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40103485451316 = 22327673079771431
BaseRepresentation
bin10010001111001010100100…
…00000010010110000110100
312020222212002212001121220200
421013211102000102300310
520224023414233420231
6221143141544400500
711306244516625620
oct1107452200226064
9166885085047820
1040103485451316
111186187a050351
1245b83a8176130
13194b98621b721
149c903a3cc180
154982b4e3cbe6
hex247952012c34

40103485451316 has 144 divisors (see below), whose sum is σ = 117622026762240. Its totient is φ = 11283441238080.

The previous prime is 40103485451311. The next prime is 40103485451317. The reversal of 40103485451316 is 61315458430104.

It is a happy number.

40103485451316 is a `hidden beast` number, since 4 + 0 + 10 + 34 + 85 + 4 + 513 + 16 = 666.

It is a super-2 number, since 2×401034854513162 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40103485451311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 51600121 + ... + 52371551.

Almost surely, 240103485451316 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 40103485451316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58811013381120).

40103485451316 is an abundant number, since it is smaller than the sum of its proper divisors (77518541310924).

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

40103485451316 is a wasteful number, since it uses less digits than its factorization.

40103485451316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 774594 (or 774589 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 40103485451316 in words is "forty trillion, one hundred three billion, four hundred eighty-five million, four hundred fifty-one thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 67 84 126 134 201 252 268 402 469 603 804 938 1206 1407 1876 2412 2814 3079 4221 5628 6158 8442 9237 12316 16884 18474 21553 27711 36948 43106 55422 64659 86212 110844 129318 193977 206293 258636 387954 412586 618879 771431 775908 825172 1237758 1444051 1542862 1856637 2314293 2475516 2888102 3085724 3713274 4332153 4628586 5400017 5776204 6942879 7426548 8664306 9257172 10800034 12996459 13885758 16200051 17328612 21600068 25992918 27771516 32400102 48600153 51685877 51985836 64800204 97200306 103371754 155057631 194400612 206743508 310115262 361801139 465172893 620230524 723602278 930345786 1085403417 1447204556 1860691572 2170806834 2375236049 3256210251 4341613668 4750472098 6512420502 7125708147 9500944196 13024841004 14251416294 16626652343 21377124441 28502832588 33253304686 42754248882 49879957029 66506609372 85508497764 99759914058 149639871087 159140815283 199519828116 299279742174 318281630566 477422445849 598559484348 636563261132 954844891698 1113985706981 1432267337547 1909689783396 2227971413962 2864534675094 3341957120943 4455942827924 5729069350188 6683914241886 10025871362829 13367828483772 20051742725658 40103485451316