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41131300313114 = 211232112267169937
BaseRepresentation
bin10010101101000101000001…
…00010110101100000011010
312101122010002001001102200022
421112202200202311200122
520342343400340004424
6223251243012110442
711443431652043324
oct1126424042654032
9171563061042608
1041131300313114
1112118760810630
124743631305422
1319c4884c5246b
14a22aa0990614
154b4dbd54995e
hex2568a08b581a

41131300313114 has 64 divisors (see below), whose sum is σ = 70596497728512. Its totient is φ = 17790463891200.

The previous prime is 41131300313099. The next prime is 41131300313149.

41131300313114 is nontrivially palindromic in base 10.

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, 241953554 + ... + 242123490.

It is an arithmetic number, because the mean of its divisors is an integer number (1103070277008).

Almost surely, 241131300313114 is an apocalyptic number.

41131300313114 is a deficient number, since it is larger than the sum of its proper divisors (29465197415398).

41131300313114 is a wasteful number, since it uses less digits than its factorization.

41131300313114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172451.

The product of its (nonzero) digits is 1296, while the sum is 26.

It can be divided in two parts, 41131300 and 313114, that added together give a palindrome (41444414).

The spelling of 41131300313114 in words is "forty-one trillion, one hundred thirty-one billion, three hundred million, three hundred thirteen thousand, one hundred fourteen".

Divisors: 1 2 11 22 23 46 211 253 422 506 2267 2321 4534 4642 4853 9706 24937 49874 52141 53383 104282 106766 169937 339874 478337 573551 956674 1147102 1869307 3738614 3908551 5261707 7817102 10523414 11001751 22003502 35856707 42994061 71713414 85988122 121019261 242038522 385247179 394423777 770494358 788847554 824704261 1649408522 4237718969 8475437938 8860685117 9071746871 17721370234 18143493742 81287154769 97467536287 162574309538 194935072574 894158702459 1788317404918 1869604559687 3739209119374 20565650156557 41131300313114