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4142032220000 = 25541012050511
BaseRepresentation
bin111100010001100100010…
…110111110111101100000
3112122222022100101001102202
4330101210112332331200
51020330340222020000
612450453501232332
7605152263650063
oct74214426767540
915588270331382
104142032220000
111357698229774
1256a9062626a8
1324079070636c
141046928128da
1572b25305dd5
hex3c4645bef60

4142032220000 has 120 divisors (see below), whose sum is σ = 10290916877472. Its totient is φ = 1640408000000.

The previous prime is 4142032219967. The next prime is 4142032220063. The reversal of 4142032220000 is 222302414.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 994745 + ... + 3045255.

Almost surely, 24142032220000 is an apocalyptic number.

4142032220000 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 4142032220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5145458438736).

4142032220000 is an abundant number, since it is smaller than the sum of its proper divisors (6148884657472).

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

4142032220000 is a wasteful number, since it uses less digits than its factorization.

4142032220000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2050642 (or 2050619 counting only the distinct ones).

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

Adding to 4142032220000 its reverse (222302414), we get a palindrome (4142254522414).

The spelling of 4142032220000 in words is "four trillion, one hundred forty-two billion, thirty-two million, two hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 101 125 160 200 202 250 400 404 500 505 625 800 808 1000 1010 1250 1616 2000 2020 2500 2525 3232 4000 4040 5000 5050 8080 10000 10100 12625 16160 20000 20200 25250 40400 50500 63125 80800 101000 126250 202000 252500 404000 505000 1010000 2020000 2050511 4101022 8202044 10252555 16404088 20505110 32808176 41010220 51262775 65616352 82020440 102525550 164040880 205051100 207101611 256313875 328081760 410102200 414203222 512627750 820204400 828406444 1025255500 1035508055 1281569375 1640408800 1656812888 2050511000 2071016110 2563138750 3313625776 4101022000 4142032220 5126277500 5177540275 6627251552 8202044000 8284064440 10252555000 10355080550 16568128880 20505110000 20710161100 25887701375 33136257760 41010220000 41420322200 51775402750 82840644400 103550805500 129438506875 165681288800 207101611000 258877013750 414203222000 517754027500 828406444000 1035508055000 2071016110000 4142032220000