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41540135061152 = 25713101141239171
BaseRepresentation
bin10010111000111110100001…
…11111101000011010100000
312110002012100102202111121102
421130133100333220122200
520421043144033424102
6224203135151413532
711515114162053260
oct1134372077503240
9173065312674542
1041540135061152
1112266088324992
1247aa90b2242a8
131a242aaa31960
14a387a622d7a0
154c084a87b402
hex25c7d0fe86a0

41540135061152 has 96 divisors (see below), whose sum is σ = 101651526958464. Its totient is φ = 16270752384000.

The previous prime is 41540135061119. The next prime is 41540135061157. The reversal of 41540135061152 is 25116053104514.

41540135061152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (41540135061157) 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 15 ways as a sum of consecutive naturals, for example, 70325474 + ... + 70913697.

It is an arithmetic number, because the mean of its divisors is an integer number (1058870072484).

Almost surely, 241540135061152 is an apocalyptic number.

It is an amenable number.

41540135061152 is an abundant number, since it is smaller than the sum of its proper divisors (60111391897312).

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

41540135061152 is a wasteful number, since it uses less digits than its factorization.

41540135061152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141239302 (or 141239294 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 38.

Adding to 41540135061152 its reverse (25116053104514), we get a palindrome (66656188165666).

The spelling of 41540135061152 in words is "forty-one trillion, five hundred forty billion, one hundred thirty-five million, sixty-one thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 91 101 104 112 182 202 208 224 364 404 416 707 728 808 1313 1414 1456 1616 2626 2828 2912 3232 5252 5656 9191 10504 11312 18382 21008 22624 36764 42016 73528 147056 294112 141239171 282478342 564956684 988674197 1129913368 1836109223 1977348394 2259826736 3672218446 3954696788 4519653472 7344436892 7909393576 12852764561 14265156271 14688873784 15818787152 25705529122 28530312542 29377747568 31637574304 51411058244 57060625084 58755495136 99856093897 102822116488 114121250168 185447031523 199712187794 205644232976 228242500336 370894063046 399424375588 411288465952 456485000672 741788126092 798848751176 1298129220661 1483576252184 1597697502352 2596258441322 2967152504368 3195395004704 5192516882644 5934305008736 10385033765288 20770067530576 41540135061152