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42401142324 = 223229113359417
BaseRepresentation
bin100111011111010011…
…100001011000110100
311001110000020012112200
4213133103201120310
51143314143023244
631251231344500
73030511522512
oct473723413064
9131400205480
1042401142324
1116a89380892
128274082130
133cc967b138
1420a34474b2
1511826d6669
hex9df4e1634

42401142324 has 72 divisors (see below), whose sum is σ = 111858069960. Its totient is φ = 13525542912.

The previous prime is 42401142313. The next prime is 42401142341. The reversal of 42401142324 is 42324110424.

42401142324 is a `hidden beast` number, since 424 + 0 + 1 + 1 + 4 + 232 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 821854224 + 41579288100 = 28668^2 + 203910^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61737 + ... + 297680.

It is an arithmetic number, because the mean of its divisors is an integer number (1553584305).

Almost surely, 242401142324 is an apocalyptic number.

It is an amenable number.

42401142324 is an abundant number, since it is smaller than the sum of its proper divisors (69456927636).

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

42401142324 is a wasteful number, since it uses less digits than its factorization.

42401142324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359569 (or 359564 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 42401142324 its reverse (42324110424), we get a palindrome (84725252748).

The spelling of 42401142324 in words is "forty-two billion, four hundred one million, one hundred forty-two thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 113 116 174 226 261 339 348 452 522 678 1017 1044 1356 2034 3277 4068 6554 9831 13108 19662 29493 39324 58986 117972 359417 718834 1078251 1437668 2156502 3234753 4313004 6469506 10423093 12939012 20846186 31269279 40614121 41692372 62538558 81228242 93807837 121842363 125077116 162456484 187615674 243684726 365527089 375231348 487369452 731054178 1177809509 1462108356 2355619018 3533428527 4711238036 7066857054 10600285581 14133714108 21200571162 42401142324