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244305020040 = 233553151254389
BaseRepresentation
bin1110001110000110110…
…1101100010010001000
3212100121000222220021120
43203201231230102020
513000314041120130
6304122052235240
723436051256434
oct3434155542210
9770530886246
10244305020040
11946778a6544
123b42130bb20
131a06525ab73
14bb783219c4
15654cd82910
hex38e1b6c488

244305020040 has 128 divisors (see below), whose sum is σ = 751691923200. Its totient is φ = 63495244800.

The previous prime is 244305020033. The next prime is 244305020117. The reversal of 244305020040 is 40020503442.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 31 ways as a sum of consecutive naturals, for example, 833166 + ... + 1087554.

It is an arithmetic number, because the mean of its divisors is an integer number (5872593150).

Almost surely, 2244305020040 is an apocalyptic number.

244305020040 is a gapful number since it is divisible by the number (20) 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 244305020040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375845961600).

244305020040 is an abundant number, since it is smaller than the sum of its proper divisors (507386903160).

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

244305020040 is a wasteful number, since it uses less digits than its factorization.

244305020040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254607 (or 254603 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 24.

Adding to 244305020040 its reverse (40020503442), we get a palindrome (284325523482).

It can be divided in two parts, 2443050 and 20040, that added together give a triangular number (2463090 = T2219).

The spelling of 244305020040 in words is "two hundred forty-four billion, three hundred five million, twenty thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 53 60 106 120 151 159 212 265 302 318 424 453 530 604 636 755 795 906 1060 1208 1272 1510 1590 1812 2120 2265 3020 3180 3624 4530 6040 6360 8003 9060 16006 18120 24009 32012 40015 48018 64024 80030 96036 120045 160060 192072 240090 254389 320120 480180 508778 763167 960360 1017556 1271945 1526334 2035112 2543890 3052668 3815835 5087780 6105336 7631670 10175560 13482617 15263340 26965234 30526680 38412739 40447851 53930468 67413085 76825478 80895702 107860936 115238217 134826170 153650956 161791404 192063695 202239255 230476434 269652340 307301912 323582808 384127390 404478510 460952868 539304680 576191085 768254780 808957020 921905736 1152382170 1536509560 1617914040 2035875167 2304764340 4071750334 4609528680 6107625501 8143500668 10179375835 12215251002 16287001336 20358751670 24430502004 30538127505 40717503340 48861004008 61076255010 81435006680 122152510020 244305020040