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1042131341040 = 243537671751599
BaseRepresentation
bin11110010101000111101…
…11100100111011110000
310200121220220222022020120
433022203313210323300
5114033241110403130
62114425403210240
7135201662146056
oct17124367447360
93617826868216
101042131341040
11371a68a79009
12149b7b816980
1377370a9043a
1438621adc1d6
151c195406910
hexf2a3de4ef0

1042131341040 has 160 divisors (see below), whose sum is σ = 3367443993600. Its totient is φ = 266354998272.

The previous prime is 1042131341033. The next prime is 1042131341051. The reversal of 1042131341040 is 401431312401.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1042131341040.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 280840 + ... + 1470759.

It is an arithmetic number, because the mean of its divisors is an integer number (21046524960).

Almost surely, 21042131341040 is an apocalyptic number.

1042131341040 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 1042131341040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1683721996800).

1042131341040 is an abundant number, since it is smaller than the sum of its proper divisors (2325312652560).

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

1042131341040 is a wasteful number, since it uses less digits than its factorization.

1042131341040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1751719 (or 1751713 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 1042131341040 its reverse (401431312401), we get a palindrome (1443562653441).

The spelling of 1042131341040 in words is "one trillion, forty-two billion, one hundred thirty-one million, three hundred forty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 37 40 48 60 67 74 80 111 120 134 148 185 201 222 240 268 296 335 370 402 444 536 555 592 670 740 804 888 1005 1072 1110 1340 1480 1608 1776 2010 2220 2479 2680 2960 3216 4020 4440 4958 5360 7437 8040 8880 9916 12395 14874 16080 19832 24790 29748 37185 39664 49580 59496 74370 99160 118992 148740 198320 297480 594960 1751599 3503198 5254797 7006396 8757995 10509594 14012792 17515990 21019188 26273985 28025584 35031980 42038376 52547970 64809163 70063960 84076752 105095940 117357133 129618326 140127920 194427489 210191880 234714266 259236652 324045815 352071399 388854978 420383760 469428532 518473304 586785665 648091630 704142798 777709956 938857064 972137445 1036946608 1173571330 1296183260 1408285596 1555419912 1760356995 1877714128 1944274890 2347142660 2592366520 2816571192 3110839824 3520713990 3888549780 4342213921 4694285320 5184733040 5633142384 7041427980 7777099560 8684427842 9388570640 13026641763 14082855960 15554199120 17368855684 21711069605 26053283526 28165711920 34737711368 43422139210 52106567052 65133208815 69475422736 86844278420 104213134104 130266417630 173688556840 208426268208 260532835260 347377113680 521065670520 1042131341040