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4445144104000 = 26531171474503
BaseRepresentation
bin100000010101111011100…
…1111000011110001000000
3120201221200201212011111211
41000223313033003301000
51040312123342312000
613242023201015504
7636102546314515
oct100536717036100
916657621764454
104445144104000
1114641a1a64526
125b95b9924594
13263238161242
14115208d6330c
157a965ca97ba
hex40af73c3c40

4445144104000 has 112 divisors (see below), whose sum is σ = 11017823446656. Its totient is φ = 1776535488000.

The previous prime is 4445144103973. The next prime is 4445144104007. The reversal of 4445144104000 is 4014415444.

It is a super-2 number, since 2×44451441040002 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4445144104007) 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, 9130749 + ... + 9605251.

Almost surely, 24445144104000 is an apocalyptic number.

4445144104000 is a gapful number since it is divisible by the number (40) 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 4445144104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5508911723328).

4445144104000 is an abundant number, since it is smaller than the sum of its proper divisors (6572679342656).

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

4445144104000 is a wasteful number, since it uses less digits than its factorization.

4445144104000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475701 (or 475681 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 31.

Adding to 4445144104000 its reverse (4014415444), we get a palindrome (4449158519444).

The spelling of 4445144104000 in words is "four trillion, four hundred forty-five billion, one hundred forty-four million, one hundred four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 800 1000 1171 1600 2000 2342 4000 4684 5855 8000 9368 11710 18736 23420 29275 37472 46840 58550 74944 93680 117100 146375 187360 234200 292750 374720 468400 474503 585500 936800 949006 1171000 1873600 1898012 2342000 2372515 3796024 4684000 4745030 7592048 9368000 9490060 11862575 15184096 18980120 23725150 30368192 37960240 47450300 59312875 75920480 94900600 118625750 151840960 189801200 237251500 379602400 474503000 555643013 759204800 949006000 1111286026 1898012000 2222572052 2778215065 3796024000 4445144104 5556430130 8890288208 11112860260 13891075325 17780576416 22225720520 27782150650 35561152832 44451441040 55564301300 69455376625 88902882080 111128602600 138910753250 177805764160 222257205200 277821506500 444514410400 555643013000 889028820800 1111286026000 2222572052000 4445144104000