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4020281343 = 34132231132
BaseRepresentation
bin1110111110100000…
…1001111111111111
3101101011212110020000
43233220021333333
531213143000333
61502532325343
7201424553601
oct35750117777
911334773200
104020281343
111783386971
12942473853
134c0ba2c00
142a1d13171
15187e2e713
hexefa09fff

4020281343 has 90 divisors (see below), whose sum is σ = 6846438456. Its totient is φ = 2345511168.

The previous prime is 4020281341. The next prime is 4020281359. The reversal of 4020281343 is 3431820204.

4020281343 is a `hidden beast` number, since 40 + 2 + 0 + 281 + 343 = 666.

It is not a de Polignac number, because 4020281343 - 21 = 4020281341 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4020281341) 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 89 ways as a sum of consecutive naturals, for example, 35577655 + ... + 35577767.

Almost surely, 24020281343 is an apocalyptic number.

4020281343 is a deficient number, since it is larger than the sum of its proper divisors (2826157113).

4020281343 is a wasteful number, since it uses less digits than its factorization.

4020281343 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 4020281343 is about 63405.6885697175. The cubic root of 4020281343 is about 1590.0794157557.

The spelling of 4020281343 in words is "four billion, twenty million, two hundred eighty-one thousand, three hundred forty-three".

Divisors: 1 3 9 13 23 27 39 69 81 113 117 169 207 299 339 351 507 621 897 1017 1053 1469 1521 1863 2599 2691 3051 3887 4407 4563 7797 8073 9153 11661 12769 13221 13689 19097 23391 24219 33787 34983 38307 39663 57291 70173 101361 104949 114921 118989 165997 171873 210519 293687 304083 314847 344763 439231 497991 515619 881061 912249 1034289 1317693 1493973 1546857 2157961 2643183 2736747 3817931 3953079 4481919 6473883 7929549 11453793 11859237 13445757 19421649 23788647 34361379 35577711 49633103 58264947 103084137 148899309 174794841 309252411 446697927 1340093781 4020281343