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441923616190 = 257214955710867
BaseRepresentation
bin1100110111001001011…
…00110011110110111110
31120020200102020201211101
412123210230303312332
524220024421204230
6535003352443314
743633164521200
oct6334454636676
91506612221741
10441923616190
111604673a6791
12717933a953a
133289a0a2824
1417564024770
15b767205aca
hex66e4b33dbe

441923616190 has 96 divisors (see below), whose sum is σ = 933302541600. Its totient is φ = 150215756544.

The previous prime is 441923616181. The next prime is 441923616209. The reversal of 441923616190 is 91616329144.

It is a super-2 number, since 2×4419236161902 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 441923616190.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40661137 + ... + 40672003.

It is an arithmetic number, because the mean of its divisors is an integer number (9721901475).

Almost surely, 2441923616190 is an apocalyptic number.

441923616190 is an abundant number, since it is smaller than the sum of its proper divisors (491378925410).

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

441923616190 is a wasteful number, since it uses less digits than its factorization.

441923616190 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11594 (or 11587 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 46.

The spelling of 441923616190 in words is "four hundred forty-one billion, nine hundred twenty-three million, six hundred sixteen thousand, one hundred ninety".

Divisors: 1 2 5 7 10 14 35 49 70 98 149 245 298 490 557 745 1043 1114 1490 2086 2785 3899 5215 5570 7301 7798 10430 10867 14602 19495 21734 27293 36505 38990 54335 54586 73010 76069 82993 108670 136465 152138 165986 272930 380345 414965 532483 580951 760690 829930 1064966 1161902 1619183 2662415 2904755 3238366 4066657 5324830 5809510 6052919 8095915 8133314 11334281 12105838 16191830 20333285 22668562 30264595 40666570 42370433 56671405 60529190 79339967 84740866 113342810 158679934 211852165 296593031 396699835 423704330 593186062 793399670 901884931 1482965155 1803769862 2965930310 4509424655 6313194517 9018849310 12626389034 31565972585 44192361619 63131945170 88384723238 220961808095 441923616190