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41401503451100 = 225213414253182639
BaseRepresentation
bin10010110100111100010011…
…11010000000011111011100
312102120221111221221000222102
421122132021322000133130
520411310234340413400
6224015331011104232
711502105564604112
oct1132361172003734
9172527457830872
1041401503451100
11122123083aa431
124787a7b8a2078
131a141b6801670
14a31bb4645ab2
154bbe34d589d5
hex25a789e807dc

41401503451100 has 144 divisors (see below), whose sum is σ = 99135783653760. Its totient is φ = 14910274099200.

The previous prime is 41401503451067. The next prime is 41401503451103. The reversal of 41401503451100 is 115430510414.

41401503451100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×414015034511002 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41401503451103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 226593581 + ... + 226776219.

It is an arithmetic number, because the mean of its divisors is an integer number (688442942040).

Almost surely, 241401503451100 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 41401503451100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49567891826880).

41401503451100 is an abundant number, since it is smaller than the sum of its proper divisors (57734280202660).

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

41401503451100 is a wasteful number, since it uses less digits than its factorization.

41401503451100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186960 (or 186953 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 29.

Adding to 41401503451100 its reverse (115430510414), we get a palindrome (41516933961514).

The spelling of 41401503451100 in words is "forty-one trillion, four hundred one billion, five hundred three million, four hundred fifty-one thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 41 50 52 65 82 100 130 164 205 260 325 410 533 650 820 1025 1066 1300 2050 2132 2665 4100 4253 5330 8506 10660 13325 17012 21265 26650 42530 53300 55289 85060 106325 110578 174373 182639 212650 221156 276445 348746 365278 425300 552890 697492 730556 871865 913195 1105780 1382225 1743730 1826390 2266849 2374307 2764450 3487460 3652780 4359325 4533698 4565975 4748614 5528900 7488199 8718650 9067396 9131950 9497228 11334245 11871535 14976398 17437300 18263900 22668490 23743070 29952796 37440995 45336980 47486140 56671225 59357675 74881990 97346587 113342450 118715350 149763980 187204975 194693174 226684900 237430700 374409950 389386348 486732935 748819900 776763667 973465870 1553527334 1946931740 2433664675 3107054668 3883818335 4867329350 7767636670 9734658700 10097927671 15535273340 19419091675 20195855342 31847310347 38838183350 40391710684 50489638355 63694620694 77676366700 100979276710 127389241388 159236551735 201958553420 252448191775 318473103470 414015034511 504896383550 636946206940 796182758675 828030069022 1009792767100 1592365517350 1656060138044 2070075172555 3184731034700 4140150345110 8280300690220 10350375862775 20700751725550 41401503451100