Search a number
-
+
41010141144120 = 23356411547334457
BaseRepresentation
bin10010101001100011010101…
…11001010010010000111000
312101012112100020200221020220
421110301222321102100320
520333402232113102440
6223115444310420040
711431612346101431
oct1124615271222070
9171175306627226
1041010141144120
11120813375a8705
124724059361620
1319b631686b7a5
14a1ac89706488
154b1b7b9218d0
hex254c6ae52438

41010141144120 has 128 divisors (see below), whose sum is σ = 123233898623040. Its totient is φ = 10917954191360.

The previous prime is 41010141144113. The next prime is 41010141144121. The reversal of 41010141144120 is 2144114101014.

It is a super-2 number, since 2×410101411441202 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41010141144121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1190165932 + ... + 1190200388.

Almost surely, 241010141144120 is an apocalyptic number.

41010141144120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41010141144120 is an abundant number, since it is smaller than the sum of its proper divisors (82223757478920).

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

41010141144120 is a wasteful number, since it uses less digits than its factorization.

41010141144120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50585 (or 50581 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 24.

Adding to 41010141144120 its reverse (2144114101014), we get a palindrome (43154255245134).

The spelling of 41010141144120 in words is "forty-one trillion, ten billion, one hundred forty-one million, one hundred forty-four thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 641 1282 1923 2564 3205 3846 5128 6410 7692 9615 12820 15384 15473 19230 25640 30946 34457 38460 46419 61892 68914 76920 77365 92838 103371 123784 137828 154730 172285 185676 206742 232095 275656 309460 344570 371352 413484 464190 516855 618920 689140 826968 928380 1033710 1378280 1856760 2067420 4134840 9918193 19836386 22086937 29754579 39672772 44173874 49590965 59509158 66260811 79345544 88347748 99181930 110434685 119018316 132521622 148772895 176695496 198363860 220869370 238036632 265043244 297545790 331304055 396727720 441738740 530086488 533153161 595091580 662608110 883477480 1066306322 1190183160 1325216220 1599459483 2132612644 2650432440 2665765805 3198918966 4265225288 5331531610 6397837932 7997297415 10663063220 12795675864 15994594830 21326126440 31989189660 63978379320 341751176201 683502352402 1025253528603 1367004704804 1708755881005 2050507057206 2734009409608 3417511762010 4101014114412 5126267643015 6835023524020 8202028228824 10252535286030 13670047048040 20505070572060 41010141144120