Search a number
-
+
146430550430 = 251710111637333
BaseRepresentation
bin1000100001011111110…
…0001110000110011110
3111222221222220200120122
42020113330032012132
54344342210103210
6151134054514542
713402454066513
oct2102774160636
9458858820518
10146430550430
115711225692a
1224467365a52
1310a67c07a18
1471316b530a
153c20554b55
hex2217f0e19e

146430550430 has 64 divisors (see below), whose sum is σ = 282123373248. Its totient is φ = 54526617600.

The previous prime is 146430550421. The next prime is 146430550471. The reversal of 146430550430 is 34055034641.

146430550430 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 19965044 + ... + 19972376.

It is an arithmetic number, because the mean of its divisors is an integer number (4408177707).

Almost surely, 2146430550430 is an apocalyptic number.

146430550430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

146430550430 is a deficient number, since it is larger than the sum of its proper divisors (135692822818).

146430550430 is a wasteful number, since it uses less digits than its factorization.

146430550430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8621.

The product of its (nonzero) digits is 86400, while the sum is 35.

The spelling of 146430550430 in words is "one hundred forty-six billion, four hundred thirty million, five hundred fifty thousand, four hundred thirty".

Divisors: 1 2 5 10 17 34 85 101 170 202 505 1010 1163 1717 2326 3434 5815 7333 8585 11630 14666 17170 19771 36665 39542 73330 98855 117463 124661 197710 234926 249322 587315 623305 740633 1174630 1246610 1481266 1996871 3703165 3993742 7406330 8528279 9984355 12590761 17056558 19968710 25181522 42641395 62953805 85282790 125907610 144980743 289961486 724903715 861356179 1449807430 1722712358 4306780895 8613561790 14643055043 29286110086 73215275215 146430550430