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4233421142000 = 24538368337339
BaseRepresentation
bin111101100110101011100…
…100000011011111110000
3112222201012101202022100122
4331212223210003133300
51023330021303021000
613000450135105412
7614566056656651
oct75465344033760
915881171668318
104233421142000
111392424962486
12584570212268
132492961c897b
14108c81d7b528
15751c358a085
hex3d9ab9037f0

4233421142000 has 160 divisors (see below), whose sum is σ = 10375188445440. Its totient is φ = 1670472249600.

The previous prime is 4233421141877. The next prime is 4233421142017. The reversal of 4233421142000 is 2411243324.

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 31 ways as a sum of consecutive naturals, for example, 113359331 + ... + 113396669.

It is an arithmetic number, because the mean of its divisors is an integer number (64844927784).

Almost surely, 24233421142000 is an apocalyptic number.

4233421142000 is a gapful number since it is divisible by the number (40) 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 4233421142000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5187594222720).

4233421142000 is an abundant number, since it is smaller than the sum of its proper divisors (6141767303440).

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

4233421142000 is a wasteful number, since it uses less digits than its factorization.

4233421142000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38128 (or 38112 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 4233421142000 its reverse (2411243324), we get a palindrome (4235832385324).

The spelling of 4233421142000 in words is "four trillion, two hundred thirty-three billion, four hundred twenty-one million, one hundred forty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 83 100 125 166 200 250 332 400 415 500 664 683 830 1000 1328 1366 1660 2000 2075 2732 3320 3415 4150 5464 6640 6830 8300 10375 10928 13660 16600 17075 20750 27320 33200 34150 37339 41500 54640 56689 68300 74678 83000 85375 113378 136600 149356 166000 170750 186695 226756 273200 283445 298712 341500 373390 453512 566890 597424 683000 746780 907024 933475 1133780 1366000 1417225 1493560 1866950 2267560 2834450 2987120 3099137 3733900 4535120 4667375 5668900 6198274 7086125 7467800 9334750 11337800 12396548 14172250 14935600 15495685 18669500 22675600 24793096 25502537 28344500 30991370 37339000 49586192 51005074 56689000 61982740 74678000 77478425 102010148 113378000 123965480 127512685 154956850 204020296 247930960 255025370 309913700 387392125 408040592 510050740 619827400 637563425 774784250 1020101480 1239654800 1275126850 1549568500 2040202960 2116710571 2550253700 3099137000 3187817125 4233421142 5100507400 6198274000 6375634250 8466842284 10201014800 10583552855 12751268500 16933684568 21167105710 25502537000 33867369136 42334211420 51005074000 52917764275 84668422840 105835528550 169336845680 211671057100 264588821375 423342114200 529177642750 846684228400 1058355285500 2116710571000 4233421142000