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4042423131000 = 233534912744347
BaseRepresentation
bin111010110100110011001…
…100011101101101111000
3112022110012102022001021020
4322310303030131231320
51012212340310143000
612333021420542440
7565025004446562
oct72646314355570
915273172261236
104042423131000
111319422520911
125535473b1a20
13234277ba5207
14dd92366c332
1570245586ba0
hex3ad3331db78

4042423131000 has 128 divisors (see below), whose sum is σ = 12638051861760. Its totient is φ = 1075783632000.

The previous prime is 4042423130981. The next prime is 4042423131037. The reversal of 4042423131000 is 1313242404.

It is a super-2 number, since 2×40424231310002 (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

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, 100827 + ... + 2845173.

It is an arithmetic number, because the mean of its divisors is an integer number (98734780170).

Almost surely, 24042423131000 is an apocalyptic number.

4042423131000 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 4042423131000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6319025930880).

4042423131000 is an abundant number, since it is smaller than the sum of its proper divisors (8595628730760).

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

4042423131000 is a wasteful number, since it uses less digits than its factorization.

4042423131000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2744862 (or 2744848 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 4042423131000 its reverse (1313242404), we get a palindrome (4043736373404).

The spelling of 4042423131000 in words is "four trillion, forty-two billion, four hundred twenty-three million, one hundred thirty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 491 500 600 750 982 1000 1473 1500 1964 2455 2946 3000 3928 4910 5892 7365 9820 11784 12275 14730 19640 24550 29460 36825 49100 58920 61375 73650 98200 122750 147300 184125 245500 294600 368250 491000 736500 1473000 2744347 5488694 8233041 10977388 13721735 16466082 21954776 27443470 32932164 41165205 54886940 65864328 68608675 82330410 109773880 137217350 164660820 205826025 274434700 329321640 343043375 411652050 548869400 686086750 823304100 1029130125 1347474377 1372173500 1646608200 2058260250 2694948754 2744347000 4042423131 4116520500 5389897508 6737371885 8084846262 8233041000 10779795016 13474743770 16169692524 20212115655 26949487540 32339385048 33686859425 40424231310 53898975080 67373718850 80848462620 101060578275 134747437700 161696925240 168434297125 202121156550 269494875400 336868594250 404242313100 505302891375 673737188500 808484626200 1010605782750 1347474377000 2021211565500 4042423131000