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44434477443444 = 223117313733659117
BaseRepresentation
bin10100001101001101101010…
…01111100110100101110100
312211022220011010120200100020
422012212311033212211310
521311003302211142234
6234300530033445140
712234166526302524
oct1206466517464564
9184286133520306
1044434477443444
1113181613126650
124b978487107b0
131ba41cb8a312a
14ad88d693d684
15520c9932e549
hex2869b53e6974

44434477443444 has 96 divisors (see below), whose sum is σ = 115492242773376. Its totient is φ = 13183602554880.

The previous prime is 44434477443437. The next prime is 44434477443463.

44434477443444 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×444344774434442 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15509427 + ... + 18149690.

It is an arithmetic number, because the mean of its divisors is an integer number (1203044195556).

Almost surely, 244434477443444 is an apocalyptic number.

44434477443444 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

44434477443444 is an abundant number, since it is smaller than the sum of its proper divisors (71057765329932).

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

44434477443444 is a wasteful number, since it uses less digits than its factorization.

44434477443444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33659345 (or 33659343 counting only the distinct ones).

The product of its digits is 462422016, while the sum is 60.

The spelling of 44434477443444 in words is "forty-four trillion, four hundred thirty-four billion, four hundred seventy-seven million, four hundred forty-three thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 73 132 137 146 219 274 292 411 438 548 803 822 876 1507 1606 1644 2409 3014 3212 4521 4818 6028 9042 9636 10001 18084 20002 30003 40004 60006 110011 120012 220022 330033 440044 660066 1320132 33659117 67318234 100977351 134636468 201954702 370250287 403909404 740500574 1110750861 1481001148 2221501722 2457115541 4443003444 4611299029 4914231082 7371346623 9222598058 9828462164 13833897087 14742693246 18445196116 27028270951 27667794174 29485386492 50724289319 54056541902 55335588348 81084812853 101448578638 108113083804 152172867957 162169625706 202897157276 304345735914 324339251412 336624829117 608691471828 673249658234 1009874487351 1346499316468 2019748974702 3702873120287 4039497949404 7405746240574 11108619360861 14811492481148 22217238721722 44434477443444