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42054434310 = 2357412119131
BaseRepresentation
bin100111001010101000…
…111011111000000110
311000112211211121120010
4213022220323320012
51142111413344220
631153004251050
73016101536130
oct471250737006
9130484747503
1042054434310
11169206a4a39
128197b40a86
133c728a8475
14206d396050
15116204d1e0
hex9caa3be06

42054434310 has 96 divisors (see below), whose sum is σ = 118232315136. Its totient is φ = 9377913600.

The previous prime is 42054434299. The next prime is 42054434333. The reversal of 42054434310 is 1343445024.

42054434310 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×420544343102 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 293445 + ... + 412575.

It is an arithmetic number, because the mean of its divisors is an integer number (1231586616).

Almost surely, 242054434310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42054434310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59116157568).

42054434310 is an abundant number, since it is smaller than the sum of its proper divisors (76177880826).

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

42054434310 is a wasteful number, since it uses less digits than its factorization.

42054434310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119230 (or 119189 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

Adding to 42054434310 its reverse (1343445024), we get a palindrome (43397879334).

The spelling of 42054434310 in words is "forty-two billion, fifty-four million, four hundred thirty-four thousand, three hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 41 42 70 82 105 123 205 210 246 287 410 574 615 861 1230 1435 1681 1722 2870 3362 4305 5043 8405 8610 10086 11767 16810 23534 25215 35301 50430 58835 70602 117670 119131 176505 238262 353010 357393 595655 714786 833917 1191310 1667834 1786965 2501751 3573930 4169585 4884371 5003502 8339170 9768742 12508755 14653113 24421855 25017510 29306226 34190597 48843710 68381194 73265565 102571791 146531130 170952985 200259211 205143582 341905970 400518422 512858955 600777633 1001296055 1025717910 1201555266 1401814477 2002592110 2803628954 3003888165 4205443431 6007776330 7009072385 8410886862 14018144770 21027217155 42054434310