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1042334034040 = 2351389109206627
BaseRepresentation
bin11110010101011111111…
…00110010100001111000
310200122110001101011202201
433022233330302201320
5114034200003042130
62114501443435544
7135210003050545
oct17125774624170
93618401334681
101042334034040
11372062430292
1214a017685bb4
13773a3a7b420
14386409c1bcc
151c1a80e3bca
hexf2aff32878

1042334034040 has 128 divisors (see below), whose sum is σ = 2577477672000. Its totient is φ = 377044512768.

The previous prime is 1042334034017. The next prime is 1042334034059. The reversal of 1042334034040 is 404304332401.

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, 4941207 + ... + 5147833.

Almost surely, 21042334034040 is an apocalyptic number.

1042334034040 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 1042334034040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1288738836000).

1042334034040 is an abundant number, since it is smaller than the sum of its proper divisors (1535143637960).

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

1042334034040 is a wasteful number, since it uses less digits than its factorization.

1042334034040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206849 (or 206845 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 1042334034040 its reverse (404304332401), we get a palindrome (1446638366441).

The spelling of 1042334034040 in words is "one trillion, forty-two billion, three hundred thirty-four million, thirty-four thousand, forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 89 104 109 130 178 218 260 356 436 445 520 545 712 872 890 1090 1157 1417 1780 2180 2314 2834 3560 4360 4628 5668 5785 7085 9256 9701 11336 11570 14170 19402 23140 28340 38804 46280 48505 56680 77608 97010 126113 194020 206627 252226 388040 413254 504452 630565 826508 1008904 1033135 1261130 1653016 2066270 2522260 2686151 4132540 5044520 5372302 8265080 10744604 13430755 18389803 21489208 22522343 26861510 36779606 45044686 53723020 73559212 90089372 91949015 107446040 112611715 147118424 180178744 183898030 225223430 239067439 292790459 367796060 450446860 478134878 585580918 735592120 900893720 956269756 1171161836 1195337195 1463952295 1912539512 2004488527 2342323672 2390674390 2927904590 4008977054 4781348780 5855809180 8017954108 9562697560 10022442635 11711618360 16035908216 20044885270 26058350851 40089770540 52116701702 80179541080 104233403404 130291754255 208466806808 260583508510 521167017020 1042334034040