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42110044340 = 22572132254257
BaseRepresentation
bin100111001101111101…
…000100100010110100
311000200201110220011212
4213031331010202310
51142220132404330
631202312220552
73020345320400
oct471575044264
9130621426155
1042110044340
111694a027641
1281b269a758
133c81279200
142076910100
151166d85295
hex9cdf448b4

42110044340 has 108 divisors (see below), whose sum is σ = 111390938316. Its totient is φ = 13327082496.

The previous prime is 42110044321. The next prime is 42110044349. The reversal of 42110044340 is 4344001124.

It is a happy number.

42110044340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 11982805156 + 30127239184 = 109466^2 + 173572^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42110044349) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 38492 + ... + 292748.

It is an arithmetic number, because the mean of its divisors is an integer number (1031397577).

Almost surely, 242110044340 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 42110044340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55695469158).

42110044340 is an abundant number, since it is smaller than the sum of its proper divisors (69280893976).

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

42110044340 is a wasteful number, since it uses less digits than its factorization.

42110044340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254306 (or 254284 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 42110044340 its reverse (4344001124), we get a palindrome (46454045464).

The spelling of 42110044340 in words is "forty-two billion, one hundred ten million, forty-four thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 49 52 65 70 91 98 130 140 169 182 196 245 260 338 364 455 490 637 676 845 910 980 1183 1274 1690 1820 2366 2548 3185 3380 4732 5915 6370 8281 11830 12740 16562 23660 33124 41405 82810 165620 254257 508514 1017028 1271285 1779799 2542570 3305341 3559598 5085140 6610682 7119196 8898995 12458593 13221364 16526705 17797990 23137387 24917186 33053410 35595980 42969433 46274774 49834372 62292965 66106820 85938866 92549548 115686935 124585930 161961709 171877732 214847165 231373870 249171860 300786031 323923418 429694330 462747740 601572062 647846836 809808545 859388660 1203144124 1503930155 1619617090 2105502217 3007860310 3239234180 4211004434 6015720620 8422008868 10527511085 21055022170 42110044340