Search a number
-
+
1423420200432 = 243297571178469
BaseRepresentation
bin10100101101101010011…
…101001001010111110000
312001002002121020020200200
4110231222131021113300
5141310131032403212
63005524334515200
7204560452033536
oct24555235112760
95032077206620
101423420200432
114a973a65a53a
121aba50665b00
13a42c6a5b039
144cc72c3a156
152705e2c36dc
hex14b6a7495f0

1423420200432 has 120 divisors (see below), whose sum is σ = 4031738670960. Its totient is φ = 468756910080.

The previous prime is 1423420200379. The next prime is 1423420200457. The reversal of 1423420200432 is 2340020243241.

1423420200432 is a `hidden beast` number, since 1 + 4 + 2 + 3 + 4 + 20 + 200 + 432 = 666.

It is a super-2 number, since 2×14234202004322 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1423420200396 and 1423420200405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7886494 + ... + 8064962.

It is an arithmetic number, because the mean of its divisors is an integer number (33597822258).

Almost surely, 21423420200432 is an apocalyptic number.

1423420200432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1423420200432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2015869335480).

1423420200432 is an abundant number, since it is smaller than the sum of its proper divisors (2608318470528).

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

1423420200432 is a wasteful number, since it uses less digits than its factorization.

1423420200432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179151 (or 179142 counting only the distinct ones).

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

Adding to 1423420200432 its reverse (2340020243241), we get a palindrome (3763440443673).

The spelling of 1423420200432 in words is "one trillion, four hundred twenty-three billion, four hundred twenty million, two hundred thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 97 144 194 291 388 571 582 776 873 1142 1164 1552 1713 1746 2284 2328 3426 3492 4568 4656 5139 6852 6984 9136 10278 13704 13968 20556 27408 41112 55387 82224 110774 166161 178469 221548 332322 356938 443096 498483 535407 664644 713876 886192 996966 1070814 1329288 1427752 1606221 1993932 2141628 2658576 2855504 3212442 3987864 4283256 6424884 7975728 8566512 12849768 17311493 25699536 34622986 51934479 69245972 101905799 103868958 138491944 155803437 203811598 207737916 276983888 305717397 311606874 407623196 415475832 611434794 623213748 815246392 830951664 917152191 1222869588 1246427496 1630492784 1834304382 2445739176 2492854992 3668608764 4891478352 7337217528 9884862503 14674435056 19769725006 29654587509 39539450012 59309175018 79078900024 88963762527 118618350036 158157800048 177927525054 237236700072 355855050108 474473400144 711710100216 1423420200432