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1042022423200 = 255211137386243
BaseRepresentation
bin11110010100111010110…
…00000101101010100000
310200121122100000201001111
433022131120011222200
5114033030220020300
62114410512513104
7135166200312253
oct17123530055240
93617570021044
101042022423200
11371a12546470
12149b4b24b794
1377354346805
143861146909a
151c18aa8e9ba
hexf29d605aa0

1042022423200 has 144 divisors (see below), whose sum is σ = 2777148563616. Its totient is φ = 378636876800.

The previous prime is 1042022423179. The next prime is 1042022423201. The reversal of 1042022423200 is 23242202401.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (1042022423201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12039279 + ... + 12125521.

It is an arithmetic number, because the mean of its divisors is an integer number (19285753914).

Almost surely, 21042022423200 is an apocalyptic number.

1042022423200 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 1042022423200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1388574281808).

1042022423200 is an abundant number, since it is smaller than the sum of its proper divisors (1735126140416).

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

1042022423200 is a wasteful number, since it uses less digits than its factorization.

1042022423200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87647 (or 87634 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 1042022423200 its reverse (23242202401), we get a palindrome (1065264625601).

The spelling of 1042022423200 in words is "one trillion, forty-two billion, twenty-two million, four hundred twenty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 100 110 160 176 200 220 275 352 400 440 550 800 880 1100 1373 1760 2200 2746 4400 5492 6865 8800 10984 13730 15103 21968 27460 30206 34325 43936 54920 60412 68650 75515 86243 109840 120824 137300 151030 172486 219680 241648 274600 302060 344972 377575 431215 483296 549200 604120 689944 755150 862430 948673 1098400 1208240 1379888 1510300 1724860 1897346 2156075 2416480 2759776 3020600 3449720 3794692 4312150 4743365 6041200 6899440 7589384 8624300 9486730 12082400 13798880 15178768 17248600 18973460 23716825 30357536 34497200 37946920 47433650 68994400 75893840 94867300 118411639 151787680 189734600 236823278 379469200 473646556 592058195 758938400 947293112 1184116390 1302528029 1894586224 2368232780 2605056058 2960290975 3789172448 4736465560 5210112116 5920581950 6512640145 9472931120 10420224232 11841163900 13025280290 18945862240 20840448464 23682327800 26050560580 32563200725 41680896928 47364655600 52101121160 65126401450 94729311200 104202242320 130252802900 208404484640 260505605800 521011211600 1042022423200