Search a number
-
+
30312441242424 = 233211320311949199
BaseRepresentation
bin1101110010001101010100…
…10010101110001100111000
310222022211201011000101101200
412321012222102232030320
512433114334424224144
6144245202051214200
76246000360211425
oct671065222561470
9128284634011350
1030312441242424
119727485923990
1234969072a7360
1313bb5b2954163
1476b1b6968d4c
15378769816c69
hex1b91aa4ae338

30312441242424 has 96 divisors (see below), whose sum is σ = 89587454112000. Its totient is φ = 9182719679040.

The previous prime is 30312441242423. The next prime is 30312441242449. The reversal of 30312441242424 is 42424214421303.

30312441242424 is a `hidden beast` number, since 30 + 3 + 124 + 41 + 2 + 42 + 424 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30312441242423) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3437824 + ... + 8511375.

It is an arithmetic number, because the mean of its divisors is an integer number (933202647000).

Almost surely, 230312441242424 is an apocalyptic number.

It is an amenable number.

30312441242424 is an abundant number, since it is smaller than the sum of its proper divisors (59275012869576).

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

30312441242424 is a wasteful number, since it uses less digits than its factorization.

30312441242424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11952425 (or 11952418 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 30312441242424 its reverse (42424214421303), we get a palindrome (72736655663727).

The spelling of 30312441242424 in words is "thirty trillion, three hundred twelve billion, four hundred forty-one million, two hundred forty-two thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 396 792 3203 6406 9609 12812 19218 25624 28827 35233 38436 57654 70466 76872 105699 115308 140932 211398 230616 281864 317097 422796 634194 845592 1268388 2536776 11949199 23898398 35847597 47796796 71695194 95593592 107542791 131441189 143390388 215085582 262882378 286780776 394323567 430171164 525764756 788647134 860342328 1051529512 1182970701 1577294268 2365941402 3154588536 4731882804 9463765608 38273284397 76546568794 114819853191 153093137588 229639706382 306186275176 344459559573 421006128367 459279412764 688919119146 842012256734 918558825528 1263018385101 1377838238292 1684024513468 2526036770202 2755676476584 3368049026936 3789055155303 5052073540404 7578110310606 10104147080808 15156220621212 30312441242424