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10441412223030 = 23253110891343627
BaseRepresentation
bin1001011111110001010010…
…1010101010000000110110
31100222012002222012112010100
42113330110222222000312
52332033003012114110
634112415112534530
72125236633340365
oct227742452520066
940865088175110
1010441412223030
1133661a5aa1528
1212077479b1446
135a980c2b7239
1428151d2737dc
151319122cebc0
hex97f14aaa036

10441412223030 has 96 divisors (see below), whose sum is σ = 28026057765888. Its totient is φ = 2694302740800.

The previous prime is 10441412222993. The next prime is 10441412223071. The reversal of 10441412223030 is 3032221414401.

10441412223030 is a `hidden beast` number, since 1 + 0 + 4 + 414 + 12 + 2 + 230 + 3 + 0 = 666.

It is a super-2 number, since 2×104414122230302 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10441412222985 and 10441412223003.

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, 30214077 + ... + 30557703.

It is an arithmetic number, because the mean of its divisors is an integer number (291938101728).

Almost surely, 210441412223030 is an apocalyptic number.

10441412223030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10441412223030 is an abundant number, since it is smaller than the sum of its proper divisors (17584645542858).

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

10441412223030 is a wasteful number, since it uses less digits than its factorization.

10441412223030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354562 (or 354559 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 10441412223030 its reverse (3032221414401), we get a palindrome (13473633637431).

The spelling of 10441412223030 in words is "ten trillion, four hundred forty-one billion, four hundred twelve million, two hundred twenty-three thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 31 45 62 90 93 155 186 279 310 465 558 930 1395 2790 10891 21782 32673 54455 65346 98019 108910 163365 196038 326730 337621 343627 490095 675242 687254 980190 1012863 1030881 1688105 1718135 2025726 2061762 3038589 3092643 3376210 3436270 5064315 5154405 6077178 6185286 10128630 10308810 10652437 15192945 15463215 21304874 30385890 30926430 31957311 53262185 63914622 95871933 106524370 159786555 191743866 319573110 479359665 958719330 3742441657 7484883314 11227324971 18712208285 22454649942 33681974913 37424416570 56136624855 67363949826 112273249710 116015691367 168409874565 232031382734 336819749130 348047074101 580078456835 696094148202 1044141222303 1160156913670 1740235370505 2088282444606 3480470741010 5220706111515 10441412223030