Search a number
-
+
146666780140 = 22541672669581
BaseRepresentation
bin1000100010011000000…
…1010111010111101100
3112000120110102101211011
42020212001113113230
54400333143431030
6151213334035004
713411353030046
oct2104601272754
9460513371734
10146666780140
11572236347a1
12245124a8a64
1310aa4b3870a
147154c08a96
153c36168b2a
hex22260575ec

146666780140 has 48 divisors (see below), whose sum is σ = 320221700064. Its totient is φ = 56381529600.

The previous prime is 146666780137. The next prime is 146666780189. The reversal of 146666780140 is 41087666641.

It is a happy number.

It is a super-2 number, since 2×1466667801402 (a number of 23 digits) contains 22 as substring.

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, 1279851 + ... + 1389730.

It is an arithmetic number, because the mean of its divisors is an integer number (6671285418).

Almost surely, 2146666780140 is an apocalyptic number.

146666780140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

146666780140 is an abundant number, since it is smaller than the sum of its proper divisors (173554919924).

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

146666780140 is a wasteful number, since it uses less digits than its factorization.

146666780140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2669698 (or 2669696 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 49.

The spelling of 146666780140 in words is "one hundred forty-six billion, six hundred sixty-six million, seven hundred eighty thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 41 67 82 134 164 205 268 335 410 670 820 1340 2747 5494 10988 13735 27470 54940 2669581 5339162 10678324 13347905 26695810 53391620 109452821 178861927 218905642 357723854 437811284 547264105 715447708 894309635 1094528210 1788619270 2189056420 3577238540 7333339007 14666678014 29333356028 36666695035 73333390070 146666780140