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440243241040 = 245232412573863
BaseRepresentation
bin1100110100000001000…
…10101100000001010000
31120002100022022211110201
412122000202230001100
524203104232203130
6534124524304544
743543431543241
oct6320042540120
91502308284421
10440243241040
1115a784917a99
12713a46a2154
133268cc079c5
1417444baacc8
15b6b992bbca
hex66808ac050

440243241040 has 160 divisors (see below), whose sum is σ = 1076952070656. Its totient is φ = 167046021120.

The previous prime is 440243241037. The next prime is 440243241047. The reversal of 440243241040 is 40142342044.

It is a super-2 number, since 2×4402432410402 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (440243241047) 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, 113962149 + ... + 113966011.

Almost surely, 2440243241040 is an apocalyptic number.

440243241040 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 440243241040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (538476035328).

440243241040 is an abundant number, since it is smaller than the sum of its proper divisors (636708829616).

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

440243241040 is a wasteful number, since it uses less digits than its factorization.

440243241040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4397 (or 4391 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 440243241040 its reverse (40142342044), we get a palindrome (480385583084).

The spelling of 440243241040 in words is "four hundred forty billion, two hundred forty-three million, two hundred forty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 80 92 115 184 230 241 257 368 460 482 514 920 964 1028 1205 1285 1840 1928 2056 2410 2570 3856 3863 4112 4820 5140 5543 5911 7726 9640 10280 11086 11822 15452 19280 19315 20560 22172 23644 27715 29555 30904 38630 44344 47288 55430 59110 61808 61937 77260 88688 88849 94576 110860 118220 123874 154520 177698 221720 236440 247748 309040 309685 355396 443440 444245 472880 495496 619370 710792 888490 930983 990992 992791 1238740 1421584 1424551 1776980 1861966 1985582 2477480 2849102 3553960 3723932 3971164 4654915 4954960 4963955 5698204 7107920 7122755 7447864 7942328 9309830 9927910 11396408 14245510 14895728 15884656 18619660 19855820 21412609 22792816 22834193 28491020 37239320 39711640 42825218 45668386 56982040 74478640 79423280 85650436 91336772 107063045 113964080 114170965 171300872 182673544 214126090 228341930 239262631 342601744 365347088 428252180 456683860 478525262 856504360 913367720 957050524 1196313155 1713008720 1826735440 1914101048 2392626310 3828202096 4785252620 5503040513 9570505240 11006081026 19141010480 22012162052 27515202565 44024324104 55030405130 88048648208 110060810260 220121620520 440243241040