Search a number
-
+
19400210427330 = 2325829725980221
BaseRepresentation
bin1000110100100111101101…
…01001101010110111000010
32112200122100000120021012100
410122103312221222313002
510020323112332133310
6105132200022011230
74041422204540415
oct432236651526702
975618300507170
1019400210427330
1161aa646029727
122213a83276b16
13aa9580121a55
144b0d91d11b7c
1523999d731ec0
hex11a4f6a6adc2

19400210427330 has 48 divisors (see below), whose sum is σ = 50446628424504. Its totient is φ = 5172765722880.

The previous prime is 19400210427277. The next prime is 19400210427337. The reversal of 19400210427330 is 3372401200491.

It is a happy number.

19400210427330 is a `hidden beast` number, since 1 + 9 + 400 + 210 + 4 + 2 + 7 + 3 + 30 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 19337205913281 + 63004514049 = 4397409^2 + 251007^2 .

It is a super-2 number, since 2×194002104273302 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (19400210427337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12243381 + ... + 13736840.

Almost surely, 219400210427330 is an apocalyptic number.

19400210427330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

19400210427330 is an abundant number, since it is smaller than the sum of its proper divisors (31046417997174).

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

19400210427330 is a wasteful number, since it uses less digits than its factorization.

19400210427330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25988531 (or 25988528 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 19400210427330 in words is "nineteen trillion, four hundred billion, two hundred ten million, four hundred twenty-seven thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 8297 16594 24891 41485 49782 74673 82970 124455 149346 248910 373365 746730 25980221 51960442 77940663 129901105 155881326 233821989 259802210 389703315 467643978 779406630 1169109945 2338219890 215557893637 431115787274 646673680911 1077789468185 1293347361822 1940021042733 2155578936370 3233368404555 3880042085466 6466736809110 9700105213665 19400210427330