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146314443460 = 22583490317977
BaseRepresentation
bin1000100001000100000…
…1010011101011000100
3111222122220102211202111
42020101001103223010
54344122444142320
6151114350150404
713366544151313
oct2102101235304
9458586384674
10146314443460
1157062763a59
12244344b2404
1310a49b44a83
1471200d027a
153c1526ca5a
hex2211053ac4

146314443460 has 48 divisors (see below), whose sum is σ = 311042987136. Its totient is φ = 57805638912.

The previous prime is 146314443449. The next prime is 146314443461. The reversal of 146314443460 is 64344413641.

It is not an unprimeable number, because it can be changed into a prime (146314443461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8129992 + ... + 8147968.

It is an arithmetic number, because the mean of its divisors is an integer number (6480062232).

Almost surely, 2146314443460 is an apocalyptic number.

146314443460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

146314443460 is an abundant number, since it is smaller than the sum of its proper divisors (164728543676).

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

146314443460 is a wasteful number, since it uses less digits than its factorization.

146314443460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22972 (or 22970 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 40.

The spelling of 146314443460 in words is "one hundred forty-six billion, three hundred fourteen million, four hundred forty-three thousand, four hundred sixty".

Divisors: 1 2 4 5 10 20 83 166 332 415 830 1660 4903 9806 17977 19612 24515 35954 49030 71908 89885 98060 179770 359540 406949 813898 1492091 1627796 2034745 2984182 4069490 5968364 7460455 8138980 14920910 29841820 88141231 176282462 352564924 440706155 881412310 1762824620 7315722173 14631444346 29262888692 36578610865 73157221730 146314443460