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2342001104000 = 2753197703951
BaseRepresentation
bin100010000101001010001…
…001001101010010000000
322021220010002021000211122
4202011022021031102000
5301332404240312000
64551522255331412
7331126653631565
oct42051211152200
98256102230748
102342001104000
11823267627188
12319a8b520b68
1313cb07bb822c
14814d3c6486c
1540dc2ba3085
hex2214a24d480

2342001104000 has 128 divisors (see below), whose sum is σ = 6129264211200. Its totient is φ = 887495040000.

The previous prime is 2342001103997. The next prime is 2342001104119. The reversal of 2342001104000 is 4011002432.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×23420011040002 (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2342001104000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3547976 + ... + 4155975.

It is an arithmetic number, because the mean of its divisors is an integer number (47884876650).

Almost surely, 22342001104000 is an apocalyptic number.

2342001104000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2342001104000 is an abundant number, since it is smaller than the sum of its proper divisors (3787263107200).

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

2342001104000 is an equidigital number, since it uses as much as digits as its factorization.

2342001104000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7703999 (or 7703977 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 2342001104000 its reverse (4011002432), we get a palindrome (2346012106432).

The spelling of 2342001104000 in words is "two trillion, three hundred forty-two billion, one million, one hundred four thousand".

Divisors: 1 2 4 5 8 10 16 19 20 25 32 38 40 50 64 76 80 95 100 125 128 152 160 190 200 250 304 320 380 400 475 500 608 640 760 800 950 1000 1216 1520 1600 1900 2000 2375 2432 3040 3200 3800 4000 4750 6080 7600 8000 9500 12160 15200 16000 19000 30400 38000 60800 76000 152000 304000 7703951 15407902 30815804 38519755 61631608 77039510 123263216 146375069 154079020 192598775 246526432 292750138 308158040 385197550 493052864 585500276 616316080 731875345 770395100 962993875 986105728 1171000552 1232632160 1463750690 1540790200 1925987750 2342001104 2465264320 2927501380 3081580400 3659376725 3851975500 4684002208 4930528640 5855002760 6163160800 7318753450 7703951000 9368004416 11710005520 12326321600 14637506900 15407902000 18296883625 18736008832 23420011040 24652643200 29275013800 30815804000 36593767250 46840022080 58550027600 61631608000 73187534500 93680044160 117100055200 123263216000 146375069000 234200110400 292750138000 468400220800 585500276000 1171000552000 2342001104000