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10344043402020 = 22325318322334593
BaseRepresentation
bin1001011010000110100100…
…0010000101001100100100
31100121212210011120220220100
42112201221002011030210
52323434100102331040
633555553221104100
72115222016121556
oct226415102051444
940555704526810
1010344043402020
11332897a917119
1211b08b3258030
135a0592946253
1427a92384d4d6
1512e114083b30
hex96869085324

10344043402020 has 144 divisors (see below), whose sum is σ = 32779322214912. Its totient is φ = 2637268623360.

The previous prime is 10344043402003. The next prime is 10344043402027. The reversal of 10344043402020 is 2020434044301.

It is a happy number.

10344043402020 is a `hidden beast` number, since 10 + 3 + 4 + 404 + 3 + 40 + 202 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (10344043402027) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10704157 + ... + 11630436.

It is an arithmetic number, because the mean of its divisors is an integer number (227634182048).

Almost surely, 210344043402020 is an apocalyptic number.

10344043402020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10344043402020 is an abundant number, since it is smaller than the sum of its proper divisors (22435278812892).

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

10344043402020 is a wasteful number, since it uses less digits than its factorization.

10344043402020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22334722 (or 22334717 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 10344043402020 its reverse (2020434044301), we get a palindrome (12364477446321).

The spelling of 10344043402020 in words is "ten trillion, three hundred forty-four billion, forty-three million, four hundred two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 31 36 45 60 62 83 90 93 124 155 166 180 186 249 279 310 332 372 415 465 498 558 620 747 830 930 996 1116 1245 1395 1494 1660 1860 2490 2573 2790 2988 3735 4980 5146 5580 7470 7719 10292 12865 14940 15438 23157 25730 30876 38595 46314 51460 77190 92628 115785 154380 231570 463140 22334593 44669186 67003779 89338372 111672965 134007558 201011337 223345930 268015116 335018895 402022674 446691860 670037790 692372383 804045348 1005056685 1340075580 1384744766 1853771219 2010113370 2077117149 2769489532 3461861915 3707542438 4020226740 4154234298 5561313657 6231351447 6923723830 7415084876 8308468596 9268856095 10385585745 11122627314 12462702894 13847447660 16683940971 18537712190 20771171490 22245254628 24925405788 27806568285 31156757235 33367881942 37075424380 41542342980 55613136570 57466907789 62313514470 66735763884 83419704855 111226273140 114933815578 124627028940 166839409710 172400723367 229867631156 287334538945 333678819420 344801446734 517202170101 574669077890 689602893468 862003616835 1034404340202 1149338155780 1724007233670 2068808680404 2586010850505 3448014467340 5172021701010 10344043402020