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42153010344 = 2332585458477
BaseRepresentation
bin100111010000100000…
…111110010010101000
311000210201022210110100
4213100200332102220
51142312132312334
631210445145400
73021406450614
oct472040762250
9130721283410
1042153010344
1116971303635
128204b5b260
133c8a140a93
14207c4d6344
15116aa20c99
hex9d083e4a8

42153010344 has 24 divisors (see below), whose sum is σ = 114164403210. Its totient is φ = 14051003424.

The previous prime is 42153010343. The next prime is 42153010357. The reversal of 42153010344 is 44301035124.

It is a happy number.

42153010344 is a `hidden beast` number, since 4 + 2 + 15 + 301 + 0 + 344 = 666.

It can be written as a sum of positive squares in only one way, i.e., 37379582244 + 4773428100 = 193338^2 + 69090^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×421530103442 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (42153010343) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 292729167 + ... + 292729310.

Almost surely, 242153010344 is an apocalyptic number.

It is an amenable number.

42153010344 is an abundant number, since it is smaller than the sum of its proper divisors (72011392866).

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

42153010344 is a wasteful number, since it uses less digits than its factorization.

42153010344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 585458489 (or 585458482 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 42153010344 its reverse (44301035124), we get a palindrome (86454045468).

The spelling of 42153010344 in words is "forty-two billion, one hundred fifty-three million, ten thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 585458477 1170916954 1756375431 2341833908 3512750862 4683667816 5269126293 7025501724 10538252586 14051003448 21076505172 42153010344