Search a number
-
+
446243094390 = 235291998772939
BaseRepresentation
bin1100111111001100010…
…10010011111101110110
31120122211110002221222110
412133212022103331312
524302401213010030
6541000134111450
744145214501122
oct6374612237566
91518743087873
10446243094390
11162283658685
1272599aab586
1333107c51aa2
141785397c582
15b91b5361b0
hex67e6293f76

446243094390 has 128 divisors (see below), whose sum is σ = 1115130240000. Its totient is φ = 114148210176.

The previous prime is 446243094317. The next prime is 446243094397. The reversal of 446243094390 is 93490342644.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (446243094397) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 151833541 + ... + 151836479.

It is an arithmetic number, because the mean of its divisors is an integer number (8711955000).

Almost surely, 2446243094390 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 446243094390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (557565120000).

446243094390 is an abundant number, since it is smaller than the sum of its proper divisors (668887145610).

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

446243094390 is a wasteful number, since it uses less digits than its factorization.

446243094390 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4054.

The product of its (nonzero) digits is 2239488, while the sum is 48.

The spelling of 446243094390 in words is "four hundred forty-six billion, two hundred forty-three million, ninety-four thousand, three hundred ninety".

Divisors: 1 2 3 5 6 10 15 29 30 58 87 145 174 199 290 398 435 597 870 877 995 1194 1754 1990 2631 2939 2985 4385 5262 5771 5878 5970 8770 8817 11542 13155 14695 17313 17634 25433 26310 28855 29390 34626 44085 50866 57710 76299 85231 86565 88170 127165 152598 170462 173130 174523 254330 255693 349046 381495 426155 511386 523569 584861 762990 852310 872615 1047138 1169722 1278465 1745230 1754583 2556930 2577503 2617845 2924305 3509166 5061167 5155006 5235690 5848610 7732509 8772915 10122334 12887515 15183501 15465018 16960969 17545830 25305835 25775030 30367002 33921938 38662545 50611670 50882907 74747587 75917505 77325090 84804845 101765814 149495174 151835010 169609690 224242761 254414535 373737935 448485522 508829070 512923097 747475870 1025846194 1121213805 1538769291 2242427610 2564615485 3077538582 5129230970 7693846455 14874769813 15387692910 29749539626 44624309439 74373849065 89248618878 148747698130 223121547195 446243094390