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10242424131444 = 22321142324906923
BaseRepresentation
bin1001010100001100000000…
…0011010100111101110100
31100021011111011000010000100
42111003000003110331310
52320302441034201234
633441145451314100
72104663550432601
oct225030003247564
940234434003010
1010242424131444
11329987344807a
12119507314b930
13593b1981464b
14275a4371d6a8
1512b667ae0399
hex950c00d4f74

10242424131444 has 36 divisors (see below), whose sum is σ = 25892839679616. Its totient is φ = 3413842357008.

The previous prime is 10242424131349. The next prime is 10242424131469. The reversal of 10242424131444 is 44413142424201.

10242424131444 is a `hidden beast` number, since 1 + 0 + 2 + 42 + 42 + 4 + 131 + 444 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 10242424131399 and 10242424131408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12042234 + ... + 12864689.

It is an arithmetic number, because the mean of its divisors is an integer number (719245546656).

Almost surely, 210242424131444 is an apocalyptic number.

It is an amenable number.

10242424131444 is an abundant number, since it is smaller than the sum of its proper divisors (15650415548172).

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

10242424131444 is a wasteful number, since it uses less digits than its factorization.

10242424131444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24918356 (or 24918351 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 36.

Adding to 10242424131444 its reverse (44413142424201), we get a palindrome (54655566555645).

The spelling of 10242424131444 in words is "ten trillion, two hundred forty-two billion, four hundred twenty-four million, one hundred thirty-one thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 11423 22846 34269 45692 68538 102807 137076 205614 411228 24906923 49813846 74720769 99627692 149441538 224162307 298883076 448324614 896649228 284511781429 569023562858 853535344287 1138047125716 1707070688574 2560606032861 3414141377148 5121212065722 10242424131444