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146326340552224 = 2574705713881943
BaseRepresentation
bin100001010001010101000001…
…100011001100011000100000
3201012002122212021002210222211
4201101111001203030120200
5123134402321140132344
61235113220504411504
742551505061522540
oct4121250143143040
9635078767083884
10146326340552224
114269571a581718
12144b3037476b94
13638568ca6b571
14281c338641320
1511db43d356334
hex8515418cc620

146326340552224 has 48 divisors (see below), whose sum is σ = 329241286459008. Its totient is φ = 62709951624192.

The previous prime is 146326340552201. The next prime is 146326340552257. The reversal of 146326340552224 is 422255043623641.

It is a super-2 number, since 2×1463263405522242 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3599797 + ... + 17481739.

It is an arithmetic number, because the mean of its divisors is an integer number (6859193467896).

Almost surely, 2146326340552224 is an apocalyptic number.

146326340552224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

146326340552224 is an abundant number, since it is smaller than the sum of its proper divisors (182914945906784).

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

146326340552224 is a wasteful number, since it uses less digits than its factorization.

146326340552224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13929017 (or 13929009 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 49.

The spelling of 146326340552224 in words is "one hundred forty-six trillion, three hundred twenty-six billion, three hundred forty million, five hundred fifty-two thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 47057 94114 188228 329399 376456 658798 752912 1317596 1505824 2635192 5270384 10540768 13881943 27763886 55527772 97173601 111055544 194347202 222111088 388694404 444222176 777388808 1554777616 3109555232 653242591751 1306485183502 2612970367004 4572698142257 5225940734008 9145396284514 10451881468016 18290792569028 20903762936032 36581585138056 73163170276112 146326340552224