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146261420223090 = 235101913013677537
BaseRepresentation
bin100001010000011000100011…
…111111110010101001110010
3201011212110021212001101120020
4201100120203333302221302
5123132321342034114330
61235023322512424310
742544016225033124
oct4120304377625162
9634773255041506
10146261420223090
1142670135763547
12144a2539848096
13637c514b29123
14281913a509214
1511d98ddb88210
hex850623ff2a72

146261420223090 has 64 divisors (see below), whose sum is σ = 351642064717440. Its totient is φ = 38934809139200.

The previous prime is 146261420223089. The next prime is 146261420223101. The reversal of 146261420223090 is 90322024162641.

It is an unprimeable number.

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, 37932802 + ... + 41610338.

It is an arithmetic number, because the mean of its divisors is an integer number (5494407261210).

Almost surely, 2146261420223090 is an apocalyptic number.

146261420223090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

146261420223090 is an abundant number, since it is smaller than the sum of its proper divisors (205380644494350).

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

146261420223090 is a wasteful number, since it uses less digits than its factorization.

146261420223090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3679867.

The product of its (nonzero) digits is 248832, while the sum is 42.

The spelling of 146261420223090 in words is "one hundred forty-six trillion, two hundred sixty-one billion, four hundred twenty million, two hundred twenty-three thousand, ninety".

Divisors: 1 2 3 5 6 10 15 30 1019 1301 2038 2602 3057 3903 5095 6114 6505 7806 10190 13010 15285 19515 30570 39030 1325719 2651438 3677537 3977157 6628595 7355074 7954314 11032611 13257190 18387685 19885785 22065222 36775370 39771570 55163055 110326110 3747410203 4784475637 7494820406 9568951274 11242230609 14353426911 18737051015 22484461218 23922378185 28706853822 37474102030 47844756370 56211153045 71767134555 112422306090 143534269110 4875380674103 9750761348206 14626142022309 24376903370515 29252284044618 48753806741030 73130710111545 146261420223090