Search a number
-
+
20344035221406 = 23313461577108949
BaseRepresentation
bin1001010000000101101101…
…11111100001111110011110
32200000212111210102120001000
410220002312333201332132
510131304041004041111
6111133530514531130
74166544105115041
oct450026677417636
980025453376030
1020344035221406
1165339475729a6
122346988296aa6
13b47585199070
1450492984cc58
152542dd40cc56
hex1280b6fe1f9e

20344035221406 has 128 divisors (see below), whose sum is σ = 48877201296000. Its totient is φ = 6235242209280.

The previous prime is 20344035221399. The next prime is 20344035221507. The reversal of 20344035221406 is 60412253044302.

20344035221406 is a `hidden beast` number, since 2 + 0 + 34 + 403 + 5 + 2 + 214 + 0 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 186675420 + ... + 186784368.

It is an arithmetic number, because the mean of its divisors is an integer number (381853135125).

Almost surely, 220344035221406 is an apocalyptic number.

20344035221406 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 20344035221406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24438600648000).

20344035221406 is an abundant number, since it is smaller than the sum of its proper divisors (28533166074594).

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

20344035221406 is a wasteful number, since it uses less digits than its factorization.

20344035221406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110011 (or 110005 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

Adding to 20344035221406 its reverse (60412253044302), we get a palindrome (80756288265708).

The spelling of 20344035221406 in words is "twenty trillion, three hundred forty-four billion, thirty-five million, two hundred twenty-one thousand, four hundred six".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 117 234 351 461 577 702 922 1154 1383 1731 2766 3462 4149 5193 5993 7501 8298 10386 11986 12447 15002 15579 17979 22503 24894 31158 35958 45006 53937 67509 107874 108949 135018 161811 202527 217898 265997 323622 326847 405054 531994 653694 797991 980541 1416337 1595982 1961082 2393973 2832674 2941623 3457961 4249011 4787946 5883246 6915922 7181919 8498022 10373883 12747033 14363838 20747766 25494066 31121649 38241099 50225489 62243298 62863573 76482198 93364947 100450978 125727146 150676467 186729894 188590719 301352934 377181438 452029401 565772157 652931357 817226449 904058802 1131544314 1305862714 1356088203 1634452898 1697316471 1958794071 2451679347 2712176406 3394632942 3917588142 4903358694 5876382213 7355038041 11752764426 14710076082 17629146639 22065114123 28980107153 35258293278 44130228246 57960214306 86940321459 173880642918 260820964377 376741392989 521641928754 753482785978 782462893131 1130224178967 1564925786262 2260448357934 3390672536901 6781345073802 10172017610703 20344035221406