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41145688336 = 241721921572
BaseRepresentation
bin100110010100011110…
…010110000100010000
310221012111212112102211
4212110132112010100
51133231244011321
630522502521504
72654425403014
oct462436260420
9127174775384
1041145688336
11164a4739705
127b83736294
133b5953bc5c
141dc4800544
15110c3950e1
hex994796110

41145688336 has 135 divisors (see below), whose sum is σ = 89949611439. Its totient is φ = 18226750464.

The previous prime is 41145688313. The next prime is 41145688343. The reversal of 41145688336 is 63388654114.

The square root of 41145688336 is 202844.

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 277022736 + 40868665600 = 16644^2 + 202160^2 .

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 41145688336.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 262074370 + ... + 262074526.

Almost surely, 241145688336 is an apocalyptic number.

41145688336 is the 202844-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41145688336

41145688336 is an abundant number, since it is smaller than the sum of its proper divisors (48803923103).

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

41145688336 is a wasteful number, since it uses less digits than its factorization.

41145688336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394 (or 195 counting only the distinct ones).

The product of its digits is 1658880, while the sum is 49.

Multiplying 41145688336 by its sum of digits (49), we get a square (2016138728464 = 14199082).

The spelling of 41145688336 in words is "forty-one billion, one hundred forty-five million, six hundred eighty-eight thousand, three hundred thirty-six".

Divisors: 1 2 4 8 16 17 19 34 38 68 76 136 152 157 272 289 304 314 323 361 578 628 646 722 1156 1256 1292 1444 2312 2512 2584 2669 2888 2983 4624 5168 5338 5491 5776 5966 6137 10676 10982 11932 12274 21352 21964 23864 24548 24649 42704 43928 45373 47728 49096 49298 50711 56677 87856 90746 98192 98596 101422 104329 113354 181492 197192 202844 208658 226708 362984 394384 405688 417316 419033 453416 468331 725968 811376 834632 838066 862087 906832 936662 963509 1669264 1676132 1724174 1873324 1927018 3352264 3448348 3746648 3854036 6704528 6896696 7123561 7493296 7708072 7961627 8898289 13793392 14247122 15416144 15923254 16379653 17796578 28494244 31846508 32759306 35593156 56988488 63693016 65518612 71186312 113976976 127386032 131037224 135347659 142372624 151270913 262074448 270695318 302541826 541390636 605083652 1082781272 1210167304 2165562544 2420334608 2571605521 5143211042 10286422084 20572844168 41145688336