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4021144002232 = 237292909851177
BaseRepresentation
bin111010100000111110110…
…111000001111010111000
3112020102021102212022012221
4322200332313001322320
51011340300331032412
612315142115213424
7563342461030360
oct72407667017270
915212242768187
104021144002232
1113103a2a5a485
1254b3a8ba7274
132322664bc466
14dc8a55399a0
156e8ec39eb07
hex3a83edc1eb8

4021144002232 has 64 divisors (see below), whose sum is σ = 8916940728000. Its totient is φ = 1663347710976.

The previous prime is 4021144002163. The next prime is 4021144002241. The reversal of 4021144002232 is 2322004411204.

It is a junction number, because it is equal to n+sod(n) for n = 4021144002197 and 4021144002206.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4298628 + ... + 5149804.

It is an arithmetic number, because the mean of its divisors is an integer number (139327198875).

Almost surely, 24021144002232 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 4021144002232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4458470364000).

4021144002232 is an abundant number, since it is smaller than the sum of its proper divisors (4895796725768).

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

4021144002232 is a wasteful number, since it uses less digits than its factorization.

4021144002232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 854128 (or 854124 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 4021144002232 its reverse (2322004411204), we get a palindrome (6343148413436).

The spelling of 4021144002232 in words is "four trillion, twenty-one billion, one hundred forty-four million, two thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 14 28 29 56 58 116 203 232 406 812 1624 2909 5818 11636 20363 23272 40726 81452 84361 162904 168722 337444 590527 674888 851177 1181054 1702354 2362108 3404708 4724216 5958239 6809416 11916478 23832956 24684133 47665912 49368266 98736532 172788931 197473064 345577862 691155724 1382311448 2476073893 4952147786 9904295572 17332517251 19808591144 34665034502 69330069004 71806142897 138660138008 143612285794 287224571588 502643000279 574449143176 1005286000558 2010572001116 4021144002232