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424422204040 = 2353110121116061
BaseRepresentation
bin1100010110100011000…
…10001110001010001000
31111120111201020212202101
412023101202032022020
523423204041012130
6522551000443144
742443402132032
oct6132142161210
91446451225671
10424422204040
11153aa62a67aa
126a30a1794b4
133103b251653
1416783902c52
15b0909d71ca
hex62d188e288

424422204040 has 128 divisors (see below), whose sum is σ = 1000295101440. Its totient is φ = 161884800000.

The previous prime is 424422204029. The next prime is 424422204047. The reversal of 424422204040 is 40402224424.

It is not an unprimeable number, because it can be changed into a prime (424422204047) 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, 26417610 + ... + 26433670.

It is an arithmetic number, because the mean of its divisors is an integer number (7814805480).

Almost surely, 2424422204040 is an apocalyptic number.

424422204040 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 424422204040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (500147550720).

424422204040 is an abundant number, since it is smaller than the sum of its proper divisors (575872897400).

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

424422204040 is a wasteful number, since it uses less digits than its factorization.

424422204040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16415 (or 16411 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 28.

Adding to 424422204040 its reverse (40402224424), we get a palindrome (464824428464).

The spelling of 424422204040 in words is "four hundred twenty-four billion, four hundred twenty-two million, two hundred four thousand, forty".

Divisors: 1 2 4 5 8 10 20 31 40 62 101 124 155 202 211 248 310 404 422 505 620 808 844 1010 1055 1240 1688 2020 2110 3131 4040 4220 6262 6541 8440 12524 13082 15655 16061 21311 25048 26164 31310 32122 32705 42622 52328 62620 64244 65410 80305 85244 106555 125240 128488 130820 160610 170488 213110 261640 321220 426220 497891 642440 660641 852440 995782 1321282 1622161 1991564 2489455 2642564 3244322 3303205 3388871 3983128 4978910 5285128 6488644 6606410 6777742 8110805 9957820 12977288 13212820 13555484 16221610 16944355 19915640 26425640 27110968 32443220 33888710 50286991 64886440 67777420 100573982 105055001 135554840 201147964 210110002 251434955 342275971 402295928 420220004 502869910 525275005 684551942 840440008 1005739820 1050550010 1369103884 1711379855 2011479640 2101100020 2738207768 3422759710 4202200040 6845519420 10610555101 13691038840 21221110202 42442220404 53052775505 84884440808 106105551010 212211102020 424422204040