Search a number
-
+
21423420432 = 24364739079
BaseRepresentation
bin10011111100111011…
…110111010000010000
32001022000221112000000
4103330323313100100
5322333343423212
613501454130000
71355615032461
oct237473672020
961260845000
1021423420432
1190a3a64947
12419a7b0900
13203556664b
141073372d68
15855bda1dc
hex4fcef7410

21423420432 has 140 divisors (see below), whose sum is σ = 63559086720. Its totient is φ = 6989022144.

The previous prime is 21423420413. The next prime is 21423420437. The reversal of 21423420432 is 23402432412.

21423420432 is a `hidden beast` number, since 2 + 1 + 423 + 4 + 204 + 32 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 21423420396 and 21423420405.

It is not an unprimeable number, because it can be changed into a prime (21423420437) by changing a digit.

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 27 ways as a sum of consecutive naturals, for example, 528669 + ... + 567747.

Almost surely, 221423420432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21423420432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31779543360).

21423420432 is an abundant number, since it is smaller than the sum of its proper divisors (42135666288).

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

21423420432 is an equidigital number, since it uses as much as digits as its factorization.

21423420432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39152 (or 39131 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 21423420432 its reverse (23402432412), we get a palindrome (44825852844).

The spelling of 21423420432 in words is "twenty-one billion, four hundred twenty-three million, four hundred twenty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 47 48 54 72 81 94 108 141 144 162 188 216 243 282 324 376 423 432 486 564 648 729 752 846 972 1128 1269 1296 1458 1692 1944 2256 2538 2916 3384 3807 3888 5076 5832 6768 7614 10152 11421 11664 15228 20304 22842 30456 34263 39079 45684 60912 68526 78158 91368 117237 137052 156316 182736 234474 274104 312632 351711 468948 548208 625264 703422 937896 1055133 1406844 1836713 1875792 2110266 2813688 3165399 3673426 4220532 5510139 5627376 6330798 7346852 8441064 9496197 11020278 12661596 14693704 16530417 16882128 18992394 22040556 25323192 28488591 29387408 33060834 37984788 44081112 49591251 50646384 56977182 66121668 75969576 88162224 99182502 113954364 132243336 148773753 151939152 198365004 227908728 264486672 297547506 396730008 446321259 455817456 595095012 793460016 892642518 1190190024 1338963777 1785285036 2380380048 2677927554 3570570072 5355855108 7141140144 10711710216 21423420432