Search a number
-
+
146711841430 = 257111031849853
BaseRepresentation
bin1000100010100010110…
…1010000101010010110
3112000200121012202021211
42020220231100222112
54400431212411210
6151222023532034
713412441035060
oct2105055205226
9460617182254
10146711841430
1157247011a30
12245255ba01a
1310ab1284bbb
14715abb8730
153c3a0ba38a
hex2228b50a96

146711841430 has 64 divisors (see below), whose sum is σ = 332440962048. Its totient is φ = 45284376960.

The previous prime is 146711841421. The next prime is 146711841439. The reversal of 146711841430 is 34148117641.

146711841430 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (146711841421) and next prime (146711841439).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146711841439) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 845617 + ... + 1004236.

It is an arithmetic number, because the mean of its divisors is an integer number (5194390032).

Almost surely, 2146711841430 is an apocalyptic number.

146711841430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

146711841430 is an abundant number, since it is smaller than the sum of its proper divisors (185729120618).

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

146711841430 is a wasteful number, since it uses less digits than its factorization.

146711841430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1849981.

The product of its (nonzero) digits is 64512, while the sum is 40.

The spelling of 146711841430 in words is "one hundred forty-six billion, seven hundred eleven million, eight hundred forty-one thousand, four hundred thirty".

Divisors: 1 2 5 7 10 11 14 22 35 55 70 77 103 110 154 206 385 515 721 770 1030 1133 1442 2266 3605 5665 7210 7931 11330 15862 39655 79310 1849853 3699706 9249265 12948971 18498530 20348383 25897942 40696766 64744855 101741915 129489710 142438681 190534859 203483830 284877362 381069718 712193405 952674295 1333744013 1424386810 1905348590 2095883449 2667488026 4191766898 6668720065 10479417245 13337440130 14671184143 20958834490 29342368286 73355920715 146711841430