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4042122340200 = 233527962410081
BaseRepresentation
bin111010110100100001010…
…001000010011101101000
3112022102102110022021212020
4322310201101002131220
51012211231304341300
612332531513544440
7565014362664510
oct72644121023550
915272373267766
104042122340200
11131928875727a
12553482715120
1323422a78b4a9
14dd8d5730840
1570228e6d8a0
hex3ad21442768

4042122340200 has 96 divisors (see below), whose sum is σ = 14320662020160. Its totient is φ = 923913676800.

The previous prime is 4042122340189. The next prime is 4042122340231. The reversal of 4042122340200 is 20432212404.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 481200841 + ... + 481209240.

It is an arithmetic number, because the mean of its divisors is an integer number (149173562710).

Almost surely, 24042122340200 is an apocalyptic number.

4042122340200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4042122340200 is an abundant number, since it is smaller than the sum of its proper divisors (10278539679960).

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

4042122340200 is a wasteful number, since it uses less digits than its factorization.

4042122340200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 962410107 (or 962410098 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 4042122340200 its reverse (20432212404), we get a palindrome (4062554552604).

The spelling of 4042122340200 in words is "four trillion, forty-two billion, one hundred twenty-two million, three hundred forty thousand, two hundred".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 25 28 30 35 40 42 50 56 60 70 75 84 100 105 120 140 150 168 175 200 210 280 300 350 420 525 600 700 840 1050 1400 2100 4200 962410081 1924820162 2887230243 3849640324 4812050405 5774460486 6736870567 7699280648 9624100810 11548920972 13473741134 14436151215 19248201620 20210611701 23097841944 24060252025 26947482268 28872302430 33684352835 38496403240 40421223402 48120504050 53894964536 57744604860 67368705670 72180756075 80842446804 96241008100 101053058505 115489209720 134737411340 144361512150 161684893608 168421764175 192482016200 202106117010 269474822680 288723024300 336843528350 404212234020 505265292525 577446048600 673687056700 808424468040 1010530585050 1347374113400 2021061170100 4042122340200