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32434403201040 = 2435373652522883
BaseRepresentation
bin1110101111111101110010…
…00101001101000000010000
311020211200212022210200010010
413113332321011031000100
513222401124204413130
6152552054212234520
76555210514234041
oct727767105150020
9136750768720103
1032434403201040
11a375398053395
12377a00800ba40
1315137219baa39
14801b951568c8
153b3a5eb460b0
hex1d7fb914d010

32434403201040 has 80 divisors (see below), whose sum is σ = 103264126976448. Its totient is φ = 8415412720128.

The previous prime is 32434403201009. The next prime is 32434403201069. The reversal of 32434403201040 is 4010230443423.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×324344032010402 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 32434403200989 and 32434403201007.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1826252562 + ... + 1826270321.

Almost surely, 232434403201040 is an apocalyptic number.

32434403201040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

32434403201040 is an abundant number, since it is smaller than the sum of its proper divisors (70829723775408).

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

32434403201040 is a wasteful number, since it uses less digits than its factorization.

32434403201040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3652522936 (or 3652522930 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 32434403201040 its reverse (4010230443423), we get a palindrome (36444633644463).

The spelling of 32434403201040 in words is "thirty-two trillion, four hundred thirty-four billion, four hundred three million, two hundred one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 37 40 48 60 74 80 111 120 148 185 222 240 296 370 444 555 592 740 888 1110 1480 1776 2220 2960 4440 8880 3652522883 7305045766 10957568649 14610091532 18262614415 21915137298 29220183064 36525228830 43830274596 54787843245 58440366128 73050457660 87660549192 109575686490 135143346671 146100915320 175321098384 219151372980 270286693342 292201830640 405430040013 438302745960 540573386684 675716733355 810860080026 876605491920 1081146773368 1351433466710 1621720160052 2027150200065 2162293546736 2702866933420 3243440320104 4054300400130 5405733866840 6486880640208 8108600800260 10811467733680 16217201600520 32434403201040