Search a number
-
+
1004322041344 = 297140168897
BaseRepresentation
bin11101001110101100100…
…00100010111000000000
310120000022221002212121101
432213112100202320000
5112423322420310334
62045213522504144
7132363015332446
oct16472620427000
93500287085541
101004322041344
11357a26678596
12142789505054
137392683465b
143687646ab96
151b1d0e01214
hexe9d6422e00

1004322041344 has 80 divisors (see below), whose sum is σ = 2040049937376. Its totient is φ = 493846528000.

The previous prime is 1004322041323. The next prime is 1004322041347. The reversal of 1004322041344 is 4431402234001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1004322041347) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14542704 + ... + 14611600.

Almost surely, 21004322041344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1004322041344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1020024968688).

1004322041344 is an abundant number, since it is smaller than the sum of its proper divisors (1035727896032).

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

1004322041344 is an frugal number, since it uses more digits than its factorization.

1004322041344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69387 (or 69371 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 1004322041344 its reverse (4431402234001), we get a palindrome (5435724275345).

The spelling of 1004322041344 in words is "one trillion, four billion, three hundred twenty-two million, forty-one thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 32 64 71 128 142 256 284 401 512 568 802 1136 1604 2272 3208 4544 6416 9088 12832 18176 25664 28471 36352 51328 56942 68897 102656 113884 137794 205312 227768 275588 455536 551176 911072 1102352 1822144 2204704 3644288 4409408 4891687 7288576 8818816 9783374 14577152 17637632 19566748 27627697 35275264 39133496 55255394 78266992 110510788 156533984 221021576 313067968 442043152 626135936 884086304 1252271872 1768172608 1961566487 2504543744 3536345216 3923132974 7072690432 7846265948 14145380864 15692531896 31385063792 62770127584 125540255168 251080510336 502161020672 1004322041344