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41284308312 = 23331321130953
BaseRepresentation
bin100110011100101111…
…001000110101011000
310221120011201011022000
4212130233020311120
51134022240331222
630544334001000
72661030554622
oct463457106530
9127504634260
1041284308312
1116565a08975
128002046160
133b7c185100
141dd8da5c12
1511196279ac
hex99cbc8d58

41284308312 has 96 divisors (see below), whose sum is σ = 124178749200. Its totient is φ = 12702852864.

The previous prime is 41284308277. The next prime is 41284308313. The reversal of 41284308312 is 21380348214.

It is a happy number.

41284308312 is a `hidden beast` number, since 41 + 284 + 308 + 31 + 2 = 666.

41284308312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×412843083122 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41284308313) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 528973 + ... + 601980.

Almost surely, 241284308312 is an apocalyptic number.

It is an amenable number.

41284308312 is an abundant number, since it is smaller than the sum of its proper divisors (82894440888).

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

41284308312 is a wasteful number, since it uses less digits than its factorization.

41284308312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1130994 (or 1130971 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 41284308312 in words is "forty-one billion, two hundred eighty-four million, three hundred eight thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 104 108 117 156 169 216 234 312 338 351 468 507 676 702 936 1014 1352 1404 1521 2028 2808 3042 4056 4563 6084 9126 12168 18252 36504 1130953 2261906 3392859 4523812 6785718 9047624 10178577 13571436 14702389 20357154 27142872 29404778 30535731 40714308 44107167 58809556 61071462 81428616 88214334 117619112 122142924 132321501 176428668 191131057 244285848 264643002 352857336 382262114 396964503 529286004 573393171 764524228 793929006 1058572008 1146786342 1529048456 1587858012 1720179513 2293572684 3175716024 3440359026 4587145368 5160538539 6880718052 10321077078 13761436104 20642154156 41284308312