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41400244200414 = 231110132153287611
BaseRepresentation
bin10010110100111001111101…
…10110010110001111011110
312102120211021012102110210010
421122130332312112033132
520411300200003403124
6224015002025024050
711502032434262241
oct1132347666261736
9172524235373703
1041400244200414
1112211821604790
12478778a025026
131a14045963308
14a31ad52d1258
154bbdae517529
hex25a73ed963de

41400244200414 has 64 divisors (see below), whose sum is σ = 90459284467968. Its totient is φ = 12527279212800.

The previous prime is 41400244200233. The next prime is 41400244200449.

41400244200414 is nontrivially palindromic in base 10.

It is a congruent number.

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, 143801469 + ... + 144089079.

It is an arithmetic number, because the mean of its divisors is an integer number (1413426319812).

Almost surely, 241400244200414 is an apocalyptic number.

41400244200414 is an abundant number, since it is smaller than the sum of its proper divisors (49059040267554).

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

41400244200414 is a wasteful number, since it uses less digits than its factorization.

41400244200414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290793.

The product of its (nonzero) digits is 16384, while the sum is 30.

It can be divided in two parts, 4140024 and 4200414, that added together give a palindrome (8340438).

The spelling of 41400244200414 in words is "forty-one trillion, four hundred billion, two hundred forty-four million, two hundred thousand, four hundred fourteen".

Divisors: 1 2 3 6 11 22 33 66 1013 2026 2153 3039 4306 6078 6459 11143 12918 22286 23683 33429 47366 66858 71049 142098 287611 575222 862833 1725666 2180989 3163721 4361978 6327442 6542967 9491163 13085934 18982326 23990879 47981758 71972637 143945274 291349943 582699886 619226483 874049829 1238452966 1748099658 1857679449 3204849373 3715358898 6409698746 6811491313 9614548119 13622982626 19229096238 20434473939 40868947878 627276427279 1254552854558 1881829281837 3763658563674 6900040700069 13800081400138 20700122100207 41400244200414