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21140424432 = 24321094632909
BaseRepresentation
bin10011101100000100…
…010100011011110000
32000120022102211110200
4103230010110123300
5321243422040212
613413424355200
71345610433321
oct235404243360
960508384420
1021140424432
118a69244856
12411ba75b00
131cbba403aa
141047948448
1583ae396dc
hex4ec1146f0

21140424432 has 120 divisors (see below), whose sum is σ = 59856139200. Its totient is φ = 6964683264.

The previous prime is 21140424427. The next prime is 21140424439. The reversal of 21140424432 is 23442404112.

21140424432 is a `hidden beast` number, since 2 + 11 + 404 + 244 + 3 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 21140424396 and 21140424405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21140424439) 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, 7265794 + ... + 7268702.

It is an arithmetic number, because the mean of its divisors is an integer number (498801160).

Almost surely, 221140424432 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 21140424432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29928069600).

21140424432 is an abundant number, since it is smaller than the sum of its proper divisors (38715714768).

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

21140424432 is a wasteful number, since it uses less digits than its factorization.

21140424432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3495 (or 3486 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 21140424432 its reverse (23442404112), we get a palindrome (44582828544).

The spelling of 21140424432 in words is "twenty-one billion, one hundred forty million, four hundred twenty-four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 109 144 218 327 436 463 654 872 926 981 1308 1389 1744 1852 1962 2616 2778 2909 3704 3924 4167 5232 5556 5818 7408 7848 8334 8727 11112 11636 15696 16668 17454 22224 23272 26181 33336 34908 46544 50467 52362 66672 69816 100934 104724 139632 151401 201868 209448 302802 317081 403736 418896 454203 605604 634162 807472 908406 951243 1211208 1268324 1346867 1816812 1902486 2422416 2536648 2693734 2853729 3633624 3804972 4040601 5073296 5387468 5707458 7267248 7609944 8081202 10774936 11414916 12121803 15219888 16162404 21549872 22829832 24243606 32324808 45659664 48487212 64649616 96974424 146808503 193948848 293617006 440425509 587234012 880851018 1174468024 1321276527 1761702036 2348936048 2642553054 3523404072 5285106108 7046808144 10570212216 21140424432