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427330145420 = 225236115797001
BaseRepresentation
bin1100011011111101101…
…11001000110010001100
31111212000101001121101222
412031332313020302030
524000133004123140
6524151320022512
742605432206163
oct6157667106214
91455011047358
10427330145420
111552587aa142
126a9a0001a38
13313b2842c19
141697bbc43da
15b1b0e445b5
hex637edc8c8c

427330145420 has 96 divisors (see below), whose sum is σ = 957833444736. Its totient is φ = 159793920000.

The previous prime is 427330145419. The next prime is 427330145423. The reversal of 427330145420 is 24541033724.

It is a super-2 number, since 2×4273301454202 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (427330145423) 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, 4356920 + ... + 4453920.

It is an arithmetic number, because the mean of its divisors is an integer number (9977431716).

Almost surely, 2427330145420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 427330145420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478916722368).

427330145420 is an abundant number, since it is smaller than the sum of its proper divisors (530503299316).

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

427330145420 is a wasteful number, since it uses less digits than its factorization.

427330145420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97251 (or 97249 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 35.

The spelling of 427330145420 in words is "four hundred twenty-seven billion, three hundred thirty million, one hundred forty-five thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 23 46 61 92 115 122 157 230 244 305 314 460 610 628 785 1220 1403 1570 2806 3140 3611 5612 7015 7222 9577 14030 14444 18055 19154 28060 36110 38308 47885 72220 95770 97001 191540 194002 220271 388004 440542 485005 881084 970010 1101355 1940020 2202710 2231023 4405420 4462046 5917061 8924092 11155115 11834122 15229157 22310230 23668244 29585305 30458314 44620460 59170610 60916628 76145785 118341220 136092403 152291570 272184806 304583140 350270611 544369612 680462015 700541222 928978577 1360924030 1401082444 1751353055 1857957154 2721848060 3502706110 3715914308 4644892885 7005412220 9289785770 18579571540 21366507271 42733014542 85466029084 106832536355 213665072710 427330145420