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34503045244240 = 2451761214144729
BaseRepresentation
bin1111101100001010111011…
…10000010110010101010000
311112011110101112202121102111
413312011131300112111100
514010244214040303430
6201214251414355104
710160522424414046
oct766053560262520
9145143345677374
1034503045244240
11aaa27286031a1
123a52b0805ba94
13163381424b801
14873d56132396
153ec783de6c2a
hex1f615dc16550

34503045244240 has 80 divisors (see below), whose sum is σ = 84952276076880. Its totient is φ = 12987256504320.

The previous prime is 34503045244231. The next prime is 34503045244307. The reversal of 34503045244240 is 4244254030543.

It can be written as a sum of positive squares in 8 ways, for example, as 276520325904 + 34226524918336 = 525852^2 + 5850344^2 .

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

It is a super-4 number, since 4×345030452442404 (a number of 55 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 34503045244193 and 34503045244202.

It is a congruent number.

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, 6252196 + ... + 10396924.

It is an arithmetic number, because the mean of its divisors is an integer number (1061903450961).

Almost surely, 234503045244240 is an apocalyptic number.

It is an amenable number.

34503045244240 is an abundant number, since it is smaller than the sum of its proper divisors (50449230832640).

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

34503045244240 is a wasteful number, since it uses less digits than its factorization.

34503045244240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4150880 (or 4150874 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 40.

Adding to 34503045244240 its reverse (4244254030543), we get a palindrome (38747299274783).

The spelling of 34503045244240 in words is "thirty-four trillion, five hundred three billion, forty-five million, two hundred forty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 680 1360 6121 12242 24484 30605 48968 61210 97936 104057 122420 208114 244840 416228 489680 520285 832456 1040570 1664912 2081140 4144729 4162280 8289458 8324560 16578916 20723645 33157832 41447290 66315664 70460393 82894580 140920786 165789160 281841572 331578320 352301965 563683144 704603930 1127366288 1409207860 2818415720 5636831440 25369886209 50739772418 101479544836 126849431045 202959089672 253698862090 405918179344 431288065553 507397724180 862576131106 1014795448360 1725152262212 2029590896720 2156440327765 3450304524424 4312880655530 6900609048848 8625761311060 17251522622120 34503045244240