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42414443240 = 2351399182307
BaseRepresentation
bin100111100000000110…
…010000101011101000
311001110221020221222012
4213200012100223220
51143331044140430
631252424415052
73031032550631
oct474006205350
9131427227865
1042414443240
1116a95935a84
128278617488
133ccc3572c0
1420a510a888
151183962695
hex9e0190ae8

42414443240 has 64 divisors (see below), whose sum is σ = 102878415360. Its totient is φ = 15644724480.

The previous prime is 42414443237. The next prime is 42414443251. The reversal of 42414443240 is 4234441424.

It is a junction number, because it is equal to n+sod(n) for n = 42414443197 and 42414443206.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 474167 + ... + 556473.

It is an arithmetic number, because the mean of its divisors is an integer number (1607475240).

Almost surely, 242414443240 is an apocalyptic number.

42414443240 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 42414443240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51439207680).

42414443240 is an abundant number, since it is smaller than the sum of its proper divisors (60463972120).

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

42414443240 is a wasteful number, since it uses less digits than its factorization.

42414443240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83322 (or 83318 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 32.

Adding to 42414443240 its reverse (4234441424), we get a palindrome (46648884664).

The spelling of 42414443240 in words is "forty-two billion, four hundred fourteen million, four hundred forty-three thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 991 1982 3964 4955 7928 9910 12883 19820 25766 39640 51532 64415 82307 103064 128830 164614 257660 329228 411535 515320 658456 823070 1069991 1646140 2139982 3292280 4279964 5349955 8559928 10699910 21399820 42799640 81566237 163132474 326264948 407831185 652529896 815662370 1060361081 1631324740 2120722162 3262649480 4241444324 5301805405 8482888648 10603610810 21207221620 42414443240