Search a number
-
+
41134051500304 = 2472989427133317
BaseRepresentation
bin10010101101001010001001…
…00001110010000100010000
312101122101011202220020000011
421112211010201302010100
520342420014141002204
6223252420011404304
711443560066540250
oct1126450441620420
9171571152806004
1041134051500304
1112119942789254
12474407a753694
1319c4c02c1b789
14a22c82109960
154b4eced41304
hex256944872110

41134051500304 has 160 divisors (see below), whose sum is σ = 95307178521600. Its totient is φ = 16825294295040.

The previous prime is 41134051500281. The next prime is 41134051500397. The reversal of 41134051500304 is 40300515043114.

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, 1234609854 + ... + 1234643170.

It is an arithmetic number, because the mean of its divisors is an integer number (595669865760).

Almost surely, 241134051500304 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 41134051500304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47653589260800).

41134051500304 is an abundant number, since it is smaller than the sum of its proper divisors (54173127021296).

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

41134051500304 is a wasteful number, since it uses less digits than its factorization.

41134051500304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37721 (or 37715 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 31.

Adding to 41134051500304 its reverse (40300515043114), we get a palindrome (81434566543418).

The spelling of 41134051500304 in words is "forty-one trillion, one hundred thirty-four billion, fifty-one million, five hundred thousand, three hundred four".

Divisors: 1 2 4 7 8 14 16 28 29 56 58 89 112 116 178 203 232 356 406 464 623 712 812 1246 1424 1624 2492 2581 3248 4271 4984 5162 8542 9968 10324 17084 18067 20648 29897 33317 34168 36134 41296 59794 66634 68336 72268 119588 123859 133268 144536 233219 239176 247718 266536 289072 380119 466438 478352 495436 533072 760238 867013 932876 966193 990872 1520476 1734026 1865752 1932386 1981744 2660833 2965213 3040952 3468052 3731504 3864772 5321666 5930426 6081904 6763351 6936104 7729544 10643332 11023451 11860852 13526702 13872208 15459088 20756491 21286664 22046902 23721704 27053404 41512982 42573328 44093804 47443408 54106808 77164157 83025964 85991177 88187608 108213616 142296907 154328314 166051928 171982354 176375216 284593814 308656628 332103856 343964708 569187628 601938239 617313256 687929416 996078349 1138375256 1203876478 1234626512 1375858832 1992156698 2276750512 2407752956 3984313396 4126610303 4815505912 7968626792 8253220606 9631011824 12664424723 15937253584 16506441212 25328849446 28886272121 33012882424 50657698892 57772544242 66025764848 88650973061 101315397784 115545088484 177301946122 202630795568 231090176968 354603892244 367268316967 462180353936 709207784488 734536633934 1418415568976 1469073267868 2570878218769 2938146535736 5141756437538 5876293071472 10283512875076 20567025750152 41134051500304