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431645232228 = 223726131737963
BaseRepresentation
bin1100100100000000000…
…11111000110001100100
31112021011002122201200220
412102000003320301210
524033002134412403
6530143423204340
743120366636200
oct6220003706144
91467132581626
10431645232228
11157072531791
126b7a51466b0
133191c815422
1416c6ad17b00
15b364ba8953
hex64800f8c64

431645232228 has 144 divisors (see below), whose sum is σ = 1194603165504. Its totient is φ = 120919599360.

The previous prime is 431645232203. The next prime is 431645232229. The reversal of 431645232228 is 822232546134.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 431645232228.

It is not an unprimeable number, because it can be changed into a prime (431645232229) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11351175 + ... + 11389137.

It is an arithmetic number, because the mean of its divisors is an integer number (8295855316).

Almost surely, 2431645232228 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 431645232228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (597301582752).

431645232228 is an abundant number, since it is smaller than the sum of its proper divisors (762957933276).

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

431645232228 is a wasteful number, since it uses less digits than its factorization.

431645232228 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38362 (or 38353 counting only the distinct ones).

The product of its digits is 552960, while the sum is 42.

The spelling of 431645232228 in words is "four hundred thirty-one billion, six hundred forty-five million, two hundred thirty-two thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 61 84 98 122 147 183 196 244 294 317 366 427 588 634 732 854 951 1268 1281 1708 1902 2219 2562 2989 3804 4438 5124 5978 6657 8876 8967 11956 13314 15533 17934 19337 26628 31066 35868 37963 38674 46599 58011 62132 75926 77348 93198 113889 116022 135359 151852 186396 227778 232044 265741 270718 406077 455556 531482 541436 797223 812154 947513 1062964 1594446 1624308 1860187 1895026 2315743 2842539 3188892 3720374 3790052 4631486 5580561 5685078 6947229 7440748 9262972 11161122 11370156 12034271 13894458 16210201 22322244 24068542 27788916 32420402 36102813 48137084 48630603 64840804 72205626 84239897 97261206 113471407 144411252 168479794 194522412 226942814 252719691 336959588 340414221 453885628 505439382 589679279 680828442 734090531 1010878764 1179358558 1361656884 1468181062 1769037837 2202271593 2358717116 2936362124 3538075674 4404543186 5138633717 7076151348 8809086372 10277267434 15415901151 20554534868 30831802302 35970436019 61663604604 71940872038 107911308057 143881744076 215822616114 431645232228