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440243220432 = 243232161910709
BaseRepresentation
bin1100110100000001000…
…10100110111111010000
31120002100022021210012110
412122000202212333100
524203104231023212
6534124524025320
743543431426201
oct6320042467720
91502308253173
10440243220432
1115a784903564
12713a4692240
133268cbcb502
1417444ba35a8
15b6b9925a3c
hex66808a6fd0

440243220432 has 120 divisors (see below), whose sum is σ = 1189737914400. Its totient is φ = 140267604224.

The previous prime is 440243220419. The next prime is 440243220449. The reversal of 440243220432 is 234022342044.

It is a self number, because there is not a number n which added to its sum of digits gives 440243220432.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 41104294 + ... + 41115002.

It is an arithmetic number, because the mean of its divisors is an integer number (9914482620).

Almost surely, 2440243220432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 440243220432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (594868957200).

440243220432 is an abundant number, since it is smaller than the sum of its proper divisors (749494693968).

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

440243220432 is a wasteful number, since it uses less digits than its factorization.

440243220432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12385 (or 12356 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 30.

Adding to 440243220432 its reverse (234022342044), we get a palindrome (674265562476).

It can be divided in two parts, 440243 and 220432, that added together give a triangular number (660675 = T1149).

The spelling of 440243220432 in words is "four hundred forty billion, two hundred forty-three million, two hundred twenty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 92 138 184 276 368 529 552 1058 1104 1587 1619 2116 3174 3238 4232 4857 6348 6476 8464 9714 10709 12696 12952 19428 21418 25392 25904 32127 37237 38856 42836 64254 74474 77712 85672 111711 128508 148948 171344 223422 246307 257016 297896 446844 492614 514032 595792 738921 856451 893688 985228 1477842 1712902 1787376 1970456 2569353 2955684 3425804 3940912 5138706 5665061 5911368 6851608 10277412 11330122 11822736 13703216 16995183 17337871 20554824 22660244 33990366 34675742 41109648 45320488 52013613 67980732 69351484 90640976 104027226 135961464 138702968 208054452 271922928 277405936 398771033 416108904 797542066 832217808 1196313099 1595084132 2392626198 3190168264 4785252396 6380336528 9171733759 9570504792 18343467518 19141009584 27515201277 36686935036 55030402554 73373870072 110060805108 146747740144 220121610216 440243220432