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4244304132040 = 2357791031186107
BaseRepresentation
bin111101110000110100001…
…111010111011111001000
3120000202021212000111002211
4331300310033113133020
51024014313324211130
613005450103234504
7615432545603620
oct75606417273710
916022255014084
104244304132040
111396aaa040a25
125866a8a48a34
1324a30bb0534b
141095d54ad880
157560dc14a2a
hex3dc343d77c8

4244304132040 has 128 divisors (see below), whose sum is σ = 11062855065600. Its totient is φ = 1435368579840.

The previous prime is 4244304131993. The next prime is 4244304132041. The reversal of 4244304132040 is 402314034424.

It is a junction number, because it is equal to n+sod(n) for n = 4244304131993 and 4244304132011.

It is not an unprimeable number, because it can be changed into a prime (4244304132041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22712667 + ... + 22898773.

It is an arithmetic number, because the mean of its divisors is an integer number (86428555200).

Almost surely, 24244304132040 is an apocalyptic number.

4244304132040 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 4244304132040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5531427532800).

4244304132040 is an abundant number, since it is smaller than the sum of its proper divisors (6818550933560).

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

4244304132040 is a wasteful number, since it uses less digits than its factorization.

4244304132040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187235 (or 187231 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 31.

Adding to 4244304132040 its reverse (402314034424), we get a palindrome (4646618166464).

The spelling of 4244304132040 in words is "four trillion, two hundred forty-four billion, three hundred four million, one hundred thirty-two thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 79 140 158 280 316 395 553 632 790 1031 1106 1580 2062 2212 2765 3160 4124 4424 5155 5530 7217 8248 10310 11060 14434 20620 22120 28868 36085 41240 57736 72170 81449 144340 162898 186107 288680 325796 372214 407245 570143 651592 744428 814490 930535 1140286 1302749 1488856 1628980 1861070 2280572 2605498 2850715 3257960 3722140 4561144 5210996 5701430 6513745 7444280 10421992 11402860 13027490 14702453 22805720 26054980 29404906 52109960 58809812 73512265 102917171 117619624 147024530 191876317 205834342 294049060 383752634 411668684 514585855 588098120 767505268 823337368 959381585 1029171710 1343134219 1535010536 1918763170 2058343420 2686268438 3837526340 4116686840 5372536876 6715671095 7675052680 10745073752 13431342190 15158229043 26862684380 30316458086 53725368760 60632916172 75791145215 106107603301 121265832344 151582290430 212215206602 303164580860 424430413204 530538016505 606329161720 848860826408 1061076033010 2122152066020 4244304132040