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100411321444 = 22723712196031
BaseRepresentation
bin101110110000011111…
…0110010110001100100
3100121011211121122012021
41131200332302301210
53121120244241234
6114043415032524
710153200102250
oct1354076626144
9317154548167
10100411321444
1139647633a85
121756366b744
139612ab6205
144c07931260
15292a3d79b4
hex1760fb2c64

100411321444 has 48 divisors (see below), whose sum is σ = 212505624576. Its totient is φ = 40582634400.

The previous prime is 100411321433. The next prime is 100411321453. The reversal of 100411321444 is 444123114001.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1052292 + ... + 1143739.

It is an arithmetic number, because the mean of its divisors is an integer number (4427200512).

Almost surely, 2100411321444 is an apocalyptic number.

100411321444 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

100411321444 is an abundant number, since it is smaller than the sum of its proper divisors (112094303132).

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

100411321444 is a wasteful number, since it uses less digits than its factorization.

100411321444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2196136 (or 2196134 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

Adding to 100411321444 its reverse (444123114001), we get a palindrome (544534435445).

The spelling of 100411321444 in words is "one hundred billion, four hundred eleven million, three hundred twenty-one thousand, four hundred forty-four".

Divisors: 1 2 4 7 14 23 28 46 71 92 142 161 284 322 497 644 994 1633 1988 3266 6532 11431 22862 45724 2196031 4392062 8784124 15372217 30744434 50508713 61488868 101017426 155918201 202034852 311836402 353560991 623672804 707121982 1091427407 1414243964 2182854814 3586118623 4365709628 7172237246 14344474492 25102830361 50205660722 100411321444