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29440096740 = 223253141128683
BaseRepresentation
bin11011011010110001…
…000011100111100100
32210222201201212111100
4123122301003213210
5440243131043430
621305151240100
72061360456555
oct333261034744
983881655440
1029440096740
111153819246a
125857519030
132a123980b2
1415d3d3c32c
15b748cb960
hex6dac439e4

29440096740 has 144 divisors (see below), whose sum is σ = 94431407616. Its totient is φ = 7412083200.

The previous prime is 29440096727. The next prime is 29440096747. The reversal of 29440096740 is 4769004492.

29440096740 is a `hidden beast` number, since 2 + 94 + 400 + 96 + 74 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (29440096747) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 164439 + ... + 293121.

It is an arithmetic number, because the mean of its divisors is an integer number (655773664).

Almost surely, 229440096740 is an apocalyptic number.

29440096740 is a gapful number since it is divisible by the number (20) 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 29440096740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47215703808).

29440096740 is an abundant number, since it is smaller than the sum of its proper divisors (64991310876).

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

29440096740 is a wasteful number, since it uses less digits than its factorization.

29440096740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128770 (or 128765 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 29440096740 in words is "twenty-nine billion, four hundred forty million, ninety-six thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 31 36 41 45 60 62 82 90 93 123 124 155 164 180 186 205 246 279 310 369 372 410 465 492 558 615 620 738 820 930 1116 1230 1271 1395 1476 1845 1860 2460 2542 2790 3690 3813 5084 5580 6355 7380 7626 11439 12710 15252 19065 22878 25420 38130 45756 57195 76260 114390 128683 228780 257366 386049 514732 643415 772098 1158147 1286830 1544196 1930245 2316294 2573660 3860490 3989173 4632588 5276003 5790735 7720980 7978346 10552006 11581470 11967519 15828009 15956692 19945865 21104012 23162940 23935038 26380015 31656018 35902557 39891730 47484027 47870076 52760030 59837595 63312036 71805114 79140045 79783460 94968054 105520060 119675190 143610228 158280090 163556093 179512785 189936108 237420135 239350380 316560180 327112186 359025570 474840270 490668279 654224372 718051140 817780465 949680540 981336558 1472004837 1635560930 1962673116 2453341395 2944009674 3271121860 4906682790 5888019348 7360024185 9813365580 14720048370 29440096740