Search a number
-
+
444935244040 = 23574733809669
BaseRepresentation
bin1100111100110000011…
…01010000100100001000
31120112110022011021120121
412132120031100210020
524242211410302130
6540222254233024
744100624113260
oct6363015204410
91515408137517
10444935244040
11161772389321
1272293ab5774
1332c59cc8841
141776bdb67a0
15b8917e4d7a
hex6798350908

444935244040 has 64 divisors (see below), whose sum is σ = 1168462195200. Its totient is φ = 149303493888.

The previous prime is 444935244023. The next prime is 444935244041. The reversal of 444935244040 is 40442539444.

It is not an unprimeable number, because it can be changed into a prime (444935244041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16891675 + ... + 16917994.

It is an arithmetic number, because the mean of its divisors is an integer number (18257221800).

Almost surely, 2444935244040 is an apocalyptic number.

444935244040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

444935244040 is an abundant number, since it is smaller than the sum of its proper divisors (723526951160).

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

444935244040 is a wasteful number, since it uses less digits than its factorization.

444935244040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33809734 (or 33809730 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 43.

The spelling of 444935244040 in words is "four hundred forty-four billion, nine hundred thirty-five million, two hundred forty-four thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 47 56 70 94 140 188 235 280 329 376 470 658 940 1316 1645 1880 2632 3290 6580 13160 33809669 67619338 135238676 169048345 236667683 270477352 338096690 473335366 676193380 946670732 1183338415 1352386760 1589054443 1893341464 2366676830 3178108886 4733353660 6356217772 7945272215 9466707320 11123381101 12712435544 15890544430 22246762202 31781088860 44493524404 55616905505 63562177720 88987048808 111233811010 222467622020 444935244040