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41204214134144 = 27557577931639
BaseRepresentation
bin10010101111001100110101…
…00010111111010110000000
312101220002021112021022120022
421113212122202333112000
520400042212304243034
6223344542112233012
711451622560226115
oct1127463242772600
9171802245238508
1041204214134144
1112146677761556
12475579bb3b768
1319cb704c69669
14a2641a57890c
154b6c39879b2e
hex25799a8bf580

41204214134144 has 32 divisors (see below), whose sum is σ = 82233893055600. Its totient is φ = 20565119406592.

The previous prime is 41204214134141. The next prime is 41204214134159. The reversal of 41204214134144 is 44143141240214.

41204214134144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×412042141341442 (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 (41204214134141) 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 3 ways as a sum of consecutive naturals, for example, 288894524 + ... + 289037115.

Almost surely, 241204214134144 is an apocalyptic number.

It is an amenable number.

41204214134144 is a deficient number, since it is larger than the sum of its proper divisors (41029678921456).

41204214134144 is an equidigital number, since it uses as much as digits as its factorization.

41204214134144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 577932210 (or 577932198 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 35.

Adding to 41204214134144 its reverse (44143141240214), we get a palindrome (85347355374358).

The spelling of 41204214134144 in words is "forty-one trillion, two hundred four billion, two hundred fourteen million, one hundred thirty-four thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 64 128 557 1114 2228 4456 8912 17824 35648 71296 577931639 1155863278 2311726556 4623453112 9246906224 18493812448 36987624896 73975249792 321907922923 643815845846 1287631691692 2575263383384 5150526766768 10301053533536 20602107067072 41204214134144