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24204224041140 = 223511132821005133
BaseRepresentation
bin1011000000011011111000…
…01011010001000010110100
310011200220022222201102012110
411200031330023101002310
511133030222323304030
6123251133402051020
75045461143522543
oct540157413210264
9104626288642173
1024204224041140
117791a545174a0
12286ab357a9a70
1310675aa573c60
145d96c267215a
152be91a0431b0
hex16037c2d10b4

24204224041140 has 96 divisors (see below), whose sum is σ = 79620048902016. Its totient is φ = 5416329853440.

The previous prime is 24204224041087. The next prime is 24204224041169. The reversal of 24204224041140 is 4114042240242.

It is a super-2 number, since 2×242042240411402 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 24204224041098 and 24204224041107.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1410493987 + ... + 1410511146.

It is an arithmetic number, because the mean of its divisors is an integer number (829375509396).

Almost surely, 224204224041140 is an apocalyptic number.

24204224041140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

24204224041140 is an abundant number, since it is smaller than the sum of its proper divisors (55415824860876).

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

24204224041140 is a wasteful number, since it uses less digits than its factorization.

24204224041140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2821005169 (or 2821005167 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 30.

Adding to 24204224041140 its reverse (4114042240242), we get a palindrome (28318266281382).

The spelling of 24204224041140 in words is "twenty-four trillion, two hundred four billion, two hundred twenty-four million, forty-one thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 13 15 20 22 26 30 33 39 44 52 55 60 65 66 78 110 130 132 143 156 165 195 220 260 286 330 390 429 572 660 715 780 858 1430 1716 2145 2860 4290 8580 2821005133 5642010266 8463015399 11284020532 14105025665 16926030798 28210051330 31031056463 33852061596 36673066729 42315076995 56420102660 62062112926 73346133458 84630153990 93093169389 110019200187 124124225852 146692266916 155155282315 169260307980 183365333645 186186338778 220038400374 310310564630 366730667290 372372677556 403403734019 440076800748 465465846945 550096000935 620621129260 733461334580 806807468038 930931693890 1100192001870 1210211202057 1613614936076 1861863387780 2017018670095 2200384003740 2420422404114 4034037340190 4840844808228 6051056010285 8068074680380 12102112020570 24204224041140