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434317107755740 = 2251126317774224167
BaseRepresentation
bin110001011000000100101010…
…0111011010111101011011100
32002221210022100222211122022011
41202300021110323113223130
5423411322414041140430
64135414305212001004
7160324242544645246
oct14260112473275334
92087708328748264
10434317107755740
1111642893a782720
1240865694760164
1315845c09a05401
1479370bb1a5096
1535328b843122a
hex18b0254ed7adc

434317107755740 has 96 divisors (see below), whose sum is σ = 999326495591424. Its totient is φ = 157244410383360.

The previous prime is 434317107755723. The next prime is 434317107755771. The reversal of 434317107755740 is 47557701713434.

It is a super-2 number, since 2×4343171077557402 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 100705137 + ... + 104929303.

It is an arithmetic number, because the mean of its divisors is an integer number (10409650995744).

Almost surely, 2434317107755740 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 434317107755740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499663247795712).

434317107755740 is an abundant number, since it is smaller than the sum of its proper divisors (565009387835684).

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

434317107755740 is a wasteful number, since it uses less digits than its factorization.

434317107755740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4226227 (or 4226225 counting only the distinct ones).

The product of its (nonzero) digits is 34574400, while the sum is 58.

The spelling of 434317107755740 in words is "four hundred thirty-four trillion, three hundred seventeen billion, one hundred seven million, seven hundred fifty-five thousand, seven hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 263 526 1052 1315 1777 2630 2893 3554 5260 5786 7108 8885 11572 14465 17770 19547 28930 35540 39094 57860 78188 97735 195470 390940 467351 934702 1869404 2336755 4224167 4673510 5140861 8448334 9347020 10281722 16896668 20563444 21120835 25704305 42241670 46465837 51408610 84483340 92931674 102817220 185863348 232329185 464658370 929316740 1110955921 2221911842 4443823684 5554779605 7506344759 11109559210 12220515131 15012689518 22219118420 24441030262 30025379036 37531723795 48882060524 61102575655 75063447590 82569792349 122205151310 150126895180 165139584698 244410302620 330279169396 412848961745 825697923490 1651395846980 1974168671617 3948337343234 7896674686468 9870843358085 19741686716170 21715855387787 39483373432340 43431710775574 86863421551148 108579276938935 217158553877870 434317107755740