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39844780434 = 23223229313461
BaseRepresentation
bin100101000110111011…
…110001100110010010
310210211211222120021200
4211012323301212102
51123100230433214
630145431532030
72610251021424
oct450673614622
9123754876250
1039844780434
1115997381308
12787bb2a016
1339acb76974
141cddb24814
151083075d09
hex946ef1992

39844780434 has 144 divisors (see below), whose sum is σ = 93860446680. Its totient is φ = 12200348160.

The previous prime is 39844780427. The next prime is 39844780439. The reversal of 39844780434 is 43408744893.

39844780434 is a `hidden beast` number, since 3 + 98 + 4 + 47 + 80 + 434 = 666.

39844780434 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 18345889809 + 21498890625 = 135447^2 + 146625^2 .

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (39844780439) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 86430964 + ... + 86431424.

Almost surely, 239844780434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 39844780434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46930223340).

39844780434 is an abundant number, since it is smaller than the sum of its proper divisors (54015666246).

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

39844780434 is a wasteful number, since it uses less digits than its factorization.

39844780434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 857 (or 831 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 54.

The spelling of 39844780434 in words is "thirty-nine billion, eight hundred forty-four million, seven hundred eighty thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 18 23 29 46 58 69 87 138 174 207 261 313 414 461 522 529 626 667 922 939 1058 1334 1383 1587 1878 2001 2766 2817 3174 4002 4149 4761 5634 6003 7199 8298 9077 9522 10603 12006 13369 14398 15341 18154 21206 21597 26738 27231 30682 31809 40107 43194 46023 54462 63618 64791 80214 81693 92046 95427 120321 129582 138069 144293 163386 165577 190854 208771 240642 243869 276138 288586 307487 331154 417542 432879 487738 496731 614974 626313 731607 865758 922461 993462 1252626 1298637 1463214 1490193 1844922 1878939 2194821 2597274 2767383 2980386 3318739 3757878 4184497 4389642 4801733 5534766 6637478 7072201 8368994 9603466 9956217 12553491 14144402 14405199 19912434 21216603 25106982 28810398 29868651 37660473 42433206 43215597 59737302 63649809 75320946 76330997 86431194 96243431 127299618 152661994 192486862 228992991 288730293 457985982 577460586 686978973 866190879 1373957946 1732381758 2213598913 4427197826 6640796739 13281593478 19922390217 39844780434