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4040104141032 = 23323257203913967
BaseRepresentation
bin111010110010101000111…
…110001110000011101000
3112022020012210201011001220
4322302220332032003220
51012143113130003112
612331555340542040
7564613355404101
oct72625076160350
915266183634056
104040104141032
11131844250a383
12552bba851920
13233c986115bb
14dd7836993a8
157015bbb398c
hex3aca8f8e0e8

4040104141032 has 128 divisors (see below), whose sum is σ = 10586358374400. Its totient is φ = 1282415771648.

The previous prime is 4040104141001. The next prime is 4040104141061. The reversal of 4040104141032 is 2301414010404.

4040104141032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 4040104140993 and 4040104141011.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 289253713 + ... + 289267679.

It is an arithmetic number, because the mean of its divisors is an integer number (82705924800).

Almost surely, 24040104141032 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 4040104141032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5293179187200).

4040104141032 is an abundant number, since it is smaller than the sum of its proper divisors (6546254233368).

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

4040104141032 is a wasteful number, since it uses less digits than its factorization.

4040104141032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16295 (or 16291 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 4040104141032 its reverse (2301414010404), we get a palindrome (6341518151436).

The spelling of 4040104141032 in words is "four trillion, forty billion, one hundred four million, one hundred forty-one thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 138 184 257 276 514 552 771 1028 1542 2039 2056 3084 4078 5911 6117 6168 8156 11822 12234 13967 16312 17733 23644 24468 27934 35466 41901 46897 47288 48936 55868 70932 83802 93794 111736 140691 141864 167604 187588 281382 321241 335208 375176 524023 562764 642482 963723 1048046 1125528 1284964 1572069 1927446 2096092 2569928 3144138 3589519 3854892 4192184 6288276 7179038 7709784 10768557 12052529 12576552 14358076 21537114 24105058 28478713 28716152 36157587 43074228 48210116 56957426 72315174 82558937 85436139 86148456 96420232 113914852 144630348 165117874 170872278 227829704 247676811 289260696 330235748 341744556 495353622 655010399 660471496 683489112 990707244 1310020798 1965031197 1981414488 2620041596 3930062394 5240083192 7319029241 7860124788 14638058482 15720249576 21957087723 29276116964 43914175446 58552233928 87828350892 168337672543 175656701784 336675345086 505013017629 673350690172 1010026035258 1346701380344 2020052070516 4040104141032