 2444413124112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 444413124112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452190682944).

444413124112 is an abundant number, since it is smaller than the sum of its proper divisors (459968241776).

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

444413124112 is a wasteful number, since it uses less digits than its factorization.

444413124112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11968 (or 11962 counting only the distinct ones).

The product of its digits is 12288, while the sum is 31.

Adding to 444413124112 its reverse (211421314444), we get a palindrome (655834438556).

The spelling of 444413124112 in words is "four hundred forty-four billion, four hundred thirteen million, one hundred twenty-four thousand, one hundred twelve".

Divisors: 1 2 4 8 16 23 46 92 184 233 368 461 466 922 932 1844 1864 3688 3728 5359 7376 10603 10718 11243 21206 21436 22486 42412 42872 44972 84824 85744 89944 107413 169648 179888 214826 258589 429652 517178 859304 1034356 1718608 2068712 2470499 2619619 4137424 4940998 5183023 5239238 9881996 10366046 10478476 19763992 20732092 20956952 39527984 41464184 41913904 60251237 82928368 119209529 120502474 238419058 241004948 476838116 482009896 953676232 964019792 1207644359 1907352464 2415288718 4830577436 9661154872 19322309744 27775820257 55551640514 111103281028 222206562056 444413124112