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1023041230040 = 23523311211497
BaseRepresentation
bin11101110001100100000…
…00100101010011011000
310121210122111120012001102
432320302000211103120
5113230142023330130
62101551220010532
7133624625655554
oct16706200452330
93553574505042
101023041230040
11364962116075
12146332530a48
137561aa6237b
14377305c8864
151b9294bc645
hexee320254d8

1023041230040 has 96 divisors (see below), whose sum is σ = 2409880537440. Its totient is φ = 390131934720.

The previous prime is 1023041230027. The next prime is 1023041230067. The reversal of 1023041230040 is 400321403201.

It is a super-2 number, since 2×10230412300402 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1023041229994 and 1023041230021.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 88977572 + ... + 88989068.

It is an arithmetic number, because the mean of its divisors is an integer number (25102922265).

Almost surely, 21023041230040 is an apocalyptic number.

1023041230040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1023041230040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1204940268720).

1023041230040 is an abundant number, since it is smaller than the sum of its proper divisors (1386839307400).

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

1023041230040 is a wasteful number, since it uses less digits than its factorization.

1023041230040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12153 (or 11838 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 1023041230040 its reverse (400321403201), we get a palindrome (1423362633241).

The spelling of 1023041230040 in words is "one trillion, twenty-three billion, forty-one million, two hundred thirty thousand, forty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 115 184 230 311 460 622 920 1244 1555 2488 3110 6220 7153 11497 12440 14306 22994 28612 35765 45988 57224 57485 71530 91976 96721 114970 143060 193442 229940 264431 286120 386884 459880 483605 528862 773768 967210 1057724 1322155 1934420 2115448 2224583 2644310 3575567 3868840 4449166 5288620 7151134 8898332 10577240 11122915 14302268 17796664 17877835 22245830 28604536 35755670 44491660 71511340 82238041 88983320 143022680 164476082 328952164 411190205 657904328 822380410 1112001337 1644760820 2224002674 3289521640 4448005348 5560006685 8896010696 11120013370 22240026740 25576030751 44480053480 51152061502 102304123004 127880153755 204608246008 255760307510 511520615020 1023041230040