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10042440210 = 2335117694397
BaseRepresentation
bin10010101101001001…
…10111101000010010
3221220212121211011000
421112210313220102
5131031331041320
64340300202430
7503601222225
oct112644675022
927825554130
1010042440210
114293771a70
121b43239416
13c4072991a
146b3a4d5bc
153db992c90
hex256937a12

10042440210 has 128 divisors (see below), whose sum is σ = 29259014400. Its totient is φ = 2430812160.

The previous prime is 10042440181. The next prime is 10042440241. The reversal of 10042440210 is 1204424001.

10042440210 is a `hidden beast` number, since 10 + 0 + 4 + 2 + 440 + 210 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2281732 + ... + 2286128.

It is an arithmetic number, because the mean of its divisors is an integer number (228586050).

Almost surely, 210042440210 is an apocalyptic number.

10042440210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10042440210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14629507200).

10042440210 is an abundant number, since it is smaller than the sum of its proper divisors (19216574190).

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

10042440210 is a wasteful number, since it uses less digits than its factorization.

10042440210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5193 (or 5187 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 10042440210 its reverse (1204424001), we get a palindrome (11246864211).

The spelling of 10042440210 in words is "ten billion, forty-two million, four hundred forty thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 90 99 110 135 165 198 270 297 330 495 594 769 990 1485 1538 2307 2970 3845 4397 4614 6921 7690 8459 8794 11535 13191 13842 16918 20763 21985 23070 25377 26382 34605 39573 41526 42295 43970 48367 50754 65955 69210 76131 79146 84590 96734 103815 118719 126885 131910 145101 152262 197865 207630 228393 237438 241835 253770 290202 380655 395730 435303 456786 483670 593595 725505 761310 870606 1141965 1187190 1305909 1451010 2176515 2283930 2611818 3381293 4353030 6529545 6762586 10143879 13059090 16906465 20287758 30431637 33812930 37194223 50719395 60863274 74388446 91294911 101438790 111582669 152158185 182589822 185971115 223165338 304316370 334748007 371942230 456474555 557913345 669496014 912949110 1004244021 1115826690 1673740035 2008488042 3347480070 5021220105 10042440210