Search a number
-
+
41214121312300 = 225210917321856139
BaseRepresentation
bin10010101111011111010010…
…00011111000000000101100
312101221000211222101010001121
421113233221003320000230
520400223010023443200
6223353301141350324
711452423226653336
oct1127575103700054
9171830758333047
1041214121312300
111214a8a10380a2
1247576a5a083a4
1319cc623657661
14a26aba258456
154b71194eee1a
hex257be90f802c

41214121312300 has 72 divisors (see below), whose sum is σ = 90776854753200. Its totient is φ = 16239984779520.

The previous prime is 41214121312297. The next prime is 41214121312303. The reversal of 41214121312300 is 321312141214.

It is an interprime number because it is at equal distance from previous prime (41214121312297) and next prime (41214121312303).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (41214121312303) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9042370 + ... + 12813769.

It is an arithmetic number, because the mean of its divisors is an integer number (1260789649350).

Almost surely, 241214121312300 is an apocalyptic number.

It is an amenable number.

41214121312300 is an abundant number, since it is smaller than the sum of its proper divisors (49562733440900).

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

41214121312300 is a wasteful number, since it uses less digits than its factorization.

41214121312300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21856435 (or 21856428 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

Adding to 41214121312300 its reverse (321312141214), we get a palindrome (41535433453514).

The spelling of 41214121312300 in words is "forty-one trillion, two hundred fourteen billion, one hundred twenty-one million, three hundred twelve thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 109 173 218 346 436 545 692 865 1090 1730 2180 2725 3460 4325 5450 8650 10900 17300 18857 37714 75428 94285 188570 377140 471425 942850 1885700 21856139 43712278 87424556 109280695 218561390 437122780 546403475 1092806950 2185613900 2382319151 3781112047 4764638302 7562224094 9529276604 11911595755 15124448188 18905560235 23823191510 37811120470 47646383020 59557978775 75622240940 94527801175 119115957550 189055602350 238231915100 378111204700 412141213123 824282426246 1648564852492 2060706065615 4121412131230 8242824262460 10303530328075 20607060656150 41214121312300