Search a number
-
+
1417707967820 = 225435397320657
BaseRepresentation
bin10100101000010101111…
…110101101010101001100
312000112100111122202122212
4110220111332231111030
5141211431214432240
63003141441525552
7204266060616254
oct24502576552514
95015314582585
101417707967820
114a7279208641
121aa9176438b8
13a38c6499241
144c890338964
1526d27a80165
hex14a15fad54c

1417707967820 has 96 divisors (see below), whose sum is σ = 3135912107328. Its totient is φ = 537840156672.

The previous prime is 1417707967817. The next prime is 1417707967829. The reversal of 1417707967820 is 287697077141.

It is a self number, because there is not a number n which added to its sum of digits gives 1417707967820.

It is not an unprimeable number, because it can be changed into a prime (1417707967829) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4260932 + ... + 4581588.

It is an arithmetic number, because the mean of its divisors is an integer number (32665751118).

Almost surely, 21417707967820 is an apocalyptic number.

1417707967820 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 1417707967820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1567956053664).

1417707967820 is an abundant number, since it is smaller than the sum of its proper divisors (1718204139508).

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

1417707967820 is a wasteful number, since it uses less digits than its factorization.

1417707967820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320859 (or 320857 counting only the distinct ones).

The product of its (nonzero) digits is 8297856, while the sum is 59.

The spelling of 1417707967820 in words is "one trillion, four hundred seventeen billion, seven hundred seven million, nine hundred sixty-seven thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 20 43 53 86 97 106 172 194 212 215 265 388 430 485 530 860 970 1060 1940 2279 4171 4558 5141 8342 9116 10282 11395 16684 20564 20855 22790 25705 41710 45580 51410 83420 102820 221063 320657 442126 641314 884252 1105315 1282628 1603285 2210630 3206570 4421260 6413140 13788251 16994821 27576502 31103729 33989642 55153004 62207458 67979284 68941255 84974105 124414916 137882510 155518645 169948210 275765020 311037290 339896420 622074580 730777303 1337460347 1461554606 1648497637 2674920694 2923109212 3296995274 3653886515 5349841388 6593990548 6687301735 7307773030 8242488185 13374603470 14615546060 16484976370 26749206940 32969952740 70885398391 141770796782 283541593564 354426991955 708853983910 1417707967820