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10305330045444 = 2233715190274099
BaseRepresentation
bin1001010111110110010110…
…0010010110001000000100
31100111011212011120122101000
42111331211202112020010
52322320303442423234
633530111523333300
72112351454042020
oct225754542261004
940434764518330
1010305330045444
113313514173355
1211a52aa221230
13599a33303375
14278ad00c7380
1512d0ea4ee899
hex95f65896204

10305330045444 has 96 divisors (see below), whose sum is σ = 30736525568000. Its totient is φ = 2924880775200.

The previous prime is 10305330045433. The next prime is 10305330045487. The reversal of 10305330045444 is 44454003350301.

10305330045444 is a `hidden beast` number, since 1 + 0 + 30 + 53 + 30 + 0 + 4 + 544 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 10305330045399 and 10305330045408.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45022894 + ... + 45251205.

Almost surely, 210305330045444 is an apocalyptic number.

10305330045444 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10305330045444 is an abundant number, since it is smaller than the sum of its proper divisors (20431195522556).

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

10305330045444 is a wasteful number, since it uses less digits than its factorization.

10305330045444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90274270 (or 90274262 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 36.

Adding to 10305330045444 its reverse (44454003350301), we get a palindrome (54759333395745).

The spelling of 10305330045444 in words is "ten trillion, three hundred five billion, three hundred thirty million, forty-five thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 151 189 252 302 378 453 604 756 906 1057 1359 1812 2114 2718 3171 4077 4228 5436 6342 8154 9513 12684 16308 19026 28539 38052 57078 114156 90274099 180548198 270822297 361096396 541644594 631918693 812466891 1083289188 1263837386 1624933782 1895756079 2437400673 2527674772 3249867564 3791512158 4874801346 5687268237 7583024316 9749602692 11374536474 13631388949 17061804711 22749072948 27262777898 34123609422 40894166847 54525555796 68247218844 81788333694 95419722643 122682500541 163576667388 190839445286 245365001082 286259167929 368047501623 381678890572 490730002164 572518335858 736095003246 858777503787 1145036671716 1472190006492 1717555007574 2576332511361 3435110015148 5152665022722 10305330045444