Search a number
-
+
1416422085320 = 2351138923573511
BaseRepresentation
bin10100100111001001010…
…101011101001011001000
312000102000220001011111002
4110213021111131023020
5141201313023212240
63002410104554132
7204222155034554
oct24471125351310
95012026034432
101416422085320
114a6779383030
121aa618a82948
13a374cc65018
144c7ab650864
1526c9ec2cd15
hex149c955d2c8

1416422085320 has 128 divisors (see below), whose sum is σ = 3488081875200. Its totient is φ = 513374284800.

The previous prime is 1416422085319. The next prime is 1416422085329. The reversal of 1416422085320 is 235802246141.

It is not an unprimeable number, because it can be changed into a prime (1416422085329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 403422365 + ... + 403425875.

It is an arithmetic number, because the mean of its divisors is an integer number (27250639650).

Almost surely, 21416422085320 is an apocalyptic number.

1416422085320 is a gapful number since it is divisible by the number (10) 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 1416422085320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1744040937600).

1416422085320 is an abundant number, since it is smaller than the sum of its proper divisors (2071659789880).

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

1416422085320 is a wasteful number, since it uses less digits than its factorization.

1416422085320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6279 (or 6275 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 38.

The spelling of 1416422085320 in words is "one trillion, four hundred sixteen billion, four hundred twenty-two million, eighty-five thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 389 440 778 1556 1945 2357 3112 3511 3890 4279 4714 7022 7780 8558 9428 11785 14044 15560 17116 17555 18856 21395 23570 25927 28088 34232 35110 38621 42790 47140 51854 70220 77242 85580 94280 103708 129635 140440 154484 171160 193105 207416 259270 308968 386210 518540 772420 916873 1037080 1365779 1544840 1833746 2731558 3667492 4584365 5463116 6828895 7334984 8275427 9168730 10085603 10926232 13657790 15023569 16550854 18337460 20171206 27315580 30047138 33101708 36674920 40342412 41377135 50428015 54631160 60094276 66203416 75117845 80684824 82754270 91029697 100856030 120188552 150235690 165508540 182059394 201712060 300471380 331017080 364118788 403424120 455148485 600942760 728237576 910296970 1820593940 3219141103 3641187880 6438282206 12876564412 16095705515 25753128824 32191411030 35410552133 64382822060 70821104266 128765644120 141642208532 177052760665 283284417064 354105521330 708211042660 1416422085320