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4440212122032 = 2433431061225287
BaseRepresentation
bin100000010011101000101…
…0001000010100110110000
3120201110222000110112011000
41000213101101002212300
51040222023300401112
613235445535322000
7635536411210401
oct100472121024660
916643860415130
104440212122032
1114620a0a94475
125b8662080300
1326293042900b
14114c9bd299a8
157a777cdb7dc
hex409d14429b0

4440212122032 has 160 divisors (see below), whose sum is σ = 13053799503360. Its totient is φ = 1444281511680.

The previous prime is 4440212121923. The next prime is 4440212122037. The reversal of 4440212122032 is 2302212120444.

It is a happy number.

4440212122032 is a `hidden beast` number, since 4 + 4 + 402 + 1 + 2 + 1 + 220 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 4440212121987 and 4440212122005.

It is not an unprimeable number, because it can be changed into a prime (4440212122037) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19596493 + ... + 19821779.

It is an arithmetic number, because the mean of its divisors is an integer number (81586246896).

Almost surely, 24440212122032 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 4440212122032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6526899751680).

4440212122032 is an abundant number, since it is smaller than the sum of its proper divisors (8613587381328).

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

4440212122032 is a wasteful number, since it uses less digits than its factorization.

4440212122032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226408 (or 226396 counting only the distinct ones).

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

Adding to 4440212122032 its reverse (2302212120444), we get a palindrome (6742424242476).

The spelling of 4440212122032 in words is "four trillion, four hundred forty billion, two hundred twelve million, one hundred twenty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 43 48 54 72 86 108 129 144 172 216 258 344 387 432 516 688 774 1032 1061 1161 1548 2064 2122 2322 3096 3183 4244 4644 6192 6366 8488 9288 9549 12732 16976 18576 19098 25464 28647 38196 45623 50928 57294 76392 91246 114588 136869 152784 182492 225287 229176 273738 364984 410607 450574 458352 547476 675861 729968 821214 901148 1094952 1231821 1351722 1642428 1802296 2027583 2189904 2463642 2703444 3284856 3604592 4055166 4927284 5406888 6082749 6569712 8110332 9687341 9854568 10813776 12165498 16220664 19374682 19709136 24330996 29062023 32441328 38749364 48661992 58124046 77498728 87186069 97323984 116248092 154997456 174372138 232496184 239029507 261558207 348744276 464992368 478059014 523116414 697488552 717088521 956118028 1046232828 1394977104 1434177042 1912236056 2092465656 2151265563 2868354084 3824472112 4184931312 4302531126 5736708168 6453796689 8605062252 10278268801 11473416336 12907593378 17210124504 20556537602 25815186756 30834806403 34420249008 41113075204 51630373512 61669612806 82226150408 92504419209 103260747024 123339225612 164452300816 185008838418 246678451224 277513257627 370017676836 493356902448 555026515254 740035353672 1110053030508 1480070707344 2220106061016 4440212122032