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24244202114020 = 22572192116170861
BaseRepresentation
bin1011000001100110010110…
…00011100000101111100100
310011211201112010111221100101
411200303023003200233210
511134204111220122040
6123321344354553444
75051404633530100
oct540631303405744
9104751463457311
1024244202114020
1177a79aa059349
122876832298884
13106b2abc19b95
145db5d5d72900
152c09a9b4809a
hex160ccb0e0be4

24244202114020 has 144 divisors (see below), whose sum is σ = 62637704982720. Its totient is φ = 7837485868800.

The previous prime is 24244202114003. The next prime is 24244202114053. The reversal of 24244202114020 is 2041120244242.

It is a happy number.

It is a super-2 number, since 2×242442021140202 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 24244202114020.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 843390 + ... + 7014250.

It is an arithmetic number, because the mean of its divisors is an integer number (434984062380).

Almost surely, 224244202114020 is an apocalyptic number.

24244202114020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 24244202114020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31318852491360).

24244202114020 is an abundant number, since it is smaller than the sum of its proper divisors (38393502868700).

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

24244202114020 is a wasteful number, since it uses less digits than its factorization.

24244202114020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6171114 (or 6171105 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 28.

Adding to 24244202114020 its reverse (2041120244242), we get a palindrome (26285322358262).

It can be divided in two parts, 242442021 and 14020, that added together give a square (242456041 = 155712).

The spelling of 24244202114020 in words is "twenty-four trillion, two hundred forty-four billion, two hundred two million, one hundred fourteen thousand, twenty".

Divisors: 1 2 4 5 7 10 14 19 20 28 35 38 49 70 76 95 98 133 140 190 196 211 245 266 380 422 490 532 665 844 931 980 1055 1330 1477 1862 2110 2660 2954 3724 4009 4220 4655 5908 7385 8018 9310 10339 14770 16036 18620 20045 20678 28063 29540 40090 41356 51695 56126 80180 103390 112252 140315 196441 206780 280630 392882 561260 785764 982205 1964410 3928820 6170861 12341722 24683444 30854305 43196027 61708610 86392054 117246359 123417220 172784108 215980135 234492718 302372189 431960270 468985436 586231795 604744378 820724513 863920540 1172463590 1209488756 1302051671 1511860945 1641449026 2344927180 2604103342 3023721890 3282898052 4103622565 5208206684 5745071591 6047443780 6510258355 8207245130 9114361697 11490143182 13020516710 16414490260 18228723394 22980286364 24738981749 26041033420 28725357955 36457446788 45571808485 49477963498 57450715910 63800531879 91143616970 98955926996 114901431820 123694908745 127601063758 173172872243 182287233940 247389817490 255202127516 319002659395 346345744486 494779634980 638005318790 692691488972 865864361215 1212210105701 1276010637580 1731728722430 2424420211402 3463457444860 4848840422804 6061050528505 12122101057010 24244202114020