Search a number
-
+
41432434890 = 235711178710037
BaseRepresentation
bin100110100101100100…
…001100100011001010
310221221111102202202120
4212211210030203022
51134323200404030
631011144512110
72664506612550
oct464544144312
9127844382676
1041432434890
1116631590630
12804377b636
133ba3a79382
142010923bd0
151127637010
hex9a590c8ca

41432434890 has 128 divisors (see below), whose sum is σ = 124056188928. Its totient is φ = 8603662080.

The previous prime is 41432434859. The next prime is 41432434903. The reversal of 41432434890 is 9843423414.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4122952 + ... + 4132988.

It is an arithmetic number, because the mean of its divisors is an integer number (969188976).

Almost surely, 241432434890 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41432434890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62028094464).

41432434890 is an abundant number, since it is smaller than the sum of its proper divisors (82623754038).

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

41432434890 is a wasteful number, since it uses less digits than its factorization.

41432434890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11852.

The product of its (nonzero) digits is 331776, while the sum is 42.

The spelling of 41432434890 in words is "forty-one billion, four hundred thirty-two million, four hundred thirty-four thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 7 10 11 14 15 21 22 30 33 35 42 55 66 70 77 105 110 154 165 210 231 330 385 462 770 1155 1787 2310 3574 5361 8935 10037 10722 12509 17870 19657 20074 25018 26805 30111 37527 39314 50185 53610 58971 60222 62545 70259 75054 98285 100370 110407 117942 125090 137599 140518 150555 187635 196570 210777 220814 275198 294855 301110 331221 351295 375270 412797 421554 552035 589710 662442 687995 702590 772849 825594 1053885 1104070 1375990 1545698 1656105 2063985 2107770 2318547 3312210 3864245 4127970 4637094 7728490 11592735 17936119 23185470 35872238 53808357 89680595 107616714 125552833 179361190 197297309 251105666 269041785 376658499 394594618 538083570 591891927 627764165 753316998 986486545 1183783854 1255528330 1381081163 1883292495 1972973090 2762162326 2959459635 3766584990 4143243489 5918919270 6905405815 8286486978 13810811630 20716217445 41432434890