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4401022144040 = 235881316939409
BaseRepresentation
bin100000000001011000101…
…0111001000111000101000
3120120201210210121100221122
41000002301113020320220
51034101243132102130
613205445054154412
7632651300663654
oct100026127107050
916521723540848
104401022144040
1114475102a1a05
125b0b454b2a08
1325c026128222
14113021175a64
15797324ab2e5
hex400b15c8e28

4401022144040 has 64 divisors (see below), whose sum is σ = 9916919586000. Its totient is φ = 1757811179520.

The previous prime is 4401022144019. The next prime is 4401022144049. The reversal of 4401022144040 is 404412201044.

It can be written as a sum of positive squares in 8 ways, for example, as 1989008143684 + 2412014000356 = 1410322^2 + 1553066^2 .

It is not an unprimeable number, because it can be changed into a prime (4401022144049) 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, 111655856 + ... + 111695264.

Almost surely, 24401022144040 is an apocalyptic number.

4401022144040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4401022144040 is an abundant number, since it is smaller than the sum of its proper divisors (5515897441960).

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

4401022144040 is a wasteful number, since it uses less digits than its factorization.

4401022144040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43470 (or 43466 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 26.

Adding to 4401022144040 its reverse (404412201044), we get a palindrome (4805434345084).

The spelling of 4401022144040 in words is "four trillion, four hundred one billion, twenty-two million, one hundred forty-four thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 881 1762 3169 3524 4405 6338 7048 8810 12676 15845 17620 25352 31690 35240 39409 63380 78818 126760 157636 197045 315272 394090 788180 1576360 2791889 5583778 11167556 13959445 22335112 27918890 34719329 55837780 69438658 111675560 124887121 138877316 173596645 249774242 277754632 347193290 499548484 624435605 694386580 999096968 1248871210 1388773160 2497742420 4995484840 110025553601 220051107202 440102214404 550127768005 880204428808 1100255536010 2200511072020 4401022144040