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41203200230214 = 231137127523254027
BaseRepresentation
bin10010101111001010111100…
…00111010000001101000110
312101212222122212102122211220
421113211132013100031012
520400033123224331324
6223344253332541210
711451555466206021
oct1127453607201506
9171788585378756
1041203200230214
11121461a7401520
124755558481806
1319cb5a2ba19c9
14a26361a4c1b8
154b6bca84db79
hex25795e1d0346

41203200230214 has 128 divisors (see below), whose sum is σ = 93232844439552. Its totient is φ = 12029614611840.

The previous prime is 41203200230201. The next prime is 41203200230221.

It is a happy number.

41203200230214 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×412032002302142 (a number of 28 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 162073069 + ... + 162327095.

It is an arithmetic number, because the mean of its divisors is an integer number (728381597184).

Almost surely, 241203200230214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41203200230214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46616422219776).

41203200230214 is an abundant number, since it is smaller than the sum of its proper divisors (52029644209338).

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

41203200230214 is a wasteful number, since it uses less digits than its factorization.

41203200230214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254730.

The product of its (nonzero) digits is 2304, while the sum is 24.

It can be divided in two parts, 41203200 and 230214, that added together give a palindrome (41433414).

The spelling of 41203200230214 in words is "forty-one trillion, two hundred three billion, two hundred million, two hundred thirty thousand, two hundred fourteen".

Divisors: 1 2 3 6 11 22 33 37 66 74 111 127 222 254 381 407 523 762 814 1046 1221 1397 1569 2442 2794 3138 4191 4699 5753 8382 9398 11506 14097 17259 19351 28194 34518 38702 51689 58053 66421 103378 116106 132842 155067 199263 212861 254027 310134 398526 425722 508054 638583 730631 762081 1277166 1461262 1524162 2191893 2457577 2794297 4383786 4915154 5588594 7372731 8382891 9398999 14745462 16765782 18797998 27033347 28196997 32261429 54066694 56393994 64522858 81100041 96784287 103388989 132856121 162200082 193568574 206777978 265712242 310166967 354875719 398568363 620333934 709751438 797136726 1064627157 1193672873 1461417331 2129254314 2387345746 2922834662 3581018619 4384251993 4915676477 7162037238 8768503986 9831352954 13130401603 14747029431 16872727367 26260803206 29494058862 33745454734 39391204809 50618182101 54072441247 78782409618 101236364202 108144882494 162217323741 185600001037 324434647482 371200002074 556800003111 624290912579 1113600006222 1248581825158 1872872737737 3745745475474 6867200038369 13734400076738 20601600115107 41203200230214