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41141909088 = 2532723887291
BaseRepresentation
bin100110010100001111…
…111011011001100000
310221012020202112021200
4212110033323121200
51133224312042323
630522245521200
72654351312550
oct462417733140
9127166675250
1041141909088
11164a2598265
127b82413200
133b58817a07
141dc40d9160
15110bd9a443
hex9943fb660

41141909088 has 144 divisors (see below), whose sum is σ = 139524892416. Its totient is φ = 11243738880.

The previous prime is 41141909057. The next prime is 41141909089. The reversal of 41141909088 is 88090914114.

41141909088 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41141909089) 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, 397278 + ... + 490013.

It is an arithmetic number, because the mean of its divisors is an integer number (968922864).

Almost surely, 241141909088 is an apocalyptic number.

41141909088 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

41141909088 is an abundant number, since it is smaller than the sum of its proper divisors (98382983328).

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

41141909088 is a wasteful number, since it uses less digits than its factorization.

41141909088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 887337 (or 887326 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 45.

The spelling of 41141909088 in words is "forty-one billion, one hundred forty-one million, nine hundred nine thousand, eighty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 23 24 28 32 36 42 46 48 56 63 69 72 84 92 96 112 126 138 144 161 168 184 207 224 252 276 288 322 336 368 414 483 504 552 644 672 736 828 966 1008 1104 1288 1449 1656 1932 2016 2208 2576 2898 3312 3864 5152 5796 6624 7728 11592 15456 23184 46368 887291 1774582 2661873 3549164 5323746 6211037 7098328 7985619 10647492 12422074 14196656 15971238 18633111 20407693 21294984 24844148 28393312 31942476 37266222 40815386 42589968 49688296 55899333 61223079 63884952 74532444 81630772 85179936 99376592 111798666 122446158 127769904 142853851 149064888 163261544 183669237 198753184 223597332 244892316 255539808 285707702 298129776 326523088 367338474 428561553 447194664 489784632 571415404 596259552 653046176 734676948 857123106 894389328 979569264 1142830808 1285684659 1469353896 1714246212 1788778656 1959138528 2285661616 2571369318 2938707792 3428492424 4571323232 5142738636 5877415584 6856984848 10285477272 13713969696 20570954544 41141909088