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1416235040316 = 22321743106350627
BaseRepresentation
bin10100100110111110001…
…011111011111000111100
312000101112212002021222100
4110212332023323320330
5141200422132242231
63002335343545100
7204214424135055
oct24467613737074
95011485067870
101416235040316
114a6692839388
121aa5862bb190
13a37202955c5
144c79088172c
1526c8d5d21e6
hex149be2fbe3c

1416235040316 has 144 divisors (see below), whose sum is σ = 3882388333824. Its totient is φ = 433559443968.

The previous prime is 1416235040287. The next prime is 1416235040317. The reversal of 1416235040316 is 6130405326141.

1416235040316 is a `hidden beast` number, since 1 + 4 + 1 + 6 + 235 + 0 + 403 + 16 = 666.

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 (1416235040317) 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, 27948595 + ... + 27999221.

It is an arithmetic number, because the mean of its divisors is an integer number (26961030096).

Almost surely, 21416235040316 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 1416235040316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1941194166912).

1416235040316 is an abundant number, since it is smaller than the sum of its proper divisors (2466153293508).

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

1416235040316 is a wasteful number, since it uses less digits than its factorization.

1416235040316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51760 (or 51755 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 1416235040316 in words is "one trillion, four hundred sixteen billion, two hundred thirty-five million, forty thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 43 51 68 86 102 129 153 172 204 258 306 387 516 612 731 774 1063 1462 1548 2126 2193 2924 3189 4252 4386 6378 6579 8772 9567 12756 13158 18071 19134 26316 36142 38268 45709 50627 54213 72284 91418 101254 108426 137127 151881 162639 182836 202508 216852 274254 303762 325278 411381 455643 548508 607524 650556 777053 822762 860659 911286 1554106 1645524 1721318 1822572 2176961 2331159 2581977 3108212 3442636 4353922 4662318 5163954 6530883 6993477 7745931 8707844 9324636 10327908 13061766 13986954 15491862 19592649 26123532 27973908 30983724 37008337 39185298 53816501 74016674 78370596 107633002 111025011 148033348 161449503 215266004 222050022 322899006 333075033 444100044 484348509 645798012 666150066 914880517 968697018 1332300132 1829761034 1937394036 2314109543 2744641551 3659522068 4628219086 5489283102 6942328629 8233924653 9256438172 10978566204 13884657258 16467849306 20826985887 27769314516 32935698612 39339862231 41653971774 78679724462 83307943548 118019586693 157359448924 236039173386 354058760079 472078346772 708117520158 1416235040316