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40411018454112 = 2532536074361569
BaseRepresentation
bin10010011000000111011000…
…11001100110010001100000
312022002020220100122211211100
421030003230121212101200
520244043231211012422
6221540322100114400
711340412465210455
oct1114035431462140
9168066810584740
1040411018454112
111197024244a099
124647b14395a00
1319719868c2027
149d9c91b9382c
154a12b3aec7ac
hex24c0ec666460

40411018454112 has 144 divisors (see below), whose sum is σ = 117280035250560. Its totient is φ = 13194406158336.

The previous prime is 40411018454099. The next prime is 40411018454117. The reversal of 40411018454112 is 21145481011404.

40411018454112 is a `hidden beast` number, since 4 + 0 + 4 + 1 + 101 + 8 + 4 + 541 + 1 + 2 = 666.

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

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 (40411018454117) 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, 7084464 + ... + 11446032.

It is an arithmetic number, because the mean of its divisors is an integer number (814444689240).

Almost surely, 240411018454112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40411018454112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58640017625280).

40411018454112 is an abundant number, since it is smaller than the sum of its proper divisors (76869016796448).

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

40411018454112 is a wasteful number, since it uses less digits than its factorization.

40411018454112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4362245 (or 4362234 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

Adding to 40411018454112 its reverse (21145481011404), we get a palindrome (61556499465516).

The spelling of 40411018454112 in words is "forty trillion, four hundred eleven billion, eighteen million, four hundred fifty-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 53 72 96 106 144 159 212 288 318 424 477 607 636 848 954 1214 1272 1696 1821 1908 2428 2544 3642 3816 4856 5088 5463 7284 7632 9712 10926 14568 15264 19424 21852 29136 32171 43704 58272 64342 87408 96513 128684 174816 193026 257368 289539 386052 514736 579078 772104 1029472 1158156 1544208 2316312 3088416 4361569 4632624 8723138 9265248 13084707 17446276 26169414 34892552 39254121 52338828 69785104 78508242 104677656 139570208 157016484 209355312 231163157 314032968 418710624 462326314 628065936 693489471 924652628 1256131872 1386978942 1849305256 2080468413 2647472383 2773957884 3698610512 4160936826 5294944766 5547915768 7397221024 7942417149 8321873652 10589889532 11095831536 15884834298 16643747304 21179779064 22191663072 23827251447 31769668596 33287494608 42359558128 47654502894 63539337192 66574989216 84719116256 95309005788 127078674384 140316036299 190618011576 254157348768 280632072598 381236023152 420948108897 561264145196 762472046304 841896217794 1122528290392 1262844326691 1683792435588 2245056580784 2525688653382 3367584871176 4490113161568 5051377306764 6735169742352 10102754613528 13470339484704 20205509227056 40411018454112