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4410042141344 = 25789223991973
BaseRepresentation
bin100000000101100101011…
…1111101100101010100000
3120121121002102022201002212
41000023022333230222200
51034223231242010334
613213540112101252
7633420645463130
oct100131277545240
916547072281085
104410042141344
111450319901434
125b2842234828
1325cb32a8a638
141136390b4ac0
1579aae2d7ece
hex402cafecaa0

4410042141344 has 96 divisors (see below), whose sum is σ = 10079090703360. Its totient is φ = 1860399839232.

The previous prime is 4410042141331. The next prime is 4410042141347. The reversal of 4410042141344 is 4431412400144.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 4410042141344.

It is not an unprimeable number, because it can be changed into a prime (4410042141347) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 3949742 + ... + 4941714.

It is an arithmetic number, because the mean of its divisors is an integer number (104990528160).

Almost surely, 24410042141344 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 4410042141344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5039545351680).

4410042141344 is an abundant number, since it is smaller than the sum of its proper divisors (5669048562016).

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

4410042141344 is a wasteful number, since it uses less digits than its factorization.

4410042141344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 992302 (or 992294 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 32.

Adding to 4410042141344 its reverse (4431412400144), we get a palindrome (8841454541488).

The spelling of 4410042141344 in words is "four trillion, four hundred ten billion, forty-two million, one hundred forty-one thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 89 112 178 223 224 356 446 623 712 892 1246 1424 1561 1784 2492 2848 3122 3568 4984 6244 7136 9968 12488 19847 19936 24976 39694 49952 79388 138929 158776 277858 317552 555716 635104 991973 1111432 1983946 2222864 3967892 4445728 6943811 7935784 13887622 15871568 27775244 31743136 55550488 88285597 111100976 176571194 221209979 222201952 353142388 442419958 617999179 706284776 884839916 1235998358 1412569552 1548469853 1769679832 2471996716 2825139104 3096939706 3539359664 4943993432 6193879412 7078719328 9887986864 12387758824 19687688131 19775973728 24775517648 39375376262 49551035296 78750752524 137813816917 157501505048 275627633834 315003010096 551255267668 630006020192 1102510535336 2205021070672 4410042141344