Search a number
-
+
2414298333984 = 253182691376591
BaseRepresentation
bin100011001000011111011…
…001010000001100100000
322112210201121020211211020
4203020133121100030200
5304023440333141414
65045040252045440
7336266364145005
oct43103731201440
98483647224736
102414298333984
11850997518129
1232baa7763880
1314688a247c64
1484bd19c78ac
1542c04cd97a9
hex2321f650320

2414298333984 has 48 divisors (see below), whose sum is σ = 6337884631680. Its totient is φ = 804721475840.

The previous prime is 2414298333947. The next prime is 2414298333991. The reversal of 2414298333984 is 4893338924142.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1065529 + ... + 2442119.

It is an arithmetic number, because the mean of its divisors is an integer number (132039263160).

Almost surely, 22414298333984 is an apocalyptic number.

2414298333984 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2414298333984 is an abundant number, since it is smaller than the sum of its proper divisors (3923586297696).

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

2414298333984 is a wasteful number, since it uses less digits than its factorization.

2414298333984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1394873 (or 1394865 counting only the distinct ones).

The product of its digits is 35831808, while the sum is 60.

The spelling of 2414298333984 in words is "two trillion, four hundred fourteen billion, two hundred ninety-eight million, three hundred thirty-three thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 18269 36538 54807 73076 109614 146152 219228 292304 438456 584608 876912 1376591 1753824 2753182 4129773 5506364 8259546 11012728 16519092 22025456 33038184 44050912 66076368 132152736 25148940979 50297881958 75446822937 100595763916 150893645874 201191527832 301787291748 402383055664 603574583496 804766111328 1207149166992 2414298333984