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44666312124132 = 223217323330780493
BaseRepresentation
bin10100010011111101011111…
…01010101110011011100100
312212011001120002102200222100
422021332233222232123210
521323303101400433012
6234555230455332100
712260014565464626
oct1211765752563344
9185131502380870
1044666312124132
1113260970822606
125014769681030
131bc00273caa6a
14b05c0a9acc16
15526d174d68dc
hex289fafaae6e4

44666312124132 has 72 divisors (see below), whose sum is σ = 114046532027064. Its totient is φ = 14739177033216.

The previous prime is 44666312124103. The next prime is 44666312124139. The reversal of 44666312124132 is 23142121366644.

It can be written as a sum of positive squares in 4 ways, for example, as 4821256581696 + 39845055542436 = 2195736^2 + 6312294^2 .

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (44666312124139) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13939123 + ... + 16841370.

It is an arithmetic number, because the mean of its divisors is an integer number (1583979611487).

Almost surely, 244666312124132 is an apocalyptic number.

It is an amenable number.

44666312124132 is an abundant number, since it is smaller than the sum of its proper divisors (69380219902932).

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

44666312124132 is a wasteful number, since it uses less digits than its factorization.

44666312124132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30780909 (or 30780904 counting only the distinct ones).

The product of its digits is 995328, while the sum is 45.

The spelling of 44666312124132 in words is "forty-four trillion, six hundred sixty-six billion, three hundred twelve million, one hundred twenty-four thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 173 233 346 466 519 692 699 932 1038 1398 1557 2076 2097 2796 3114 4194 6228 8388 40309 80618 120927 161236 241854 362781 483708 725562 1451124 30780493 61560986 92341479 123121972 184682958 277024437 369365916 554048874 1108097748 5325025289 7171854869 10650050578 14343709738 15975075867 21300101156 21515564607 28687419476 31950151734 43031129214 47925227601 63900303468 64546693821 86062258428 95850455202 129093387642 191700910404 258186775284 1240730892337 2481461784674 3722192677011 4962923569348 7444385354022 11166578031033 14888770708044 22333156062066 44666312124132