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24230422433412 = 223213611495696381
BaseRepresentation
bin1011000001001100101011…
…01110001100111010000100
310011210101221210121122011100
411200212111232030322010
511133442401120332122
6123311145152340100
75050406312265126
oct540462556147204
9104711853548140
1024230422433412
1177a2078861358
122874027544630
131069bc415ac10
145daa89c4b216
152c0450034aac
hex160995b8ce84

24230422433412 has 144 divisors (see below), whose sum is σ = 67491873212400. Its totient is φ = 7284075033600.

The previous prime is 24230422433359. The next prime is 24230422433419. The reversal of 24230422433412 is 21433422403242.

24230422433412 is a `hidden beast` number, since 2 + 4 + 2 + 30 + 42 + 243 + 341 + 2 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 13605651925056 + 10624770508356 = 3688584^2 + 3259566^2 .

It is a super-2 number, since 2×242304224334122 (a number of 28 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (24230422433419) 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, 1405462 + ... + 7101842.

It is an arithmetic number, because the mean of its divisors is an integer number (468693563975).

Almost surely, 224230422433412 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 24230422433412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33745936606200).

24230422433412 is an abundant number, since it is smaller than the sum of its proper divisors (43261450778988).

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

24230422433412 is a wasteful number, since it uses less digits than its factorization.

24230422433412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5696614 (or 5696609 counting only the distinct ones).

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

Adding to 24230422433412 its reverse (21433422403242), we get a palindrome (45663844836654).

The spelling of 24230422433412 in words is "twenty-four trillion, two hundred thirty billion, four hundred twenty-two million, four hundred thirty-three thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 61 78 117 122 149 156 183 234 244 298 366 447 468 549 596 732 793 894 1098 1341 1586 1788 1937 2196 2379 2682 3172 3874 4758 5364 5811 7137 7748 9089 9516 11622 14274 17433 18178 23244 27267 28548 34866 36356 54534 69732 81801 109068 118157 163602 236314 327204 354471 472628 708942 1063413 1417884 2126826 4253652 5696381 11392762 17089143 22785524 34178286 51267429 68356572 74052953 102534858 148105906 205069716 222158859 296211812 347479241 444317718 666476577 694958482 848760769 888635436 1042437723 1332953154 1389916964 1697521538 2084875446 2546282307 2665906308 3127313169 3395043076 4169750892 4517230133 5092564614 6254626338 7638846921 9034460266 10185129228 11033889997 12509252676 13551690399 15277693842 18068920532 22067779994 27103380798 30555387684 33101669991 40655071197 44135559988 51774406909 54206761596 66203339982 81310142394 99305009973 103548813818 132406679964 155323220727 162620284788 198610019946 207097627636 310646441454 397220039892 465969662181 621292882908 673067289817 931939324362 1346134579634 1863878648724 2019201869451 2692269159268 4038403738902 6057605608353 8076807477804 12115211216706 24230422433412