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4032042041000 = 235319467454417
BaseRepresentation
bin111010101011001000011…
…011101111111010101000
3112021110101221110000221102
4322223020123233322220
51012030110230303000
612324143342100532
7564206521602221
oct72531033577250
915243357400842
104032042041000
111314a85687296
1255152a87a748
132332b22676cc
14dd21aa68248
156ed38eed3d5
hex3aac86efea8

4032042041000 has 128 divisors (see below), whose sum is σ = 9952844803200. Its totient is φ = 1524656563200.

The previous prime is 4032042040987. The next prime is 4032042041017. The reversal of 4032042041000 is 1402402304.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8645792 + ... + 9100208.

It is an arithmetic number, because the mean of its divisors is an integer number (77756600025).

Almost surely, 24032042041000 is an apocalyptic number.

4032042041000 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 4032042041000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4976422401600).

4032042041000 is an abundant number, since it is smaller than the sum of its proper divisors (5920802762200).

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

4032042041000 is a wasteful number, since it uses less digits than its factorization.

4032042041000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 454924 (or 454910 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 4032042041000 its reverse (1402402304), we get a palindrome (4033444443304).

The spelling of 4032042041000 in words is "four trillion, thirty-two billion, forty-two million, forty-one thousand".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 125 152 190 200 250 380 467 475 500 760 934 950 1000 1868 1900 2335 2375 3736 3800 4670 4750 8873 9340 9500 11675 17746 18680 19000 23350 35492 44365 46700 58375 70984 88730 93400 116750 177460 221825 233500 354920 443650 454417 467000 887300 908834 1109125 1774600 1817668 2218250 2272085 3635336 4436500 4544170 8633923 8873000 9088340 11360425 17267846 18176680 22720850 34535692 43169615 45441700 56802125 69071384 86339230 90883400 113604250 172678460 212212739 215848075 227208500 345356920 424425478 431696150 454417000 848850956 863392300 1061063695 1079240375 1697701912 1726784600 2122127390 2158480750 4032042041 4244254780 4316961500 5305318475 8064084082 8488509560 8633923000 10610636950 16128168164 20160210205 21221273900 26526592375 32256336328 40320420410 42442547800 53053184750 80640840820 100801051025 106106369500 161281681640 201602102050 212212739000 403204204100 504005255125 806408408200 1008010510250 2016021020500 4032042041000