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41032685016976 = 2441213922812
BaseRepresentation
bin10010101010001101010101…
…00111010101011110010000
312101021200112100222100000211
421111012222213111132100
520334234414331020401
6223134053312053504
711433341120622322
oct1125065247253620
9171250470870024
1041032685016976
111208a955a76a94
1247284ab234294
1319b849a297123
14a1bdc77bd612
154b254ab82951
hex2551aa9d5790

41032685016976 has 135 divisors (see below), whose sum is σ = 82370752352499. Its totient is φ = 19801225651200.

The previous prime is 41032685016941. The next prime is 41032685016979. The reversal of 41032685016976 is 67961058623014.

The square root of 41032685016976 is 6405676.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 5771890930576 + 35260794086400 = 2402476^2 + 5938080^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 41032685016976.

It is not an unprimeable number, because it can be changed into a prime (41032685016979) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 146023789956 + ... + 146023790236.

It is a 1-persistent number, because it is pandigital, but 2⋅41032685016976 = 82065370033952 is not.

Almost surely, 241032685016976 is an apocalyptic number.

41032685016976 is the 6405676-th square number.

It is an amenable number.

41032685016976 is an abundant number, since it is smaller than the sum of its proper divisors (41338067335523).

41032685016976 is an frugal number, since it uses more digits than its factorization.

41032685016976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 930 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 58.

The spelling of 41032685016976 in words is "forty-one trillion, thirty-two billion, six hundred eighty-five million, sixteen thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 16 41 82 139 164 278 281 328 556 562 656 1112 1124 1681 2224 2248 3362 4496 5699 6724 11398 11521 13448 19321 22796 23042 26896 38642 39059 45592 46084 77284 78118 78961 91184 92168 154568 156236 157922 184336 233659 309136 312472 315844 467318 472361 624944 631688 792161 934636 944722 1263376 1584322 1601419 1869272 1889444 3168644 3202838 3237401 3738544 3778888 5429201 6337288 6405676 6474802 7557776 10858402 10975579 12674576 12811352 12949604 21716804 21951158 25622704 25899208 32478601 43433608 43902316 51798416 64957202 65658179 86867216 87804632 129914404 131316358 132733441 175609264 222597241 259828808 262632716 265466882 445194482 449998739 519657616 525265432 530933764 890388964 899997478 1050530864 1061867528 1525605481 1780777928 1799994956 2123735056 3051210962 3561555856 3599989912 6102421924 7199979824 9126486881 12204843848 18252973762 18449948299 24409687696 36505947524 36899896598 62549824721 73011895048 73799793196 125099649442 146023790096 147599586392 250199298884 295199172784 500398597768 1000797195536 2564542813561 5129085627122 10258171254244 20516342508488 41032685016976