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4022104241400 = 233527957643867
BaseRepresentation
bin111010100001111000000…
…110000011010011111000
3112020111202100201111201120
4322201320012003103320
51011344232141211100
612315421300345240
7563405330650440
oct72417006032370
915214670644646
104022104241400
111310845a96373
1254b6166a5220
1323238a41790b
14dc956c97120
156e95682a0a0
hex3a8781834f8

4022104241400 has 96 divisors (see below), whose sum is σ = 14249740755840. Its totient is φ = 919338111360.

The previous prime is 4022104241341. The next prime is 4022104241401. The reversal of 4022104241400 is 41424012204.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4022104241401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 478817734 + ... + 478826133.

It is an arithmetic number, because the mean of its divisors is an integer number (148434799540).

Almost surely, 24022104241400 is an apocalyptic number.

4022104241400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4022104241400 is an abundant number, since it is smaller than the sum of its proper divisors (10227636514440).

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

4022104241400 is a wasteful number, since it uses less digits than its factorization.

4022104241400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 957643893 (or 957643884 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 4022104241400 its reverse (41424012204), we get a palindrome (4063528253604).

The spelling of 4022104241400 in words is "four trillion, twenty-two billion, one hundred four million, two hundred forty-one thousand, four 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 957643867 1915287734 2872931601 3830575468 4788219335 5745863202 6703507069 7661150936 9576438670 11491726404 13407014138 14364658005 19152877340 20110521207 22983452808 23941096675 26814028276 28729316010 33517535345 38305754680 40221042414 47882193350 53628056552 57458632020 67035070690 71823290025 80442084828 95764386700 100552606035 114917264040 134070141380 143646580050 160884169656 167587676725 191528773400 201105212070 268140282760 287293160100 335175353450 402210424140 502763030175 574586320200 670350706900 804420848280 1005526060350 1340701413800 2011052120700 4022104241400