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320414204240 = 245131392216479
BaseRepresentation
bin1001010100110100010…
…11001100000101010000
31010122001012212001101122
410222122023030011100
520222202014013430
6403110220221412
732102106540644
oct4523213140520
91118035761348
10320414204240
11113983513079
125212209a868
13242a427c1c0
1411718448c24
158504996ee5
hex4a9a2cc150

320414204240 has 80 divisors (see below), whose sum is σ = 808039948800. Its totient is φ = 117455602176.

The previous prime is 320414204191. The next prime is 320414204261. The reversal of 320414204240 is 42402414023.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 963680 + ... + 1252799.

It is an arithmetic number, because the mean of its divisors is an integer number (10100499360).

Almost surely, 2320414204240 is an apocalyptic number.

It is an amenable number.

320414204240 is an abundant number, since it is smaller than the sum of its proper divisors (487625744560).

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

320414204240 is a wasteful number, since it uses less digits than its factorization.

320414204240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2216644 (or 2216638 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 26.

Adding to 320414204240 its reverse (42402414023), we get a palindrome (362816618263).

The spelling of 320414204240 in words is "three hundred twenty billion, four hundred fourteen million, two hundred four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 139 208 260 278 520 556 695 1040 1112 1390 1807 2224 2780 3614 5560 7228 9035 11120 14456 18070 28912 36140 72280 144560 2216479 4432958 8865916 11082395 17731832 22164790 28814227 35463664 44329580 57628454 88659160 115256908 144071135 177318320 230513816 288142270 308090581 461027632 576284540 616181162 1152569080 1232362324 1540452905 2305138160 2464724648 3080905810 4005177553 4929449296 6161811620 8010355106 12323623240 16020710212 20025887765 24647246480 32041420424 40051775530 64082840848 80103551060 160207102120 320414204240