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300242442434031 = 322959127153523847
BaseRepresentation
bin100010001000100011010010…
…0001000001011010111101111
31110101001220020001011022110200
41010101012210020023113233
5303323133010230342111
62542321250211004543
7120145541421244566
oct10421064410132757
91411056201138420
10300242442434031
11877371174a4589
1229810bb6599753
13cb6b9827cb886
14541db5162cbdd
1524a9edce24256
hex11111a420b5ef

300242442434031 has 48 divisors (see below), whose sum is σ = 459834629529600. Its totient is φ = 188487980783424.

The previous prime is 300242442434029. The next prime is 300242442434057. The reversal of 300242442434031 is 130434244242003.

300242442434031 is a `hidden beast` number, since 3 + 0 + 0 + 2 + 4 + 2 + 4 + 4 + 243 + 403 + 1 = 666.

It is not a de Polignac number, because 300242442434031 - 21 = 300242442434029 is a prime.

It is a super-2 number, since 2×3002424424340312 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (300242442435031) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 74806251 + ... + 78717596.

It is an arithmetic number, because the mean of its divisors is an integer number (9579888115200).

Almost surely, 2300242442434031 is an apocalyptic number.

300242442434031 is a deficient number, since it is larger than the sum of its proper divisors (159592187095569).

300242442434031 is a wasteful number, since it uses less digits than its factorization.

300242442434031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153524068 (or 153524065 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 36.

Adding to 300242442434031 its reverse (130434244242003), we get a palindrome (430676686676034).

The spelling of 300242442434031 in words is "three hundred trillion, two hundred forty-two billion, four hundred forty-two million, four hundred thirty-four thousand, thirty-one".

Divisors: 1 3 9 29 59 87 127 177 261 381 531 1143 1711 3683 5133 7493 11049 15399 22479 33147 67437 217297 651891 1955673 153523847 460571541 1381714623 4452191563 9057906973 13356574689 19497528569 27173720919 40069724067 58492585707 81521162757 175477757121 262679302217 565428328501 788037906651 1150354185571 1696284985503 2364113719953 3451062556713 5088854956509 10353187670139 33360271381559 100080814144677 300242442434031