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44401066010444 = 2211213191111733409
BaseRepresentation
bin10100001100001111011011…
…10001000110011101001100
312211012200220122002000122202
422012013231301012131030
521304431340344313234
6234233322414501032
712231604543641053
oct1206075561063514
9184180818060582
1044401066010444
1113169428258500
124b91283204778
131ba1005811330
14ad70473cd39a
1551ee90e9077e
hex2861edc4674c

44401066010444 has 144 divisors (see below), whose sum is σ = 96830206418400. Its totient is φ = 17647185346560.

The previous prime is 44401066010429. The next prime is 44401066010449.

44401066010444 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a junction number, because it is equal to n+sod(n) for n = 44401066010398 and 44401066010407.

It is not an unprimeable number, because it can be changed into a prime (44401066010449) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1328998412 + ... + 1329031820.

Almost surely, 244401066010444 is an apocalyptic number.

44401066010444 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

44401066010444 is an abundant number, since it is smaller than the sum of its proper divisors (52429140407956).

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

44401066010444 is a wasteful number, since it uses less digits than its factorization.

44401066010444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44584 (or 44571 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 38.

The spelling of 44401066010444 in words is "forty-four trillion, four hundred one billion, sixty-six million, ten thousand, four hundred forty-four".

Divisors: 1 2 4 11 13 19 22 26 38 44 52 76 121 143 209 242 247 286 418 484 494 572 836 988 1573 2299 2717 3146 4598 5434 6292 9196 10868 11117 22234 29887 33409 44468 59774 66818 119548 122287 133636 144521 211223 244574 289042 367499 422446 434317 489148 578084 634771 734998 844892 868634 1269542 1345157 1469996 1589731 1737268 2323453 2539084 2690314 2745899 3179462 4042489 4646906 4777487 5380628 5491798 6358924 6982481 8084978 8252023 9293812 9554974 10983596 13964962 16169956 16504046 17487041 19109948 25557983 27929924 30204889 33008092 34974082 51115966 52552357 60409778 69948164 76807291 90772253 102231932 105104714 120819556 153614582 181544506 210209428 307229164 332253779 363089012 371407853 664507558 742815706 998494783 1329015116 1485631412 1996989566 3993979132 4085486383 4828302089 7056749207 8170972766 9656604178 14113498414 16341945532 19313208356 28226996828 44940350213 53111322979 77624241277 89880700426 91737739691 106222645958 155248482554 179761400852 183475479382 212445291916 310496965108 366950958764 584224552769 853866654047 1009115136601 1168449105538 1707733308094 2018230273202 2336898211076 3415466616188 4036460546404 11100266502611 22200533005222 44401066010444