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380464141302 = 232717221314903
BaseRepresentation
bin1011000100101010110…
…11100001001111110110
31100101001012101220220200
411202111123201033312
522213142310010202
6450441030541330
736326153561520
oct5422533411766
91311035356820
10380464141302
111373990a8633
12618a0807846
1329b54171c3b
14145b37baa10
159d6b7b0e1c
hex58956e13f6

380464141302 has 144 divisors (see below), whose sum is σ = 1001453137152. Its totient is φ = 102240817920.

The previous prime is 380464141247. The next prime is 380464141313. The reversal of 380464141302 is 203141464083.

380464141302 is a `hidden beast` number, since 3 + 8 + 0 + 4 + 641 + 4 + 1 + 3 + 0 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 77595783 + ... + 77600685.

Almost surely, 2380464141302 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 380464141302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (500726568576).

380464141302 is an abundant number, since it is smaller than the sum of its proper divisors (620988995850).

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

380464141302 is a wasteful number, since it uses less digits than its factorization.

380464141302 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7083 (or 7063 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 380464141302 in words is "three hundred eighty billion, four hundred sixty-four million, one hundred forty-one thousand, three hundred two".

Divisors: 1 2 3 6 7 9 14 17 18 21 34 42 51 63 102 119 126 153 238 289 306 357 578 714 867 1071 1734 2023 2131 2142 2601 4046 4262 4903 5202 6069 6393 9806 12138 12786 14709 14917 18207 19179 29418 29834 34321 36227 36414 38358 44127 44751 68642 72454 83351 88254 89502 102963 108681 134253 166702 205926 217362 250053 253589 268506 308889 326043 500106 507178 583457 615859 617778 652086 750159 760767 1166914 1231718 1416967 1500318 1521534 1750371 1847577 2282301 2833934 3500742 3695154 4250901 4311013 4564602 5251113 5542731 8501802 8622026 9918769 10448293 10502226 11085462 12752703 12933039 19837538 20896586 25505406 25866078 29756307 31344879 38799117 59512614 62689758 73138051 77598234 89268921 94034637 146276102 177620981 178537842 188069274 219414153 355241962 438828306 532862943 658242459 1065725886 1243346867 1316484918 1598588829 2486693734 3019556677 3197177658 3730040601 6039113354 7460081202 9058670031 11190121803 18117340062 21136896739 22380243606 27176010093 42273793478 54352020186 63410690217 126821380434 190232070651 380464141302