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4044014440000 = 2654101100361
BaseRepresentation
bin111010110110010010000…
…010110100111001000000
3112022121022022121220211121
4322312102002310321000
51012224120144040000
612333443344122024
7565112306401453
oct72662202647100
915277268556747
104044014440000
11131a0697a6917
12553910306314
1323446c787182
14dda34b3d49a
15702da11ab1a
hex3ad920b4e40

4044014440000 has 70 divisors (see below), whose sum is σ = 10027841605694. Its totient is φ = 1617605760000.

The previous prime is 4044014439973. The next prime is 4044014440021. The reversal of 4044014440000 is 444104404.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 2294934129216 + 1749080310784 = 1514904^2 + 1322528^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 50510181 + ... + 50590180.

Almost surely, 24044014440000 is an apocalyptic number.

4044014440000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4044014440000 is an abundant number, since it is smaller than the sum of its proper divisors (5983827165694).

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

4044014440000 is an equidigital number, since it uses as much as digits as its factorization.

4044014440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101100393 (or 101100368 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 25.

Adding to 4044014440000 its reverse (444104404), we get a palindrome (4044458544404).

It can be divided in two parts, 404401 and 4440000, that added together give a square (4844401 = 22012).

The spelling of 4044014440000 in words is "four trillion, forty-four billion, fourteen million, four hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 625 800 1000 1250 1600 2000 2500 4000 5000 8000 10000 20000 40000 101100361 202200722 404401444 505501805 808802888 1011003610 1617605776 2022007220 2527509025 3235211552 4044014440 5055018050 6470423104 8088028880 10110036100 12637545125 16176057760 20220072200 25275090250 32352115520 40440144400 50550180500 63187725625 80880288800 101100361000 126375451250 161760577600 202200722000 252750902500 404401444000 505501805000 808802888000 1011003610000 2022007220000 4044014440000