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44413404344442 = 23872711784213
BaseRepresentation
bin10100001100100110011010…
…01100000111000001111010
312211020212202111211100000000
422012103031030013001322
521310132123003010232
6234243123012053430
712232522364023230
oct1206231514070172
9184225674740000
1044413404344442
1113173689996451
124b93747304276
131ba2220aa6093
14ad7897d1c950
1552046429327c
hex2864cd30707a

44413404344442 has 144 divisors (see below), whose sum is σ = 114621561430272. Its totient is φ = 12642712126560.

The previous prime is 44413404344429. The next prime is 44413404344443. The reversal of 44413404344442 is 24444340431444.

It is a happy number.

44413404344442 is a `hidden beast` number, since 4 + 4 + 4 + 134 + 0 + 434 + 44 + 42 = 666.

It is not an unprimeable number, because it can be changed into a prime (44413404344443) 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, 24000328 + ... + 25784540.

It is an arithmetic number, because the mean of its divisors is an integer number (795983065488).

Almost surely, 244413404344442 is an apocalyptic number.

44413404344442 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 44413404344442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57310780715136).

44413404344442 is an abundant number, since it is smaller than the sum of its proper divisors (70208157085830).

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

44413404344442 is an equidigital number, since it uses as much as digits as its factorization.

44413404344442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1784517 (or 1784496 counting only the distinct ones).

The product of its (nonzero) digits is 4718592, while the sum is 45.

Adding to 44413404344442 its reverse (24444340431444), we get a palindrome (68857744775886).

The spelling of 44413404344442 in words is "forty-four trillion, four hundred thirteen billion, four hundred four million, three hundred forty-four thousand, four hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 81 126 162 189 243 271 378 486 542 567 729 813 1134 1458 1626 1701 1897 2187 2439 3402 3794 4374 4878 5103 5691 6561 7317 10206 11382 13122 14634 15309 17073 21951 30618 34146 43902 45927 51219 65853 91854 102438 131706 153657 197559 307314 395118 460971 592677 921942 1185354 1382913 1778031 1784213 2765826 3556062 3568426 4148739 5352639 8297478 10705278 12446217 12489491 16057917 24892434 24978982 32115834 37468473 48173751 74936946 96347502 112405419 144521253 224810838 289042506 337216257 433563759 483521723 674432514 867127518 967043446 1011648771 1300691277 1450565169 2023297542 2601382554 2901130338 3034946313 3384652061 3902073831 4351695507 6069892626 6769304122 7804147662 8703391014 9104838939 10153956183 11706221493 13055086521 18209677878 20307912366 23412442986 26110173042 27314516817 30461868549 39165259563 54629033634 60923737098 78330519126 81943550451 91385605647 117495778689 163887100902 182771211294 234991557378 274156816941 352487336067 548313633882 704974672134 822470450823 1057462008201 1644940901646 2114924016402 2467411352469 3172386024603 4934822704938 6344772049206 7402234057407 14804468114814 22206702172221 44413404344442