Search a number
-
+
5210446434440 = 2351331893631783
BaseRepresentation
bin100101111010010011011…
…0011110001000010001000
3200110010001222012122221212
41023310212303301002020
51140331443241400230
615025351313552252
71045304501640212
oct113644663610210
920403058178855
105210446434440
1117298131a3555
1270199bb75688
132ba45c71c6a0
14140288ddb5b2
1590807d3a895
hex4bd26cf1088

5210446434440 has 128 divisors (see below), whose sum is σ = 13179017779200. Its totient is φ = 1840877660160.

The previous prime is 5210446434367. The next prime is 5210446434451. The reversal of 5210446434440 is 444346440125.

It is a super-2 number, since 2×52104464344402 (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 381212 + ... + 3250571.

It is an arithmetic number, because the mean of its divisors is an integer number (102961076400).

Almost surely, 25210446434440 is an apocalyptic number.

It is an amenable number.

5210446434440 is an abundant number, since it is smaller than the sum of its proper divisors (7968571344760).

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

5210446434440 is a wasteful number, since it uses less digits than its factorization.

5210446434440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3631927 (or 3631923 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 41.

The spelling of 5210446434440 in words is "five trillion, two hundred ten billion, four hundred forty-six million, four hundred thirty-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 31 40 52 62 65 89 104 124 130 155 178 248 260 310 356 403 445 520 620 712 806 890 1157 1240 1612 1780 2015 2314 2759 3224 3560 4030 4628 5518 5785 8060 9256 11036 11570 13795 16120 22072 23140 27590 35867 46280 55180 71734 110360 143468 179335 286936 358670 717340 1434680 3631783 7263566 14527132 18158915 29054264 36317830 47213179 72635660 94426358 112585273 145271320 188852716 225170546 236065895 323228687 377705432 450341092 472131790 562926365 646457374 900682184 944263580 1125852730 1292914748 1463608549 1616143435 1888527160 2251705460 2585829496 2927217098 3232286870 4201972931 4503410920 5854434196 6464573740 7318042745 8403945862 10020089297 11708868392 12929147480 14636085490 16807891724 20040178594 21009864655 29272170980 33615783448 40080357188 42019729310 50100446485 58544341960 80160714376 84039458620 100200892970 130261160861 168078917240 200401785940 260522321722 400803571880 521044643444 651305804305 1042089286888 1302611608610 2605223217220 5210446434440