Search a number
-
+
44040848848384 = 291715533258107
BaseRepresentation
bin10100000001110000011110…
…01001101011011000000000
312202221021010110221012211011
422000320033021223120000
521233031124301122014
6233400030414530304
712163563201404233
oct1200701711533000
9182837113835734
1044040848848384
111303a68a03a073
124b334b3206994
131b7605a26c7ab
14ac3834a2941a
1551590be847c4
hex280e0f26b600

44040848848384 has 80 divisors (see below), whose sum is σ = 93231920306448. Its totient is φ = 20711753777152.

The previous prime is 44040848848379. The next prime is 44040848848421. The reversal of 44040848848384 is 48384884804044.

It is a super-2 number, since 2×440408488483842 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11888259 + ... + 15146365.

Almost surely, 244040848848384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44040848848384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46615960153224).

44040848848384 is an abundant number, since it is smaller than the sum of its proper divisors (49191071458064).

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

44040848848384 is a wasteful number, since it uses less digits than its factorization.

44040848848384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3259695 (or 3259679 counting only the distinct ones).

The product of its (nonzero) digits is 402653184, while the sum is 67.

The spelling of 44040848848384 in words is "forty-four trillion, forty billion, eight hundred forty-eight million, eight hundred forty-eight thousand, three hundred eighty-four".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 256 272 512 544 1088 1553 2176 3106 4352 6212 8704 12424 24848 26401 49696 52802 99392 105604 198784 211208 397568 422416 795136 844832 1689664 3258107 3379328 6516214 6758656 13032428 13517312 26064856 52129712 55387819 104259424 110775638 208518848 221551276 417037696 443102552 834075392 886205104 1668150784 1772410208 3544820416 5059840171 7089640832 10119680342 14179281664 20239360684 28358563328 40478721368 80957442736 86017282907 161914885472 172034565814 323829770944 344069131628 647659541888 688138263256 1295319083776 1376276526512 2590638167552 2752553053024 5505106106048 11010212212096 22020424424192 44040848848384