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44401776040 = 2358966118869
BaseRepresentation
bin101001010110100011…
…010101010110101000
311020121102202221001201
4221112203111112220
51211413323313130
632221540053544
73131213604046
oct512643252650
9136542687051
1044401776040
1117915710586
1287320942b4
134257cb7a7b
142213029396
15124d171bca
hexa568d55a8

44401776040 has 64 divisors (see below), whose sum is σ = 101184714000. Its totient is φ = 17533655040.

The previous prime is 44401775993. The next prime is 44401776059. The reversal of 44401776040 is 4067710444.

It can be written as a sum of positive squares in 8 ways, for example, as 32458346244 + 11943429796 = 180162^2 + 109286^2 .

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 15 ways as a sum of consecutive naturals, for example, 2343726 + ... + 2362594.

Almost surely, 244401776040 is an apocalyptic number.

44401776040 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 44401776040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50592357000).

44401776040 is an abundant number, since it is smaller than the sum of its proper divisors (56782937960).

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

44401776040 is a wasteful number, since it uses less digits than its factorization.

44401776040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19630 (or 19626 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 37.

The spelling of 44401776040 in words is "forty-four billion, four hundred one million, seven hundred seventy-six thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 89 178 356 445 661 712 890 1322 1780 2644 3305 3560 5288 6610 13220 18869 26440 37738 58829 75476 94345 117658 150952 188690 235316 294145 377380 470632 588290 754760 1176580 1679341 2353160 3358682 6717364 8396705 12472409 13434728 16793410 24944818 33586820 49889636 62362045 67173640 99779272 124724090 249448180 498896360 1110044401 2220088802 4440177604 5550222005 8880355208 11100444010 22200888020 44401776040