Search a number
-
+
146154462300 = 2232527112109011
BaseRepresentation
bin1000100000011101111…
…1000001110001011100
3111222020202101221212100
42020013133001301130
54343311020243200
6151050433205100
713362562301040
oct2100737016134
9458222357770
10146154462300
1156a90424820
12243aaa00790
1310a2295ca72
147106b68020
153c061bad00
hex22077c1c5c

146154462300 has 216 divisors, whose sum is σ = 571154193792. Its totient is φ = 30369744000.

The previous prime is 146154462173. The next prime is 146154462329. The reversal of 146154462300 is 3264451641.

146154462300 is a `hidden beast` number, since 1 + 4 + 615 + 4 + 4 + 6 + 2 + 30 + 0 = 666.

It is a super-2 number, since 2×1461544623002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 985206 + ... + 1123805.

Almost surely, 2146154462300 is an apocalyptic number.

146154462300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

146154462300 is an abundant number, since it is smaller than the sum of its proper divisors (424999731492).

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

146154462300 is a wasteful number, since it uses less digits than its factorization.

146154462300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2109049 (or 2109039 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 146154462300 in words is "one hundred forty-six billion, one hundred fifty-four million, four hundred sixty-two thousand, three hundred".