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1042023051104 = 257231491357423
BaseRepresentation
bin11110010100111010110…
…10011110111101100000
310200121122101012121101012
433022131122132331200
5114033030400113404
62114410534200052
7135166205536010
oct17123532367540
93617571177335
101042023051104
11371a129351a2
12149b4b4b3028
1377354506559
143861158dc40
151c18ab65a6e
hexf29d69ef60

1042023051104 has 96 divisors (see below), whose sum is σ = 2462910105600. Its totient is φ = 424297539072.

The previous prime is 1042023051103. The next prime is 1042023051109. The reversal of 1042023051104 is 4011503202401.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a self number, because there is not a number n which added to its sum of digits gives 1042023051104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1042023051103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 88937 + ... + 1446359.

It is an arithmetic number, because the mean of its divisors is an integer number (25655313600).

Almost surely, 21042023051104 is an apocalyptic number.

1042023051104 is a gapful number since it is divisible by the number (14) 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 1042023051104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1231455052800).

1042023051104 is an abundant number, since it is smaller than the sum of its proper divisors (1420887054496).

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

1042023051104 is a wasteful number, since it uses less digits than its factorization.

1042023051104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1357612 (or 1357604 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

Adding to 1042023051104 its reverse (4011503202401), we get a palindrome (5053526253505).

The spelling of 1042023051104 in words is "one trillion, forty-two billion, twenty-three million, fifty-one thousand, one hundred four".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 56 92 112 149 161 184 224 298 322 368 596 644 736 1043 1192 1288 2086 2384 2576 3427 4172 4768 5152 6854 8344 13708 16688 23989 27416 33376 47978 54832 95956 109664 191912 383824 767648 1357423 2714846 5429692 9501961 10859384 19003922 21718768 31220729 38007844 43437536 62441458 76015688 124882916 152031376 202256027 218545103 249765832 304062752 404512054 437090206 499531664 809024108 874180412 999063328 1415792189 1618048216 1748360824 2831584378 3236096432 3496721648 4651888621 5663168756 6472192864 6993443296 9303777242 11326337512 18607554484 22652675024 32563220347 37215108968 45305350048 65126440694 74430217936 130252881388 148860435872 260505762776 521011525552 1042023051104