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141790446 = 23372347347
BaseRepresentation
bin10000111001110…
…00110011101110
3100212210200221000
420130320303232
5242244243241
622023021130
73341125140
oct1034706356
9325720830
10141790446
1173045296
123b59a7a6
13234b6295
1414b8cc90
15c6abeb6
hex8738cee

141790446 has 128 divisors (see below), whose sum is σ = 384860160. Its totient is φ = 37816416.

The previous prime is 141790433. The next prime is 141790459. The reversal of 141790446 is 644097141.

141790446 is a `hidden beast` number, since 141 + 79 + 0 + 446 = 666.

It is an interprime number because it is at equal distance from previous prime (141790433) and next prime (141790459).

It is a self number, because there is not a number n which added to its sum of digits gives 141790446.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 408445 + ... + 408791.

It is an arithmetic number, because the mean of its divisors is an integer number (3006720).

Almost surely, 2141790446 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141790446, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192430080).

141790446 is an abundant number, since it is smaller than the sum of its proper divisors (243069714).

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

141790446 is a wasteful number, since it uses less digits than its factorization.

141790446 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 141790446 is about 11907.5793509848. The cubic root of 141790446 is about 521.4535833305.

The spelling of 141790446 in words is "one hundred forty-one million, seven hundred ninety thousand, four hundred forty-six".

Divisors: 1 2 3 6 7 9 14 18 21 23 27 42 46 47 54 63 69 94 126 138 141 161 189 207 282 322 329 347 378 414 423 483 621 658 694 846 966 987 1041 1081 1242 1269 1449 1974 2082 2162 2429 2538 2898 2961 3123 3243 4347 4858 5922 6246 6486 7287 7567 7981 8694 8883 9369 9729 14574 15134 15962 16309 17766 18738 19458 21861 22701 23943 29187 32618 43722 45402 47886 48927 55867 58374 65583 68103 71829 97854 111734 114163 131166 136206 143658 146781 167601 204309 215487 228326 293562 335202 342489 375107 408618 430974 440343 502803 684978 750214 880686 1005606 1027467 1125321 1508409 2054934 2250642 2625749 3016818 3082401 3375963 5251498 6164802 6751926 7877247 10127889 15754494 20255778 23631741 47263482 70895223 141790446