Search a number
-
+
321012042420440 = 23574232572708689
BaseRepresentation
bin100100011111101010111000…
…0110000011101000011011000
31120002121110012011202212020202
41020333111300300131003120
5314033430130324423230
63054422521343441332
7124421232444243350
oct11077256060350330
91502543164685222
10321012042420440
11933144961a8138
123000634b5b6248
1310a173c884c347
14593b0cc5dbb60
15271a3d72aaa45
hex123f570c1d0d8

321012042420440 has 64 divisors (see below), whose sum is σ = 825461792654400. Its totient is φ = 110060971020288.

The previous prime is 321012042420403. The next prime is 321012042420469. The reversal of 321012042420440 is 44024240210123.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 117157616 + ... + 119866304.

It is an arithmetic number, because the mean of its divisors is an integer number (12897840510225).

Almost surely, 2321012042420440 is an apocalyptic number.

It is an amenable number.

321012042420440 is an abundant number, since it is smaller than the sum of its proper divisors (504449750233960).

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

321012042420440 is a wasteful number, since it uses less digits than its factorization.

321012042420440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3131964 (or 3131960 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 29.

Adding to 321012042420440 its reverse (44024240210123), we get a palindrome (365036282630563).

The spelling of 321012042420440 in words is "three hundred twenty-one trillion, twelve billion, forty-two million, four hundred twenty thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 423257 846514 1693028 2116285 2708689 2962799 3386056 4232570 5417378 5925598 8465140 10834756 11851196 13543445 14813995 16930280 18960823 21669512 23702392 27086890 29627990 37921646 54173780 59255980 75843292 94804115 108347560 118511960 151686584 189608230 379216460 758432920 1146471580073 2292943160146 4585886320292 5732357900365 8025301060511 9171772640584 11464715800730 16050602121022 22929431601460 32101204242044 40126505302555 45858863202920 64202408484088 80253010605110 160506021210220 321012042420440