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323420141024323 = 75916328371693441
BaseRepresentation
bin100100110001001100001111…
…0100111100111010001000011
31120102010122220201010210012121
41021202120132213213101003
5314342403422100234243
63103505054530105111
7125060222410531450
oct11142303647472103
91512118821123177
10323420141024323
1194062791076282
1230334ba6a1b197
1310b6050850a045
1459c1892a64827
15275cd77b581ed
hex126261e9e7443

323420141024323 has 32 divisors (see below), whose sum is σ = 378327406533120. Its totient is φ = 270751143075840.

The previous prime is 323420141024257. The next prime is 323420141024333.

323420141024323 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2k-323420141024323 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (323420141024333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 190137283 + ... + 191830723.

It is an arithmetic number, because the mean of its divisors is an integer number (11822731454160).

Almost surely, 2323420141024323 is an apocalyptic number.

323420141024323 is a deficient number, since it is larger than the sum of its proper divisors (54907265508797).

323420141024323 is a wasteful number, since it uses less digits than its factorization.

323420141024323 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1696507.

The product of its (nonzero) digits is 82944, while the sum is 34.

The spelling of 323420141024323 in words is "three hundred twenty-three trillion, four hundred twenty billion, one hundred forty-one million, twenty-four thousand, three hundred twenty-three".

Divisors: 1 7 59 163 413 1141 2837 9617 19859 67319 167383 462431 1171681 1693441 3237017 11854087 27283429 99913019 190984003 276030883 699391133 1932216181 4804292117 16285822097 33630044819 114000754679 283453234903 783099615071 1984172644321 5481697305497 46202877289189 323420141024323