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44001354144552 = 2337319299094511
BaseRepresentation
bin10100000000100110111010…
…00101010101101100101000
312202210111012000200101100120
422000103131011111230220
521231404233130111202
6233325535410203240
712160664401066140
oct1200233505255450
9182714160611316
1044001354144552
1113024962335572
124b27910583520
131b72404aa7b5c
14ac19695d1920
15514899a100bc
hex2804dd155b28

44001354144552 has 128 divisors (see below), whose sum is σ = 129913285017600. Its totient is φ = 12153175603200.

The previous prime is 44001354144523. The next prime is 44001354144571. The reversal of 44001354144552 is 25544145310044.

It is a super-2 number, since 2×440013541445522 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 290977 + ... + 9385487.

It is an arithmetic number, because the mean of its divisors is an integer number (1014947539200).

Almost surely, 244001354144552 is an apocalyptic number.

44001354144552 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44001354144552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64956642508800).

44001354144552 is an abundant number, since it is smaller than the sum of its proper divisors (85911930873048).

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

44001354144552 is a wasteful number, since it uses less digits than its factorization.

44001354144552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9095487 (or 9095483 counting only the distinct ones).

The product of its (nonzero) digits is 768000, while the sum is 42.

Adding to 44001354144552 its reverse (25544145310044), we get a palindrome (69545499454596).

The spelling of 44001354144552 in words is "forty-four trillion, one billion, three hundred fifty-four million, one hundred forty-four thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 31 42 56 62 84 93 124 168 186 217 248 372 434 651 744 868 929 1302 1736 1858 2604 2787 3716 5208 5574 6503 7432 11148 13006 19509 22296 26012 28799 39018 52024 57598 78036 86397 115196 156072 172794 201593 230392 345588 403186 604779 691176 806372 1209558 1612744 2419116 4838232 9094511 18189022 27283533 36378044 54567066 63661577 72756088 109134132 127323154 190984731 218268264 254646308 281929841 381969462 509292616 563859682 763938924 845789523 1127719364 1527877848 1691579046 1973508887 2255438728 3383158092 3947017774 5920526661 6766316184 7894035548 8448800719 11841053322 15788071096 16897601438 23682106644 25346402157 33795202876 47364213288 50692804314 59141605033 67590405752 101385608628 118283210066 177424815099 202771217256 236566420132 261912822289 354849630198 473132840264 523825644578 709699260396 785738466867 1047651289156 1419398520792 1571476933734 1833389756023 2095302578312 3142953867468 3666779512046 5500169268069 6285907734936 7333559024092 11000338536138 14667118048184 22000677072276 44001354144552