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3023505406446 = 2372331985710243
BaseRepresentation
bin101011111111110110111…
…101110011100111101110
3101201001012021211122100020
4223333312331303213232
5344014114341001241
610232551301543010
7431304165625620
oct53776675634756
911631167748306
103023505406446
11a66296a85518
12409b85a14a66
1318c166517c25
14a64a4986c10
15539ad0d8b66
hex2bff6f739ee

3023505406446 has 128 divisors (see below), whose sum is σ = 7445448032256. Its totient is φ = 799485603840.

The previous prime is 3023505406433. The next prime is 3023505406459. The reversal of 3023505406446 is 6446045053203.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3023505406433) and next prime (3023505406459).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 3023505406398 and 3023505406407.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 295172601 + ... + 295182843.

It is an arithmetic number, because the mean of its divisors is an integer number (58167562752).

Almost surely, 23023505406446 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3023505406446, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3722724016128).

3023505406446 is an abundant number, since it is smaller than the sum of its proper divisors (4421942625810).

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

3023505406446 is a wasteful number, since it uses less digits than its factorization.

3023505406446 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20166.

The product of its (nonzero) digits is 1036800, while the sum is 42.

The spelling of 3023505406446 in words is "three trillion, twenty-three billion, five hundred five million, four hundred six thousand, four hundred forty-six".

Divisors: 1 2 3 6 7 14 21 23 31 42 46 62 69 93 138 161 186 217 322 434 483 651 713 966 1302 1426 2139 4278 4991 9857 9982 10243 14973 19714 20486 29571 29946 30729 59142 61458 68999 71701 137998 143402 206997 215103 226711 235589 305567 317533 413994 430206 453422 471178 611134 635066 680133 706767 916701 952599 1360266 1413534 1586977 1649123 1833402 1905198 2138969 2222731 3173954 3298246 4277938 4445462 4760931 4947369 6416907 6668193 7028041 7303259 9521862 9894738 12833814 13336386 14056082 14606518 21084123 21909777 42168246 43819554 49196287 51122813 98392574 100965251 102245626 147588861 153368439 201930502 295177722 302895753 306736878 605791506 706756757 1413513514 2120270271 2322200773 3129922781 4240540542 4644401546 6259845562 6966602319 9389768343 13933204638 16255405411 18779536686 21909459467 32510810822 43818918934 48766216233 65728378401 71988223963 97532432466 131456756802 143976447926 215964671889 431929343778 503917567741 1007835135482 1511752703223 3023505406446