Search a number
-
+
1416667267400 = 235271191991381
BaseRepresentation
bin10100100111010111111…
…100110000000101001000
312000102122222101201001212
4110213113330300011020
5141202313310024100
63002450304032252
7204231223042250
oct24472774600510
95012588351055
101416667267400
114a6894815a50
121aa687002688
13a378b9ab788
144c7d2034960
1526cb650e635
hex149d7f30148

1416667267400 has 96 divisors (see below), whose sum is σ = 4106495292480. Its totient is φ = 441558624000.

The previous prime is 1416667267369. The next prime is 1416667267447. The reversal of 1416667267400 is 47627666141.

It is a happy number.

It is a super-2 number, since 2×14166672674002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 45980291 + ... + 46011090.

It is an arithmetic number, because the mean of its divisors is an integer number (42775992630).

Almost surely, 21416667267400 is an apocalyptic number.

1416667267400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1416667267400 is an abundant number, since it is smaller than the sum of its proper divisors (2689828025080).

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

1416667267400 is a wasteful number, since it uses less digits than its factorization.

1416667267400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91991415 (or 91991406 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 50.

The spelling of 1416667267400 in words is "one trillion, four hundred sixteen billion, six hundred sixty-seven million, two hundred sixty-seven thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 25 28 35 40 44 50 55 56 70 77 88 100 110 140 154 175 200 220 275 280 308 350 385 440 550 616 700 770 1100 1400 1540 1925 2200 3080 3850 7700 15400 91991381 183982762 367965524 459956905 643939667 735931048 919913810 1011905191 1287879334 1839827620 2023810382 2299784525 2575758668 3219698335 3679655240 4047620764 4599569050 5059525955 5151517336 6439396670 7083336337 8095241528 9199138100 10119051910 12878793340 14166672674 16098491675 18398276200 20238103820 25297629775 25757586680 28333345348 32196983350 35416681685 40476207640 50595259550 56666690696 64393966700 70833363370 101190519100 128787933400 141666726740 177083408425 202381038200 283333453480 354166816850 708333633700 1416667267400