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4214430133504 = 28171815350217
BaseRepresentation
bin111101010100111111100…
…111000110110100000000
3112220220011212211010020121
4331110333213012310000
51023022123103233004
612544025451550024
7613324336033153
oct75247747066400
915826155733217
104214430133504
111385369a38738
1258095015b314
1324755a888a36
14107d9daa3c9a
15749611c9854
hex3d53f9c6d00

4214430133504 has 72 divisors (see below), whose sum is σ = 8956457539848. Its totient is φ = 1972303626240.

The previous prime is 4214430133489. The next prime is 4214430133531. The reversal of 4214430133504 is 4053310344124.

It can be written as a sum of positive squares in 4 ways, for example, as 259741083904 + 3954689049600 = 509648^2 + 1988640^2 .

It is a super-2 number, since 2×42144301335042 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a self number, because there is not a number n which added to its sum of digits gives 4214430133504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1887397 + ... + 3462820.

It is an arithmetic number, because the mean of its divisors is an integer number (124395243609).

Almost surely, 24214430133504 is an apocalyptic number.

It is an amenable number.

4214430133504 is an abundant number, since it is smaller than the sum of its proper divisors (4742027406344).

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

4214430133504 is a wasteful number, since it uses less digits than its factorization.

4214430133504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5350431 (or 5350417 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 34.

Adding to 4214430133504 its reverse (4053310344124), we get a palindrome (8267740477628).

The spelling of 4214430133504 in words is "four trillion, two hundred fourteen billion, four hundred thirty million, one hundred thirty-three thousand, five hundred four".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 181 256 272 362 544 724 1088 1448 2176 2896 3077 4352 5792 6154 11584 12308 23168 24616 46336 49232 98464 196928 393856 787712 5350217 10700434 21400868 42801736 85603472 90953689 171206944 181907378 342413888 363814756 684827776 727629512 968389277 1369655552 1455259024 1936778554 2910518048 3873557108 5821036096 7747114216 11642072192 15494228432 16462617709 23284144384 30988456864 32925235418 61976913728 65850470836 123953827456 131700941672 247907654912 263401883344 526803766688 1053607533376 2107215066752 4214430133504