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40941294048 = 2533307154351
BaseRepresentation
bin100110001000010010…
…101001000111100000
310220200021021020012000
4212020102221013200
51132321432402143
630450322004000
72646364154214
oct461022510740
9126607236160
1040941294048
11163aa325206
127b271a6600
133b260a67a5
141da55d6944
1510e946dbd3
hex9884a91e0

40941294048 has 96 divisors (see below), whose sum is σ = 119801848320. Its totient is φ = 13602556800.

The previous prime is 40941294019. The next prime is 40941294083. The reversal of 40941294048 is 84049214904.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 40941293994 and 40941294012.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 188073 + ... + 342423.

It is an arithmetic number, because the mean of its divisors is an integer number (1247935920).

Almost surely, 240941294048 is an apocalyptic number.

40941294048 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40941294048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59900924160).

40941294048 is an abundant number, since it is smaller than the sum of its proper divisors (78860554272).

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

40941294048 is a wasteful number, since it uses less digits than its factorization.

40941294048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154677 (or 154663 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 40941294048 in words is "forty billion, nine hundred forty-one million, two hundred ninety-four thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 307 432 614 864 921 1228 1842 2456 2763 3684 4912 5526 7368 8289 9824 11052 14736 16578 22104 29472 33156 44208 66312 88416 132624 154351 265248 308702 463053 617404 926106 1234808 1389159 1852212 2469616 2778318 3704424 4167477 4939232 5556636 7408848 8334954 11113272 14817696 16669908 22226544 33339816 44453088 47385757 66679632 94771514 133359264 142157271 189543028 284314542 379086056 426471813 568629084 758172112 852943626 1137258168 1279415439 1516344224 1705887252 2274516336 2558830878 3411774504 4549032672 5117661756 6823549008 10235323512 13647098016 20470647024 40941294048