Search a number
-
+
21412434024 = 2333338929251
BaseRepresentation
bin10011111100010001…
…111101000001101000
32001021021021100111000
4103330101331001220
5322323040342044
613500422435000
71355422454232
oct237421750150
961237240430
1021412434024
119098840673
124196b92a60
1320331bab07
141071b13252
15854c69d69
hex4fc47d068

21412434024 has 64 divisors (see below), whose sum is σ = 59498568000. Its totient is φ = 7135128000.

The previous prime is 21412434011. The next prime is 21412434053. The reversal of 21412434024 is 42043421412.

21412434024 is a `hidden beast` number, since 2 + 14 + 1 + 243 + 402 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 717399 + ... + 746649.

It is an arithmetic number, because the mean of its divisors is an integer number (929665125).

Almost surely, 221412434024 is an apocalyptic number.

21412434024 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

21412434024 is an abundant number, since it is smaller than the sum of its proper divisors (38086133976).

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

21412434024 is a wasteful number, since it uses less digits than its factorization.

21412434024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32655 (or 32645 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 21412434024 its reverse (42043421412), we get a palindrome (63455855436).

The spelling of 21412434024 in words is "twenty-one billion, four hundred twelve million, four hundred thirty-four thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 3389 6778 10167 13556 20334 27112 29251 30501 40668 58502 61002 81336 87753 91503 117004 122004 175506 183006 234008 244008 263259 351012 366012 526518 702024 732024 789777 1053036 1579554 2106072 3159108 6318216 99131639 198263278 297394917 396526556 594789834 793053112 892184751 1189579668 1784369502 2379159336 2676554253 3568739004 5353108506 7137478008 10706217012 21412434024