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4145221452440 = 235612153789067
BaseRepresentation
bin111100010100100010011…
…100111100001010011000
3112200021112121110211212202
4330110202130330022120
51020403403142434230
612452142145425332
7605324310662615
oct74244234741230
915607477424782
104145221452440
111358a84498262
1256b45633b248
13240b7b374b53
141048b61d750c
1572c602c8a45
hex3c52273c298

4145221452440 has 64 divisors (see below), whose sum is σ = 9484060793760. Its totient is φ = 1630147230720.

The previous prime is 4145221452409. The next prime is 4145221452487. The reversal of 4145221452440 is 442541225414.

It is a junction number, because it is equal to n+sod(n) for n = 4145221452394 and 4145221452403.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4858787 + ... + 5647853.

Almost surely, 24145221452440 is an apocalyptic number.

4145221452440 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 4145221452440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4742030396880).

4145221452440 is an abundant number, since it is smaller than the sum of its proper divisors (5338839341320).

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

4145221452440 is a wasteful number, since it uses less digits than its factorization.

4145221452440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 791292 (or 791288 counting only the distinct ones).

The product of its (nonzero) digits is 204800, while the sum is 38.

Adding to 4145221452440 its reverse (442541225414), we get a palindrome (4587762677854).

The spelling of 4145221452440 in words is "four trillion, one hundred forty-five billion, two hundred twenty-one million, four hundred fifty-two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 61 122 244 305 488 610 1220 2153 2440 4306 8612 10765 17224 21530 43060 86120 131333 262666 525332 656665 789067 1050664 1313330 1578134 2626660 3156268 3945335 5253320 6312536 7890670 15781340 31562680 48133087 96266174 192532348 240665435 385064696 481330870 962661740 1698861251 1925323480 3397722502 6795445004 8494306255 13590890008 16988612510 33977225020 67954450040 103630536311 207261072622 414522145244 518152681555 829044290488 1036305363110 2072610726220 4145221452440